pucch_nr.h 39.3 KB
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/*
 * Licensed to the OpenAirInterface (OAI) Software Alliance under one or more
 * contributor license agreements.  See the NOTICE file distributed with
 * this work for additional information regarding copyright ownership.
 * The OpenAirInterface Software Alliance licenses this file to You under
 * the OAI Public License, Version 1.1  (the "License"); you may not use this file
 * except in compliance with the License.
 * You may obtain a copy of the License at
 *
 *      http://www.openairinterface.org/?page_id=698
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 *-------------------------------------------------------------------------------
 * For more information about the OpenAirInterface (OAI) Software Alliance:
 *      contact@openairinterface.org
 */

/*! \file PHY/NR_UE_TRANSPORT/pucch_nr.c
* \brief Top-level routines for generating and decoding the PUCCH physical channel
* \author A. Mico Pereperez
* \date 2018
* \version 0.1
* \company Eurecom
* \email:
* \note
* \warning
*/
//#include "PHY/defs.h"
#include "PHY/impl_defs_nr.h"
#include "PHY/defs_nr_common.h"
#include "PHY/defs_nr_UE.h"
//#include "PHY/extern.h"
//#include "LAYER2/MAC/extern.h"

#include "common/utils/LOG/log.h"
#include "common/utils/LOG/vcd_signal_dumper.h"

#include "T.h"
#define ONE_OVER_SQRT2 23170 // 32767/sqrt(2) = 23170 (ONE_OVER_SQRT2)

void nr_group_sequence_hopping (//pucch_GroupHopping_t ue->pucch_config_common_nr.puch_GroupHopping,
                                //uint8_t PUCCH_GroupHopping,
                                PHY_VARS_NR_UE *ue,
                                //uint32_t n_id,
                                uint8_t n_hop,
                                int nr_tti_tx,
                                uint8_t *u,
                                uint8_t *v);
double nr_cyclic_shift_hopping(PHY_VARS_NR_UE *ue,
                               uint8_t m0,
                               uint8_t mcs,
                               uint8_t lnormal,
                               uint8_t lprime,
                               int nr_tti_tx);
void nr_generate_pucch0(PHY_VARS_NR_UE *ue,
                        int32_t **txdataF,
                        NR_DL_FRAME_PARMS *frame_parms,
                        PUCCH_CONFIG_DEDICATED *pucch_config_dedicated,
                        int16_t amp,
                        int nr_tti_tx,
                        uint8_t m0,
                        uint8_t mcs,
                        uint8_t nrofSymbols,
                        uint8_t startingSymbolIndex,
                        uint16_t startingPRB);
void nr_generate_pucch1(PHY_VARS_NR_UE *ue,
                        int32_t **txdataF,
                        NR_DL_FRAME_PARMS *frame_parms,
                        PUCCH_CONFIG_DEDICATED *pucch_config_dedicated,
                        uint64_t payload,
                        int16_t amp,
                        int nr_tti_tx,
                        uint8_t m0,
                        uint8_t nrofSymbols,
                        uint8_t startingSymbolIndex,
                        uint16_t startingPRB,
                        uint16_t startingPRB_intraSlotHopping,
                        uint8_t timeDomainOCC,
                        uint8_t nr_bit);
void nr_generate_pucch2(PHY_VARS_NR_UE *ue,
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                        uint16_t crnti,
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                        int32_t **txdataF,
                        NR_DL_FRAME_PARMS *frame_parms,
                        PUCCH_CONFIG_DEDICATED *pucch_config_dedicated,
                        uint64_t payload,
                        int16_t amp,
                        int nr_tti_tx,
                        uint8_t nrofSymbols,
                        uint8_t startingSymbolIndex,
                        uint8_t nrofPRB,
                        uint16_t startingPRB,
                        uint8_t nr_bit);
void nr_generate_pucch3_4(PHY_VARS_NR_UE *ue,
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                          uint16_t crnti,
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                          int32_t **txdataF,
                          NR_DL_FRAME_PARMS *frame_parms,
                          pucch_format_nr_t fmt,
                          PUCCH_CONFIG_DEDICATED *pucch_config_dedicated,
                          uint64_t payload,
                          int16_t amp,
                          int nr_tti_tx,
                          uint8_t nrofSymbols,
                          uint8_t startingSymbolIndex,
                          uint8_t nrofPRB,
                          uint16_t startingPRB,
                          uint16_t startingPRB_intraSlotHopping,
                          uint8_t nr_bit,
                          uint8_t occ_length_format4,
                          uint8_t occ_index_format4);
  /*
   * The following tables implement TS 38.211 Subclause 5.2.2.2 Base sequences of length less than 36 (rows->u {0,1,..,29} / columns->n {0,1,...,M_ZC-1)
   * Where base sequence r_u_v(n)=exp[j*phi(n)*pi/4] 0<=n<=M_ZC-1 and M_ZC={6,12,18,24}
   * For M_ZC=30, base sequence r_u_v(n)=exp[-j((pi*[u+1]*[n+1]*[n+2])/31)]
   */
  int16_t table_5_2_2_2_1_Re[30][6]={ // Table 5.2.2.2-1 (Re part) TS 38.211 Subclause 5.2.2.2 Base sequences of length less than 36 (M_ZC=6)
  {-23170, 23170,-23170,-23170, 23170,-23170},
  {-23170,-23170, 23170, 23170,-23170,-23170},
  {-23170,-23170,-23170,-23170, 23170,-23170},
  { 23170, 23170, 23170,-23170, 23170,-23170},
  { 23170, 23170, 23170,-23170, 23170,-23170},
  {-23170, 23170, 23170,-23170,-23170,-23170},
  {-23170, 23170,-23170,-23170,-23170,-23170},
  {-23170, 23170, 23170,-23170, 23170, 23170},
  {-23170, 23170,-23170, 23170,-23170,-23170},
  {-23170,-23170, 23170,-23170,-23170,-23170},
  {-23170, 23170,-23170, 23170,-23170,-23170},
  {-23170, 23170,-23170, 23170, 23170,-23170},
  { 23170, 23170,-23170, 23170,-23170,-23170},
  { 23170, 23170,-23170,-23170, 23170,-23170},
  { 23170, 23170, 23170,-23170,-23170, 23170},
  { 23170, 23170, 23170, 23170,-23170,-23170},
  {-23170, 23170, 23170, 23170,-23170, 23170},
  {-23170,-23170, 23170, 23170, 23170,-23170},
  {-23170,-23170,-23170, 23170,-23170, 23170},
  {-23170, 23170, 23170,-23170, 23170,-23170},
  {-23170,-23170,-23170, 23170, 23170,-23170},
  {-23170, 23170,-23170,-23170,-23170, 23170},
  { 23170, 23170,-23170,-23170, 23170,-23170},
  { 23170, 23170,-23170,-23170, 23170,-23170},
  { 23170, 23170,-23170, 23170,-23170,-23170},
  { 23170, 23170,-23170, 23170,-23170,-23170},
  { 23170, 23170, 23170, 23170,-23170, 23170},
  { 23170, 23170, 23170,-23170, 23170, 23170},
  { 23170, 23170, 23170,-23170,-23170, 23170},
  { 23170, 23170,-23170, 23170, 23170, 23170}
  };
  int16_t table_5_2_2_2_1_Im[30][6]={ // Table 5.2.2.2-1 (Im part) TS 38.211 Subclause 5.2.2.2 Base sequences of length less than 36 (M_ZC=6)
  {-23170,-23170, 23170, 23170,-23170,-23170},
  {-23170, 23170,-23170,-23170, 23170,-23170},
  {-23170,-23170,-23170, 23170, 23170,-23170},
  { 23170, 23170, 23170, 23170,-23170,-23170},
  { 23170, 23170, 23170,-23170,-23170, 23170},
  {-23170, 23170,-23170,-23170,-23170,-23170},
  {-23170, 23170, 23170,-23170,-23170,-23170},
  {-23170,-23170, 23170,-23170, 23170,-23170},
  {-23170,-23170,-23170, 23170,-23170,-23170},
  {-23170,-23170, 23170,-23170, 23170,-23170},
  {-23170, 23170, 23170, 23170,-23170,-23170},
  {-23170,-23170,-23170, 23170, 23170,-23170},
  { 23170, 23170, 23170,-23170,-23170, 23170},
  { 23170, 23170, 23170, 23170,-23170, 23170},
  { 23170, 23170, 23170,-23170, 23170,-23170},
  { 23170, 23170, 23170,-23170, 23170,-23170},
  {-23170,-23170,-23170,-23170, 23170,-23170},
  {-23170,-23170,-23170, 23170,-23170,-23170},
  {-23170,-23170,-23170, 23170,-23170,-23170},
  {-23170, 23170, 23170,-23170,-23170,-23170},
  {-23170, 23170,-23170, 23170, 23170,-23170},
  {-23170, 23170,-23170,-23170,-23170,-23170},
  { 23170, 23170,-23170, 23170, 23170, 23170},
  { 23170, 23170,-23170,-23170, 23170,-23170},
  { 23170, 23170, 23170,-23170, 23170, 23170},
  { 23170, 23170,-23170, 23170, 23170, 23170},
  { 23170, 23170,-23170,-23170, 23170,-23170},
  { 23170, 23170,-23170, 23170,-23170,-23170},
  { 23170, 23170,-23170, 23170,-23170,-23170},
  { 23170, 23170,-23170, 23170,-23170,-23170}
  };
  int16_t table_5_2_2_2_2_Re[30][12]={ // Table 5.2.2.2-2 (Re part) TS 38.211 Subclause 5.2.2.2 Base sequences of length less than 36 (M_ZC=12)
  {-23170, 23170,-23170,-23170,-23170,-23170,-23170, 23170, 23170, 23170, 23170,-23170},
  {-23170,-23170, 23170,-23170, 23170,-23170, 23170, 23170, 23170,-23170,-23170,-23170},
  {-23170,-23170,-23170, 23170,-23170,-23170, 23170, 23170,-23170,-23170,-23170,-23170},
  {-23170,-23170, 23170,-23170,-23170,-23170,-23170,-23170,-23170, 23170, 23170,-23170},
  {-23170, 23170, 23170, 23170,-23170, 23170, 23170, 23170, 23170, 23170,-23170, 23170},
  {-23170,-23170,-23170, 23170,-23170,-23170,-23170, 23170,-23170, 23170, 23170,-23170},
  { 23170, 23170,-23170, 23170, 23170, 23170,-23170, 23170, 23170, 23170, 23170,-23170},
  { 23170,-23170,-23170, 23170,-23170,-23170,-23170, 23170, 23170, 23170, 23170,-23170},
  {-23170, 23170,-23170, 23170,-23170, 23170,-23170,-23170, 23170,-23170,-23170, 23170},
  {-23170, 23170, 23170,-23170,-23170, 23170,-23170,-23170, 23170,-23170, 23170,-23170},
  {-23170,-23170,-23170,-23170,-23170,-23170, 23170, 23170,-23170,-23170, 23170,-23170},
  {-23170, 23170,-23170, 23170, 23170,-23170,-23170,-23170, 23170, 23170, 23170,-23170},
  {-23170, 23170,-23170,-23170,-23170, 23170,-23170, 23170, 23170,-23170,-23170,-23170},
  {-23170, 23170, 23170, 23170,-23170,-23170,-23170, 23170, 23170,-23170, 23170,-23170},
  { 23170,-23170,-23170, 23170,-23170,-23170,-23170, 23170, 23170, 23170, 23170,-23170},
  {-23170, 23170,-23170, 23170, 23170,-23170,-23170, 23170, 23170,-23170, 23170,-23170},
  { 23170, 23170, 23170, 23170, 23170,-23170, 23170,-23170,-23170, 23170,-23170, 23170},
  { 23170, 23170, 23170, 23170, 23170,-23170,-23170, 23170, 23170,-23170, 23170,-23170},
  {-23170, 23170,-23170,-23170, 23170, 23170,-23170,-23170,-23170,-23170,-23170,-23170},
  {-23170,-23170,-23170,-23170, 23170,-23170,-23170,-23170, 23170,-23170, 23170,-23170},
  {-23170, 23170,-23170, 23170,-23170,-23170, 23170, 23170,-23170, 23170, 23170,-23170},
  {-23170,-23170, 23170,-23170,-23170, 23170, 23170, 23170, 23170,-23170,-23170,-23170},
  {-23170,-23170,-23170,-23170, 23170,-23170,-23170, 23170,-23170, 23170,-23170,-23170},
  {-23170, 23170,-23170,-23170,-23170, 23170,-23170,-23170,-23170,-23170, 23170,-23170},
  {-23170, 23170, 23170,-23170, 23170,-23170,-23170,-23170, 23170,-23170,-23170,-23170},
  {-23170,-23170, 23170, 23170,-23170,-23170,-23170, 23170, 23170, 23170, 23170, 23170},
  { 23170, 23170,-23170,-23170, 23170, 23170, 23170, 23170, 23170,-23170, 23170, 23170},
  {-23170,-23170,-23170,-23170,-23170,-23170, 23170, 23170,-23170,-23170, 23170,-23170},
  { 23170, 23170,-23170, 23170, 23170, 23170, 23170, 23170, 23170,-23170,-23170, 23170},
  {-23170,-23170,-23170,-23170,-23170,-23170,-23170, 23170, 23170, 23170,-23170,-23170}
  };
  int16_t table_5_2_2_2_2_Im[30][12]={  // Table 5.2.2.2-2 (Im part) TS 38.211 Subclause 5.2.2.2 Base sequences of length less than 36 (M_ZC=12)
  {-23170, 23170,-23170,-23170,-23170, 23170,-23170,-23170, 23170, 23170, 23170,-23170},
  {-23170, 23170, 23170,-23170, 23170, 23170,-23170,-23170, 23170, 23170, 23170, 23170},
  {-23170, 23170, 23170, 23170,-23170, 23170,-23170, 23170, 23170,-23170, 23170,-23170},
  {-23170,-23170,-23170, 23170, 23170, 23170,-23170, 23170,-23170, 23170,-23170,-23170},
  {-23170,-23170,-23170, 23170, 23170, 23170, 23170,-23170, 23170,-23170,-23170, 23170},
  {-23170,-23170, 23170, 23170,-23170,-23170,-23170,-23170, 23170,-23170, 23170, 23170},
  { 23170,-23170, 23170,-23170,-23170,-23170,-23170,-23170, 23170, 23170, 23170,-23170},
  {-23170,-23170, 23170,-23170,-23170,-23170,-23170,-23170, 23170,-23170, 23170,-23170},
  {-23170,-23170, 23170, 23170,-23170,-23170,-23170, 23170, 23170, 23170, 23170, 23170},
  {-23170,-23170,-23170,-23170,-23170,-23170,-23170, 23170, 23170, 23170,-23170,-23170},
  {-23170, 23170,-23170, 23170, 23170,-23170,-23170,-23170, 23170, 23170, 23170,-23170},
  {-23170,-23170,-23170,-23170,-23170,-23170, 23170, 23170,-23170,-23170, 23170,-23170},
  {-23170,-23170, 23170,-23170,-23170,-23170,-23170, 23170,-23170,-23170, 23170, 23170},
  {-23170, 23170,-23170,-23170, 23170, 23170,-23170,-23170,-23170,-23170,-23170,-23170},
  { 23170, 23170,-23170, 23170, 23170, 23170, 23170, 23170,-23170, 23170,-23170, 23170},
  {-23170, 23170, 23170,-23170,-23170,-23170,-23170,-23170,-23170, 23170, 23170,-23170},
  {-23170,-23170,-23170,-23170, 23170,-23170,-23170, 23170, 23170,-23170,-23170, 23170},
  {-23170, 23170, 23170,-23170, 23170, 23170, 23170,-23170,-23170,-23170, 23170,-23170},
  {-23170, 23170, 23170, 23170,-23170,-23170,-23170, 23170, 23170,-23170, 23170,-23170},
  {-23170,-23170, 23170,-23170,-23170, 23170, 23170, 23170,-23170,-23170, 23170,-23170},
  { 23170, 23170, 23170, 23170, 23170,-23170,-23170, 23170, 23170, 23170,-23170,-23170},
  {-23170, 23170, 23170, 23170,-23170, 23170, 23170, 23170, 23170, 23170,-23170, 23170},
  {-23170, 23170, 23170, 23170,-23170,-23170,-23170,-23170,-23170, 23170, 23170,-23170},
  { 23170,-23170,-23170, 23170,-23170,-23170, 23170, 23170, 23170,-23170,-23170,-23170},
  {-23170,-23170, 23170,-23170, 23170, 23170, 23170, 23170,-23170,-23170, 23170, 23170},
  {-23170, 23170, 23170,-23170, 23170, 23170,-23170, 23170,-23170, 23170,-23170, 23170},
  {-23170, 23170, 23170,-23170, 23170,-23170, 23170,-23170,-23170,-23170, 23170,-23170},
  {-23170,-23170, 23170, 23170, 23170,-23170,-23170, 23170,-23170, 23170, 23170,-23170},
  { 23170,-23170, 23170, 23170, 23170,-23170,-23170,-23170, 23170, 23170,-23170, 23170},
  {-23170, 23170,-23170, 23170,-23170,-23170, 23170,-23170,-23170, 23170, 23170,-23170}
  };
  int16_t table_5_2_2_2_3_Re[30][18]={ // Table 5.2.2.2-3 (Re part) TS 38.211 Subclause 5.2.2.2 Base sequences of length less than 36 (M_ZC=18)
  { 23170,-23170, 23170,-23170,-23170, 23170,-23170, 23170,-23170,-23170, 23170, 23170, 23170, 23170, 23170, 23170, 23170, 23170},
  {-23170,-23170,-23170, 23170, 23170,-23170,-23170, 23170,-23170,-23170, 23170,-23170,-23170, 23170, 23170,-23170,-23170,-23170},
  {-23170,-23170, 23170, 23170, 23170,-23170,-23170, 23170, 23170, 23170, 23170, 23170, 23170, 23170,-23170, 23170,-23170, 23170},
  {-23170,-23170,-23170,-23170,-23170, 23170,-23170, 23170,-23170,-23170, 23170,-23170,-23170,-23170, 23170,-23170, 23170, 23170},
  { 23170, 23170, 23170, 23170,-23170, 23170, 23170,-23170,-23170,-23170, 23170,-23170, 23170, 23170, 23170, 23170,-23170, 23170},
  {-23170,-23170, 23170, 23170,-23170, 23170, 23170, 23170, 23170,-23170, 23170, 23170, 23170,-23170,-23170,-23170,-23170, 23170},
  {-23170,-23170, 23170, 23170,-23170, 23170,-23170, 23170, 23170, 23170,-23170, 23170,-23170,-23170, 23170,-23170,-23170,-23170},
  { 23170, 23170,-23170,-23170,-23170, 23170,-23170,-23170,-23170, 23170, 23170, 23170, 23170, 23170,-23170,-23170, 23170,-23170},
  {-23170, 23170,-23170,-23170, 23170,-23170,-23170,-23170, 23170,-23170, 23170,-23170,-23170,-23170, 23170, 23170, 23170,-23170},
  {-23170, 23170,-23170, 23170,-23170,-23170, 23170, 23170,-23170,-23170,-23170,-23170,-23170, 23170,-23170,-23170,-23170,-23170},
  {-23170,-23170,-23170, 23170,-23170,-23170, 23170, 23170,-23170,-23170,-23170, 23170,-23170, 23170,-23170,-23170,-23170,-23170},
  {-23170,-23170,-23170,-23170,-23170, 23170, 23170,-23170, 23170, 23170, 23170,-23170, 23170,-23170,-23170, 23170,-23170, 23170},
  {-23170, 23170,-23170,-23170, 23170, 23170, 23170,-23170, 23170,-23170, 23170, 23170,-23170,-23170, 23170,-23170, 23170,-23170},
  { 23170, 23170,-23170,-23170,-23170,-23170, 23170,-23170,-23170,-23170,-23170, 23170,-23170, 23170,-23170, 23170,-23170, 23170},
  {-23170,-23170, 23170,-23170, 23170,-23170, 23170, 23170,-23170,-23170, 23170, 23170,-23170,-23170, 23170,-23170, 23170, 23170},
  {-23170, 23170,-23170, 23170,-23170,-23170,-23170, 23170,-23170,-23170, 23170,-23170,-23170,-23170,-23170, 23170, 23170,-23170},
  {-23170, 23170,-23170, 23170,-23170, 23170,-23170,-23170, 23170,-23170,-23170,-23170, 23170, 23170,-23170,-23170, 23170,-23170},
  {-23170, 23170,-23170,-23170, 23170,-23170, 23170,-23170, 23170, 23170, 23170,-23170, 23170, 23170, 23170,-23170,-23170, 23170},
  {-23170, 23170,-23170, 23170, 23170,-23170, 23170,-23170,-23170,-23170, 23170,-23170,-23170, 23170, 23170, 23170, 23170, 23170},
  {-23170,-23170,-23170,-23170, 23170,-23170, 23170,-23170, 23170, 23170, 23170,-23170, 23170,-23170,-23170, 23170,-23170,-23170},
  {-23170, 23170, 23170,-23170, 23170, 23170,-23170,-23170, 23170,-23170, 23170,-23170,-23170,-23170, 23170, 23170, 23170,-23170},
  { 23170,-23170, 23170,-23170,-23170,-23170, 23170,-23170, 23170,-23170,-23170, 23170,-23170, 23170, 23170,-23170,-23170,-23170},
  {-23170,-23170, 23170, 23170, 23170, 23170, 23170,-23170, 23170,-23170,-23170,-23170,-23170, 23170,-23170, 23170,-23170, 23170},
  {-23170, 23170,-23170, 23170,-23170,-23170,-23170,-23170,-23170, 23170, 23170,-23170, 23170,-23170, 23170, 23170,-23170,-23170},
  {-23170, 23170, 23170, 23170,-23170, 23170,-23170, 23170,-23170,-23170, 23170,-23170, 23170, 23170, 23170,-23170,-23170,-23170},
  {-23170,-23170, 23170,-23170,-23170,-23170,-23170, 23170,-23170, 23170, 23170,-23170,-23170,-23170,-23170,-23170, 23170, 23170},
  {-23170, 23170, 23170,-23170, 23170,-23170,-23170, 23170, 23170,-23170,-23170,-23170,-23170, 23170,-23170, 23170, 23170, 23170},
  {-23170,-23170,-23170,-23170,-23170, 23170,-23170, 23170,-23170, 23170, 23170,-23170,-23170,-23170, 23170, 23170, 23170,-23170},
  { 23170,-23170, 23170,-23170,-23170,-23170, 23170, 23170,-23170,-23170,-23170,-23170,-23170,-23170, 23170,-23170,-23170, 23170},
  {-23170,-23170, 23170, 23170, 23170, 23170, 23170, 23170, 23170,-23170,-23170,-23170, 23170, 23170,-23170, 23170,-23170, 23170}
  };
  int16_t table_5_2_2_2_3_Im[30][18]={ // Table 5.2.2.2-3 (Im part) TS 38.211 Subclause 5.2.2.2 Base sequences of length less than 36 (M_ZC=18)
  {-23170, 23170,-23170,-23170, 23170, 23170,-23170,-23170, 23170,-23170,-23170,-23170, 23170, 23170, 23170,-23170,-23170,-23170},
  { 23170,-23170, 23170,-23170, 23170, 23170,-23170,-23170,-23170,-23170,-23170,-23170, 23170, 23170,-23170, 23170,-23170, 23170},
  {-23170, 23170, 23170,-23170,-23170, 23170,-23170,-23170, 23170, 23170, 23170, 23170, 23170,-23170, 23170,-23170,-23170,-23170},
  {-23170,-23170, 23170, 23170, 23170, 23170,-23170, 23170, 23170, 23170, 23170,-23170,-23170, 23170,-23170,-23170,-23170, 23170},
  { 23170, 23170,-23170,-23170,-23170,-23170, 23170,-23170,-23170,-23170, 23170,-23170,-23170,-23170, 23170,-23170, 23170, 23170},
  { 23170,-23170, 23170, 23170, 23170,-23170, 23170,-23170,-23170,-23170, 23170, 23170,-23170, 23170, 23170,-23170, 23170,-23170},
  {-23170, 23170,-23170, 23170, 23170, 23170,-23170,-23170, 23170, 23170,-23170, 23170, 23170, 23170,-23170,-23170,-23170,-23170},
  { 23170, 23170,-23170, 23170, 23170, 23170, 23170,-23170, 23170,-23170, 23170, 23170,-23170, 23170,-23170,-23170,-23170, 23170},
  {-23170, 23170,-23170,-23170, 23170,-23170,-23170, 23170, 23170,-23170,-23170,-23170,-23170,-23170,-23170, 23170, 23170, 23170},
  { 23170,-23170, 23170, 23170,-23170,-23170,-23170, 23170,-23170,-23170, 23170, 23170, 23170, 23170, 23170,-23170, 23170,-23170},
  {-23170,-23170,-23170, 23170,-23170, 23170, 23170, 23170, 23170,-23170,-23170, 23170, 23170,-23170, 23170,-23170,-23170, 23170},
  {-23170,-23170, 23170, 23170, 23170,-23170,-23170,-23170,-23170,-23170,-23170, 23170, 23170,-23170,-23170,-23170, 23170,-23170},
  {-23170,-23170,-23170,-23170, 23170, 23170,-23170,-23170,-23170,-23170,-23170,-23170, 23170, 23170,-23170, 23170, 23170, 23170},
  { 23170, 23170,-23170,-23170,-23170,-23170, 23170, 23170,-23170, 23170, 23170, 23170,-23170,-23170, 23170,-23170,-23170, 23170},
  {-23170, 23170,-23170,-23170,-23170,-23170, 23170, 23170,-23170,-23170,-23170,-23170, 23170,-23170, 23170, 23170, 23170, 23170},
  { 23170, 23170,-23170, 23170,-23170, 23170, 23170,-23170,-23170,-23170,-23170,-23170,-23170, 23170,-23170,-23170, 23170, 23170},
  {-23170,-23170,-23170,-23170,-23170, 23170, 23170,-23170,-23170, 23170, 23170, 23170, 23170,-23170,-23170, 23170,-23170,-23170},
  {-23170,-23170, 23170, 23170,-23170, 23170,-23170,-23170,-23170, 23170,-23170,-23170,-23170,-23170,-23170, 23170, 23170, 23170},
  {-23170, 23170,-23170,-23170,-23170, 23170, 23170,-23170,-23170,-23170,-23170,-23170,-23170, 23170, 23170, 23170,-23170,-23170},
  { 23170, 23170, 23170,-23170,-23170,-23170,-23170, 23170,-23170, 23170,-23170,-23170, 23170,-23170,-23170,-23170, 23170, 23170},
  {-23170, 23170, 23170,-23170, 23170, 23170, 23170,-23170,-23170,-23170,-23170, 23170,-23170, 23170,-23170,-23170,-23170,-23170},
  { 23170,-23170,-23170,-23170, 23170, 23170,-23170,-23170, 23170,-23170,-23170,-23170,-23170,-23170, 23170, 23170, 23170, 23170},
  {-23170,-23170, 23170,-23170,-23170, 23170, 23170,-23170,-23170, 23170, 23170, 23170, 23170,-23170, 23170, 23170, 23170, 23170},
  { 23170,-23170,-23170, 23170,-23170,-23170,-23170, 23170, 23170,-23170, 23170,-23170,-23170, 23170, 23170, 23170, 23170, 23170},
  { 23170,-23170,-23170, 23170,-23170,-23170,-23170,-23170,-23170,-23170,-23170,-23170, 23170, 23170, 23170,-23170,-23170, 23170},
  {-23170,-23170, 23170,-23170, 23170, 23170, 23170,-23170, 23170, 23170, 23170,-23170,-23170,-23170, 23170,-23170,-23170,-23170},
  {-23170,-23170,-23170,-23170, 23170,-23170, 23170,-23170,-23170,-23170, 23170, 23170,-23170,-23170, 23170,-23170,-23170,-23170},
  {-23170,-23170, 23170, 23170,-23170, 23170, 23170,-23170,-23170, 23170,-23170,-23170, 23170,-23170,-23170,-23170,-23170, 23170},
  {-23170,-23170, 23170,-23170,-23170,-23170, 23170, 23170, 23170, 23170,-23170, 23170, 23170,-23170,-23170, 23170,-23170, 23170},
  {-23170, 23170, 23170,-23170,-23170,-23170,-23170, 23170,-23170, 23170, 23170,-23170,-23170, 23170, 23170,-23170, 23170,-23170}
  };
  int16_t table_5_2_2_2_4_Re[30][24]={ // Table 5.2.2.2-4 (Re part) TS 38.211 Subclause 5.2.2.2 Base sequences of length less than 36 (M_ZC=24)
  { 23170,-23170,-23170, 23170,-23170, 23170,-23170, 23170, 23170,-23170, 23170,-23170, 23170, 23170,-23170,-23170, 23170,-23170,-23170,-23170,-23170,-23170,-23170,-23170},
  { 23170,-23170,-23170, 23170, 23170,-23170, 23170,-23170,-23170, 23170,-23170, 23170, 23170,-23170,-23170,-23170,-23170,-23170,-23170, 23170,-23170,-23170,-23170,-23170},
  { 23170,-23170,-23170, 23170, 23170, 23170,-23170, 23170,-23170, 23170,-23170, 23170, 23170,-23170, 23170, 23170,-23170, 23170,-23170, 23170, 23170,-23170,-23170,-23170},
  { 23170,-23170,-23170, 23170,-23170, 23170,-23170,-23170, 23170, 23170, 23170, 23170,-23170,-23170, 23170,-23170,-23170,-23170, 23170,-23170,-23170, 23170,-23170,-23170},
  { 23170,-23170,-23170,-23170, 23170,-23170, 23170, 23170, 23170,-23170, 23170,-23170, 23170, 23170,-23170, 23170,-23170, 23170, 23170,-23170, 23170, 23170,-23170,-23170},
  {-23170, 23170, 23170,-23170,-23170, 23170, 23170,-23170,-23170, 23170, 23170,-23170, 23170,-23170, 23170, 23170,-23170, 23170,-23170, 23170,-23170,-23170,-23170,-23170},
  {-23170,-23170, 23170,-23170, 23170, 23170,-23170, 23170,-23170, 23170, 23170,-23170, 23170,-23170,-23170,-23170,-23170, 23170, 23170, 23170, 23170, 23170,-23170,-23170},
  {-23170, 23170,-23170, 23170, 23170, 23170,-23170,-23170,-23170, 23170,-23170, 23170,-23170,-23170, 23170, 23170, 23170,-23170, 23170, 23170,-23170,-23170,-23170,-23170},
  {-23170, 23170,-23170,-23170, 23170, 23170, 23170,-23170,-23170, 23170, 23170,-23170, 23170, 23170,-23170, 23170, 23170, 23170, 23170,-23170,-23170,-23170,-23170,-23170},
  { 23170, 23170, 23170,-23170, 23170, 23170, 23170,-23170, 23170, 23170, 23170,-23170,-23170,-23170,-23170,-23170, 23170,-23170, 23170,-23170,-23170, 23170,-23170,-23170},
  {-23170,-23170,-23170, 23170,-23170,-23170,-23170, 23170,-23170, 23170,-23170, 23170, 23170,-23170, 23170, 23170,-23170, 23170, 23170,-23170,-23170, 23170,-23170,-23170},
  {-23170,-23170, 23170,-23170, 23170, 23170, 23170, 23170,-23170,-23170, 23170, 23170, 23170,-23170,-23170, 23170,-23170,-23170, 23170, 23170,-23170, 23170,-23170,-23170},
  {-23170,-23170,-23170, 23170,-23170, 23170,-23170, 23170, 23170, 23170,-23170, 23170,-23170,-23170,-23170, 23170, 23170,-23170,-23170,-23170,-23170,-23170,-23170,-23170},
  {-23170,-23170, 23170,-23170, 23170,-23170,-23170, 23170, 23170,-23170, 23170,-23170,-23170,-23170,-23170,-23170, 23170, 23170,-23170,-23170, 23170, 23170,-23170,-23170},
  {-23170, 23170,-23170, 23170, 23170,-23170, 23170,-23170,-23170, 23170, 23170,-23170,-23170, 23170,-23170,-23170,-23170, 23170, 23170,-23170,-23170,-23170,-23170,-23170},
  {-23170, 23170, 23170,-23170, 23170,-23170,-23170, 23170, 23170,-23170, 23170, 23170, 23170,-23170, 23170,-23170, 23170,-23170, 23170, 23170, 23170, 23170,-23170,-23170},
  {-23170,-23170, 23170, 23170,-23170,-23170,-23170, 23170, 23170, 23170, 23170, 23170, 23170, 23170, 23170,-23170,-23170, 23170,-23170, 23170, 23170, 23170, 23170,-23170},
  {-23170, 23170,-23170, 23170, 23170,-23170, 23170, 23170,-23170,-23170,-23170,-23170, 23170, 23170, 23170, 23170, 23170,-23170,-23170, 23170, 23170, 23170,-23170,-23170},
  {-23170, 23170,-23170, 23170,-23170,-23170, 23170,-23170, 23170,-23170,-23170,-23170,-23170,-23170, 23170,-23170,-23170, 23170, 23170,-23170, 23170, 23170,-23170,-23170},
  {-23170,-23170,-23170,-23170, 23170, 23170, 23170, 23170, 23170,-23170, 23170, 23170, 23170,-23170,-23170, 23170,-23170, 23170, 23170, 23170,-23170,-23170, 23170,-23170},
  {-23170,-23170, 23170, 23170, 23170,-23170, 23170, 23170,-23170, 23170,-23170,-23170, 23170,-23170,-23170,-23170,-23170,-23170, 23170, 23170, 23170, 23170,-23170,-23170},
  {-23170, 23170, 23170, 23170,-23170,-23170, 23170, 23170,-23170, 23170,-23170,-23170, 23170,-23170,-23170, 23170, 23170, 23170, 23170, 23170,-23170,-23170,-23170,-23170},
  {-23170, 23170,-23170,-23170,-23170, 23170,-23170,-23170, 23170, 23170,-23170, 23170,-23170,-23170,-23170,-23170, 23170,-23170, 23170, 23170,-23170,-23170,-23170,-23170},
  {-23170, 23170, 23170,-23170, 23170, 23170, 23170, 23170, 23170,-23170,-23170, 23170, 23170, 23170, 23170, 23170, 23170,-23170,-23170,-23170,-23170, 23170, 23170,-23170},
  {-23170,-23170, 23170,-23170, 23170, 23170, 23170,-23170, 23170, 23170,-23170,-23170, 23170,-23170,-23170,-23170,-23170, 23170,-23170, 23170, 23170, 23170,-23170,-23170},
  {-23170, 23170, 23170,-23170,-23170, 23170, 23170,-23170, 23170,-23170, 23170, 23170, 23170, 23170, 23170,-23170,-23170,-23170, 23170, 23170, 23170, 23170, 23170,-23170},
  { 23170,-23170, 23170, 23170,-23170,-23170, 23170, 23170, 23170,-23170, 23170,-23170, 23170,-23170, 23170, 23170,-23170,-23170,-23170, 23170,-23170, 23170,-23170,-23170},
  {-23170,-23170,-23170, 23170,-23170,-23170,-23170, 23170,-23170, 23170, 23170, 23170,-23170, 23170,-23170,-23170, 23170,-23170, 23170,-23170, 23170, 23170,-23170,-23170},
  {-23170, 23170,-23170, 23170,-23170, 23170, 23170,-23170, 23170,-23170,-23170, 23170, 23170,-23170, 23170,-23170,-23170, 23170, 23170,-23170,-23170,-23170,-23170,-23170},
  {-23170,-23170, 23170, 23170,-23170, 23170, 23170,-23170, 23170,-23170, 23170,-23170, 23170,-23170,-23170, 23170,-23170, 23170, 23170,-23170,-23170,-23170,-23170,-23170}
  };
  int16_t table_5_2_2_2_4_Im[30][24]={ // Table 5.2.2.2-4 (Im part) TS 38.211 Subclause 5.2.2.2 Base sequences of length less than 36 (M_ZC=24)
  {-23170,-23170, 23170,-23170, 23170, 23170, 23170,-23170, 23170,-23170,-23170,-23170,-23170, 23170, 23170,-23170,-23170,-23170, 23170, 23170, 23170,-23170,-23170,-23170},
  {-23170,-23170, 23170, 23170, 23170,-23170, 23170,-23170,-23170, 23170,-23170,-23170,-23170, 23170,-23170, 23170, 23170, 23170,-23170, 23170, 23170, 23170,-23170,-23170},
  {-23170,-23170,-23170, 23170,-23170,-23170,-23170, 23170, 23170,-23170,-23170,-23170,-23170,-23170, 23170, 23170, 23170, 23170,-23170,-23170,-23170, 23170,-23170,-23170},
  { 23170,-23170, 23170,-23170,-23170,-23170, 23170, 23170, 23170,-23170, 23170, 23170, 23170,-23170,-23170,-23170,-23170,-23170,-23170, 23170,-23170,-23170,-23170,-23170},
  {-23170, 23170,-23170,-23170,-23170, 23170,-23170,-23170, 23170, 23170, 23170, 23170,-23170,-23170,-23170, 23170, 23170, 23170,-23170,-23170, 23170,-23170,-23170,-23170},
  {-23170,-23170, 23170,-23170,-23170, 23170, 23170,-23170, 23170,-23170,-23170,-23170, 23170, 23170, 23170,-23170,-23170,-23170,-23170, 23170,-23170,-23170,-23170,-23170},
  {-23170, 23170, 23170, 23170,-23170, 23170,-23170, 23170,-23170, 23170,-23170,-23170,-23170,-23170,-23170,-23170,-23170,-23170,-23170,-23170, 23170, 23170,-23170,-23170},
  {-23170, 23170, 23170,-23170, 23170,-23170, 23170,-23170, 23170,-23170,-23170,-23170,-23170, 23170,-23170,-23170,-23170,-23170,-23170,-23170,-23170, 23170, 23170,-23170},
  {-23170, 23170,-23170, 23170,-23170,-23170,-23170,-23170, 23170, 23170,-23170,-23170,-23170, 23170, 23170,-23170, 23170,-23170, 23170,-23170,-23170,-23170,-23170,-23170},
  { 23170, 23170,-23170,-23170,-23170, 23170, 23170,-23170, 23170,-23170, 23170,-23170, 23170,-23170,-23170, 23170,-23170,-23170, 23170, 23170,-23170, 23170,-23170,-23170},
  {-23170,-23170,-23170,-23170, 23170,-23170, 23170, 23170, 23170, 23170,-23170,-23170,-23170,-23170, 23170, 23170, 23170, 23170,-23170,-23170, 23170, 23170, 23170,-23170},
  {-23170, 23170,-23170, 23170, 23170,-23170,-23170,-23170, 23170, 23170, 23170, 23170, 23170, 23170, 23170, 23170,-23170,-23170,-23170, 23170,-23170, 23170, 23170,-23170},
  { 23170,-23170, 23170,-23170,-23170, 23170, 23170, 23170,-23170,-23170,-23170,-23170, 23170,-23170, 23170,-23170,-23170, 23170, 23170,-23170,-23170, 23170,-23170,-23170},
  {-23170, 23170,-23170, 23170,-23170, 23170, 23170, 23170, 23170,-23170, 23170, 23170,-23170, 23170,-23170,-23170,-23170, 23170, 23170,-23170,-23170,-23170,-23170,-23170},
  {-23170, 23170,-23170,-23170,-23170, 23170, 23170, 23170,-23170, 23170,-23170, 23170, 23170,-23170,-23170, 23170,-23170,-23170,-23170,-23170,-23170,-23170, 23170,-23170},
  {-23170,-23170,-23170,-23170, 23170,-23170,-23170,-23170,-23170, 23170,-23170, 23170,-23170, 23170, 23170,-23170,-23170, 23170, 23170, 23170,-23170,-23170,-23170,-23170},
  {-23170,-23170, 23170,-23170, 23170, 23170,-23170,-23170, 23170,-23170,-23170, 23170, 23170,-23170,-23170, 23170,-23170, 23170,-23170, 23170,-23170,-23170,-23170,-23170},
  { 23170,-23170, 23170,-23170, 23170,-23170, 23170, 23170,-23170,-23170, 23170,-23170,-23170,-23170,-23170,-23170,-23170,-23170,-23170,-23170, 23170, 23170,-23170,-23170},
  {-23170, 23170,-23170, 23170,-23170,-23170, 23170,-23170, 23170,-23170,-23170,-23170,-23170,-23170, 23170,-23170,-23170, 23170, 23170,-23170, 23170, 23170,-23170,-23170},
  {-23170,-23170, 23170, 23170, 23170,-23170,-23170,-23170, 23170,-23170,-23170, 23170,-23170, 23170,-23170,-23170,-23170,-23170,-23170, 23170,-23170, 23170,-23170,-23170},
  {-23170,-23170,-23170,-23170,-23170,-23170, 23170,-23170,-23170,-23170, 23170,-23170, 23170,-23170, 23170,-23170, 23170, 23170, 23170,-23170,-23170, 23170,-23170,-23170},
  { 23170,-23170, 23170,-23170, 23170,-23170, 23170, 23170, 23170,-23170,-23170, 23170, 23170,-23170, 23170,-23170,-23170,-23170,-23170, 23170,-23170,-23170,-23170,-23170},
  {-23170, 23170,-23170, 23170,-23170, 23170,-23170, 23170, 23170,-23170,-23170,-23170,-23170,-23170,-23170,-23170, 23170, 23170,-23170, 23170, 23170, 23170, 23170,-23170},
  {-23170,-23170, 23170,-23170,-23170,-23170, 23170, 23170, 23170, 23170, 23170,-23170, 23170,-23170, 23170,-23170,-23170,-23170,-23170,-23170, 23170, 23170,-23170,-23170},
  {-23170, 23170,-23170,-23170,-23170,-23170,-23170, 23170,-23170,-23170, 23170,-23170,-23170, 23170,-23170, 23170,-23170,-23170, 23170, 23170, 23170,-23170,-23170,-23170},
  {-23170, 23170,-23170,-23170,-23170,-23170, 23170,-23170,-23170,-23170, 23170, 23170,-23170, 23170, 23170, 23170, 23170, 23170,-23170, 23170,-23170, 23170,-23170,-23170},
  {-23170, 23170,-23170,-23170, 23170, 23170,-23170,-23170,-23170, 23170,-23170,-23170, 23170, 23170, 23170, 23170,-23170,-23170,-23170,-23170,-23170,-23170,-23170,-23170},
  { 23170,-23170,-23170,-23170, 23170, 23170,-23170,-23170, 23170, 23170, 23170, 23170, 23170,-23170, 23170,-23170,-23170, 23170,-23170, 23170, 23170,-23170,-23170,-23170},
  {-23170, 23170,-23170, 23170,-23170, 23170, 23170, 23170, 23170,-23170,-23170,-23170, 23170, 23170,-23170,-23170, 23170, 23170,-23170,-23170,-23170,-23170,-23170,-23170},
  { 23170,-23170,-23170, 23170, 23170,-23170,-23170,-23170,-23170, 23170,-23170,-23170,-23170,-23170, 23170,-23170, 23170, 23170, 23170,-23170, 23170,-23170,-23170,-23170}
  };

  /*
   * The following tables implement TS 38.211 table 6.3.2.4.1-1: Number of PUCCH symbols and the corresponding N_SF_mprime_PUCCH_1
   * One table for no intra-slot hopping
   * Two tables for intra-slot hopping (mprime=0 and mprime=1)
   */
    uint8_t table_6_3_2_4_1_1_N_SF_mprime_PUCCH_1_noHop[14] = {0,0,0,2,2,3,3,4,4,5,5,6,6,7}; // for index PUCCH-length, we obtain N_SF_mprime_PUCCH_1 when no intra-slot hopping
    uint8_t table_6_3_2_4_1_1_N_SF_mprime_PUCCH_1_m0Hop[14] = {0,0,0,1,1,1,1,2,2,2,2,3,3,3}; // for index PUCCH-length, we obtain N_SF_mprime_PUCCH_1 when intra-slot hopping and mprime=0
    uint8_t table_6_3_2_4_1_1_N_SF_mprime_PUCCH_1_m1Hop[14] = {0,0,0,1,1,2,2,2,2,3,3,3,3,4}; // for index PUCCH-length, we obtain N_SF_mprime_PUCCH_1 when intra-slot hopping and mprime=1
  /*
   * The following tables implement TS 38.211 table 6.4.1.3.1.1-1: Number of DM-RS symbols and the corresponding N_SF_mprime_PUCCH_1
   * One table for no intra-slot hopping
   * Two tables for intra-slot hopping (mprime=0 and mprime=1)
   */
    uint8_t table_6_4_1_3_1_1_1_N_SF_mprime_PUCCH_1_noHop[14] = {0,0,0,2,3,3,4,4,5,5,6,6,7,7}; // for index PUCCH-DM-RS-length, we obtain N_SF_mprime_PUCCH_1 when no intra-slot hopping
    uint8_t table_6_4_1_3_1_1_1_N_SF_mprime_PUCCH_1_m0Hop[14] = {0,0,0,1,1,2,2,2,2,3,3,3,3,4}; // for index PUCCH-DM-RS-length, we obtain N_SF_mprime_PUCCH_1 when intra-slot hopping and mprime=0
    uint8_t table_6_4_1_3_1_1_1_N_SF_mprime_PUCCH_1_m1Hop[14] = {0,0,0,1,2,1,2,2,3,2,3,3,4,3}; // for index PUCCH-DM-RS-length, we obtain N_SF_mprime_PUCCH_1 when intra-slot hopping and mprime=1
  /* The following tables implement TS 38.211 table 6.3.2.4.1-2: Orthogonal sequences wi(m)=exp(j*2*pi*phi(m)/N_SF) for PUCCH format 1
    uint16_t table_6_3_2_4_1_2_W2[2][2] = {{0,0},          {0,1}};
    uint16_t table_6_3_2_4_1_2_W3[3][3] = {{0,0,0},        {0,1,2},        {0,2,1}};
    uint16_t table_6_3_2_4_1_2_W4[4][4] = {{0,0,0,0},      {0,2,0,2},      {0,0,2,2} ,     {0,2,2,0}};
    uint16_t table_6_3_2_4_1_2_W5[2][2] = {{0,0,0,0,0},    {0,1,2,3,4},    {0,2,4,1,3},    {0,3,1,4,2},    {0,4,3,2,1}};
    uint16_t table_6_3_2_4_1_2_W6[2][2] = {{0,0,0,0,0,0},  {0,1,2,3,4,5},  {0,2,4,0,2,4},  {0,3,0,3,0,3},  {0,4,2,0,4,2},  {0,5,4,3,2,1}};
    uint16_t table_6_3_2_4_1_2_W7[2][2] = {{0,0,0,0,0,0,0},{0,1,2,3,4,5,6},{0,2,4,6,1,3,5},{0,3,6,2,5,1,4},{0,4,1,5,2,6,3},{0,5,3,1,6,4,2},{0,6,5,4,3,2,1}};
   */
    int16_t table_6_3_2_4_1_2_Wi_Re[8][7][7] = {
    {{0,0,0,0,0,0,0},                            {0,0,0,0,0,0,0},                              {0,0,0,0,0,0,0},                              {0,0,0,0,0,0,0},                              {0,0,0,0,0,0,0},                              {0,0,0,0,0,0,0},                              {0,0,0,0,0,0,0}},
402
    {{32767,0,0,0,0,0,0},                        {0,0,0,0,0,0,0},                              {0,0,0,0,0,0,0},                              {0,0,0,0,0,0,0},                              {0,0,0,0,0,0,0},                              {0,0,0,0,0,0,0},                              {0,0,0,0,0,0,0}},
403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425
    {{32767,32767,0,0,0,0,0},                    {32767,-32767,0,0,0,0,0},                     {0,0,0,0,0,0,0},                              {0,0,0,0,0,0,0},                              {0,0,0,0,0,0,0},                              {0,0,0,0,0,0,0},                              {0,0,0,0,0,0,0}},
    {{32767,32767,32767,0,0,0,0},                {32767,-16384,-16384,0,0,0,0},                {32767,-16384,-16384,0,0,0,0},                {0,0,0,0,0,0,0},                              {0,0,0,0,0,0,0},                              {0,0,0,0,0,0,0},                              {0,0,0,0,0,0,0}},
    {{32767,32767,32767,32767,0,0,0},            {32767,-32767,32767,-32767,0,0,0},            {32767,32767,-32767,-32767,0,0,0},            {32767,-32767,-32767,32767,0,0,0},            {0,0,0,0,0,0,0},                              {0,0,0,0,0,0,0},                              {0,0,0,0,0,0,0}},
    {{32767,32767,32767,32767,32767,0,0},        {32767,10126,-26509,-26509,10126,0,0},        {32767,-26509,10126,10126,-26509,0,0},        {32767,-26509,10126,10126,-26509,0,0},        {32767,10126,-26509,-26509,10126,0,0},        {0,0,0,0,0,0,0},                              {0,0,0,0,0,0,0}},
    {{32767,32767,32767,32767,32767,32767,0},    {32767,16384,-16384,-32767,-16384,16384,0},   {32767,-16384,-16384,32767,-16384,-16384,0},  {32767,-32767,32767,-32767,32767,-32767,0},   {32767,-16384,-16384,32767,-16384,-16384,0},  {32767,16384,-16384,-32767,-16384,16384,0},   {0,0,0,0,0,0,0}},
    {{32767,32767,32767,32767,32767,32767,32767},{32767,20430,-7291,-29522,-29522,-7291,20430},{32767,-7291,-29522,20430,20430,-29522,-7291},{32767,-29522,20430,-7291,-7291,20430,-29522},{32767,-29522,20430,-7291,-7291,20430,-29522},{32767,-7291,-29522,20430,20430,-29522,-7291},{32767,20430,-7291,-29522,-29522,-7291,20430}}
    };
    int16_t table_6_3_2_4_1_2_Wi_Im[8][7][7] = {
    {{0,0,0,0,0,0,0},{0,0,0,0,0,0,0},                           {0,0,0,0,0,0,0},                           {0,0,0,0,0,0,0},                           {0,0,0,0,0,0,0},                           {0,0,0,0,0,0,0},                           {0,0,0,0,0,0,0}},
    {{0,0,0,0,0,0,0},{0,0,0,0,0,0,0},                           {0,0,0,0,0,0,0},                           {0,0,0,0,0,0,0},                           {0,0,0,0,0,0,0},                           {0,0,0,0,0,0,0},                           {0,0,0,0,0,0,0}},
    {{0,0,0,0,0,0,0},{0,0,0,0,0,0,0},                           {0,0,0,0,0,0,0},                           {0,0,0,0,0,0,0},                           {0,0,0,0,0,0,0},                           {0,0,0,0,0,0,0},                           {0,0,0,0,0,0,0}},
    {{0,0,0,0,0,0,0},{0,28377,-28377,0,0,0,0},                  {0,-28377,28377,0,0,0,0},                  {0,0,0,0,0,0,0},                           {0,0,0,0,0,0,0},                           {0,0,0,0,0,0,0},                           {0,0,0,0,0,0,0}},
    {{0,0,0,0,0,0,0},{0,0,0,0,0,0,0},                           {0,0,0,0,0,0,0},                           {0,0,0,0,0,0,0},                           {0,0,0,0,0,0,0},                           {0,0,0,0,0,0,0},                           {0,0,0,0,0,0,0}},
    {{0,0,0,0,0,0,0},{0,31163,19260,-19260,-31163,0,0},         {0,19260,-31163,31163,-19260,0,0},         {0,-19260,31163,-31163,19260,0,0},         {0,-31163,-19260,19260,31163,0,0},         {0,0,0,0,0,0,0},                           {0,0,0,0,0,0,0}},
    {{0,0,0,0,0,0,0},{0,28377,28377,0,-28377,-28377,0},         {0,28377,-28377,0,28377,-28377,0},         {0,0,0,0,0,0,0},                           {0,-28377,28377,0,-28377,28377,0},         {0,-28377,-28377,0,28377,28377,0},         {0,0,0,0,0,0,0}},
    {{0,0,0,0,0,0,0},{0,25618,31945,14217,-14217,-31945,-25618},{0,31945,-14217,-25618,25618,14217,-31945},{0,14217,-25618,31945,-31945,25618,-14217},{0,-14217,25618,-31945,31945,-25618,14217},{0,-31945,14217,25618,-25618,-14217,31945},{0,-25618,-31945,-14217,14217,31945,25618}}
    };

    uint8_t list_of_prime_numbers[46] = {2,  3,  5,  7,  11, 13, 17, 19, 23, 29,
                                         31, 37, 41, 43, 47, 53, 59, 61, 67, 71,
                                         73, 79, 83, 89, 97, 101,103,107,109,113,
                                         127,131,137,139,149,151,157,163,167,173,
                                         179,181,191,193,197,199};