M17_spec/pages/04.appendix/06.interleaving/docs.md

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Interleaving
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For interleaving a Quadratic Permutation Polynomial (QPP) is used. The polynomial \pi(x)=(45x+92x^2)\mod 368 is used for a 368 bit interleaving pattern QPP.

Table 1 Interleaver mapping input index | output index | input index | output index | input index | output index | input index | output index ----------- | ------------ | ----------- | ------------ | ----------- | ------------ | ----------- | ------------ 0 | 0 | 92 | 92 | 184 | 184 | 276 | 276 1 | 137 | 93 | 229 | 185 | 321 | 277 | 45 2 | 90 | 94 | 182 | 186 | 274 | 278 | 366 3 | 227 | 95 | 319 | 187 | 43 | 279 | 135 4 | 180 | 96 | 272 | 188 | 364 | 280 | 88 5 | 317 | 97 | 41 | 189 | 133 | 281 | 225 6 | 270 | 98 | 362 | 190 | 86 | 282 | 178 7 | 39 | 99 | 131 | 191 | 223 | 283 | 315 8 | 360 | 100 | 84 | 192 | 176 | 284 | 268 9 | 129 | 101 | 221 | 193 | 313 | 285 | 37 10 | 82 | 102 | 174 | 194 | 266 | 286 | 358 11 | 219 | 103 | 311 | 195 | 35 | 287 | 127 12 | 172 | 104 | 264 | 196 | 356 | 288 | 80 13 | 309 | 105 | 33 | 197 | 125 | 289 | 217 14 | 262 | 106 | 354 | 198 | 78 | 290 | 170 15 | 31 | 107 | 123 | 199 | 215 | 291 | 307 16 | 352 | 108 | 76 | 200 | 168 | 292 | 260 17 | 121 | 109 | 213 | 201 | 305 | 293 | 29 18 | 74 | 110 | 166 | 202 | 258 | 294 | 350 19 | 211 | 111 | 303 | 203 | 27 | 295 | 119 20 | 164 | 112 | 256 | 204 | 348 | 296 | 72 21 | 301 | 113 | 25 | 205 | 117 | 297 | 209 22 | 254 | 114 | 346 | 206 | 70 | 298 | 162 23 | 23 | 115 | 115 | 207 | 207 | 299 | 299 24 | 344 | 116 | 68 | 208 | 160 | 300 | 252 25 | 113 | 117 | 205 | 209 | 297 | 301 | 21 26 | 66 | 118 | 158 | 210 | 250 | 302 | 342 27 | 203 | 119 | 295 | 211 | 19 | 303 | 111 28 | 156 | 120 | 248 | 212 | 340 | 304 | 64 29 | 293 | 121 | 17 | 213 | 109 | 305 | 201 30 | 246 | 122 | 338 | 214 | 62 | 306 | 154 31 | 15 | 123 | 107 | 215 | 199 | 307 | 291 32 | 336 | 124 | 60 | 216 | 152 | 308 | 244 33 | 105 | 125 | 197 | 217 | 289 | 309 | 13 34 | 58 | 126 | 150 | 218 | 242 | 310 | 334 35 | 195 | 127 | 287 | 219 | 11 | 311 | 103 36 | 148 | 128 | 240 | 220 | 332 | 312 | 56 37 | 285 | 129 | 9 | 221 | 101 | 313 | 193 38 | 238 | 130 | 330 | 222 | 54 | 314 | 146 39 | 7 | 131 | 99 | 223 | 191 | 315 | 283 40 | 328 | 132 | 52 | 224 | 144 | 316 | 236 41 | 97 | 133 | 189 | 225 | 281 | 317 | 5 42 | 50 | 134 | 142 | 226 | 234 | 318 | 326 43 | 187 | 135 | 279 | 227 | 3 | 319 | 95 44 | 140 | 136 | 232 | 228 | 324 | 320 | 48 45 | 277 | 137 | 1 | 229 | 93 | 321 | 185 46 | 230 | 138 | 322 | 230 | 46 | 322 | 138 47 | 367 | 139 | 91 | 231 | 183 | 323 | 275 48 | 320 | 140 | 44 | 232 | 136 | 324 | 228 49 | 89 | 141 | 181 | 233 | 273 | 325 | 365 50 | 42 | 142 | 134 | 234 | 226 | 326 | 318 51 | 179 | 143 | 271 | 235 | 363 | 327 | 87 52 | 132 | 144 | 224 | 236 | 316 | 328 | 40 53 | 269 | 145 | 361 | 237 | 85 | 329 | 177 54 | 222 | 146 | 314 | 238 | 38 | 330 | 130 55 | 359 | 147 | 83 | 239 | 175 | 331 | 267 56 | 312 | 148 | 36 | 240 | 128 | 332 | 220 57 | 81 | 149 | 173 | 241 | 265 | 333 | 357 58 | 34 | 150 | 126 | 242 | 218 | 334 | 310 59 | 171 | 151 | 263 | 243 | 355 | 335 | 79 60 | 124 | 152 | 216 | 244 | 308 | 336 | 32 61 | 261 | 153 | 353 | 245 | 77 | 337 | 169 62 | 214 | 154 | 306 | 246 | 30 | 338 | 122 63 | 351 | 155 | 75 | 247 | 167 | 339 | 259 64 | 304 | 156 | 28 | 248 | 120 | 340 | 212 65 | 73 | 157 | 165 | 249 | 257 | 341 | 349 66 | 26 | 158 | 118 | 250 | 210 | 342 | 302 67 | 163 | 159 | 255 | 251 | 347 | 343 | 71 68 | 116 | 160 | 208 | 252 | 300 | 344 | 24 69 | 253 | 161 | 345 | 253 | 69 | 345 | 161 70 | 206 | 162 | 298 | 254 | 22 | 346 | 114 71 | 343 | 163 | 67 | 255 | 159 | 347 | 251 72 | 296 | 164 | 20 | 256 | 112 | 348 | 204 73 | 65 | 165 | 157 | 257 | 249 | 349 | 341 74 | 18 | 166 | 110 | 258 | 202 | 350 | 294 75 | 155 | 167 | 247 | 259 | 339 | 351 | 63 76 | 108 | 168 | 200 | 260 | 292 | 352 | 16 77 | 245 | 169 | 337 | 261 | 61 | 353 | 153 78 | 198 | 170 | 290 | 262 | 14 | 354 | 106 79 | 335 | 171 | 59 | 263 | 151 | 355 | 243 80 | 288 | 172 | 12 | 264 | 104 | 356 | 196 81 | 57 | 173 | 149 | 265 | 241 | 357 | 333 82 | 10 | 174 | 102 | 266 | 194 | 358 | 286 83 | 147 | 175 | 239 | 267 | 331 | 359 | 55 84 | 100 | 176 | 192 | 268 | 284 | 360 | 8 85 | 237 | 177 | 329 | 269 | 53 | 361 | 145 86 | 190 | 178 | 282 | 270 | 6 | 362 | 98 87 | 327 | 179 | 51 | 271 | 143 | 363 | 235 88 | 280 | 180 | 4 | 272 | 96 | 364 | 188 89 | 49 | 181 | 141 | 273 | 233 | 365 | 325 90 | 2 | 182 | 94 | 274 | 186 | 366 | 278 91 | 139 | 183 | 231 | 275 | 323 | 367 | 47

References

Issues to address...

  • More details on parameter choice/performance