| k | N | Source |
| 10 | 81 | orthogonal array |
| 11 | 102 | simulated annealing (Torres-Jimenez) |
| 13 | 105 | Fix 1 symbols (Meagher-Stevens) |
| 14 | 112 | projection (C) postop NCK |
| 16 | 118 | Fix 2 symbols (LCDST) postop NCK |
| 17 | 125 | Fix 2 symbols (LCDST) postop NCK |
| 19 | 129 | Fix 3 symbols (LCDST) |
| 20 | 132 | Fix 3 symbols (LCDST) postop TJ-SA |
| 21 | 139 | Fix 3 symbols (LCDST) postop TJ-SA |
| 22 | 141 | simulated annealing (Torres-Jimenez) |
| 23 | 142 | simulated annealing (Torres-Jimenez) |
| 25 | 144 | simulated annealing (Torres-Jimenez) |
| 26 | 145 | simulated annealing (Torres-Jimenez) |
| 28 | 146 | simulated annealing (Torres-Jimenez) |
| 29 | 147 | simulated annealing (Torres-Jimenez) |
| 30 | 148 | simulated annealing (Torres-Jimenez) |
| 31 | 152 | simulated annealing (Torres-Jimenez) |
| 99 | 153 | PCAx2PCA |
| 100 | 160 | Direct product |
| 108 | 170 | Direct product |
| 110 | 174 | Direct product |
| 129 | 177 | PCAx2PCA |
| 130 | 182 | PCAx2PCA |
| 140 | 184 | Direct product |
| 156 | 190 | PCAx2PCA |
| 158 | 194 | PCAx2PCA |
| 159 | 195 | PCAx2PCA |
| 160 | 196 | Direct product |
| 164 | 197 | PCAx2PCA |
| 166 | 199 | PCAx2PCA |
| 184 | 201 | PCAx2PCA |
| 192 | 204 | PCAx2PCA |
| 193 | 205 | PCAx2PCA |
| 194 | 207 | PCAx2PCA |
| 197 | 208 | PCAx2PCA |
| 199 | 209 | PCAx2PCA |
| 200 | 210 | Direct product |
| 203 | 212 | PCAx2PCA |
| 214 | 213 | PCAx2PCA |
| 227 | 214 | PCAx2PCA |
| 228 | 215 | PCAx2PCA |
| 250 | 216 | Direct product |
| 260 | 217 | Direct product |
| 278 | 218 | PCAx2PCA |
| 288 | 219 | PCAx2PCA |
| 297 | 220 | PCAx2PCA |
| 300 | 223 | Direct product |
| 307 | 224 | PCAx2PCA |
| 981 | 225 | PCAx2PCA |
| 990 | 232 | PCAx2PCA |
| 1000 | 238 | Direct product |
| 1092 | 242 | Direct product |
| 1278 | 249 | PCAx2PCA |
| 1287 | 254 | Direct product |
| 1300 | 255 | Direct product |
| 1386 | 256 | Direct product |
| 1400 | 258 | Direct product |
| 1548 | 262 | PCAx2PCA |
| 1566 | 266 | PCAx2PCA |
| 1575 | 267 | PCAx2PCA |
| 1584 | 268 | PCAx2PCA |
| 1629 | 269 | PCAx2PCA |
| 1647 | 271 | PCAx2PCA |
| 1827 | 273 | PCAx2PCA |
| 1908 | 276 | PCAx2PCA |
| 1917 | 277 | PCAx2PCA |
| 1926 | 279 | PCAx2PCA |
| 1953 | 280 | PCAx2PCA |
| 1971 | 281 | PCAx2PCA |
| 1980 | 282 | PCAx2PCA |
| 2016 | 284 | PCAx2PCA |
| 2124 | 285 | PCAx2PCA |
| 2250 | 286 | PCAx2PCA |
| 2259 | 287 | PCAx2PCA |
| 2475 | 288 | Direct product |
| 2574 | 289 | Direct product |
| 2754 | 290 | PCAx2PCA |
| 2853 | 291 | PCAx2PCA |
| 2943 | 292 | PCAx2PCA |
| 2970 | 295 | Direct product |
| 3042 | 296 | PCAx2PCA |
| 9729 | 297 | PCAx2PCA |
| 9810 | 304 | PCAx2PCA |
| 9900 | 310 | PCAx2PCA |
| 10831 | 314 | PCAx2PCA |
| 12681 | 321 | PCAx2PCA |
| 12753 | 326 | Direct product |
| 12870 | 327 | Direct product |
| 13734 | 328 | Direct product |
| 13860 | 330 | Direct product |
| 15372 | 334 | PCAx2PCA |
| 15534 | 338 | PCAxPCA |
| 15615 | 339 | PCAxPCA |
| 15696 | 340 | PCAx2PCA |
| 16191 | 341 | PCAx2PCA |
| 16353 | 343 | PCAxPCA |
| 18153 | 345 | PCAx2PCA |
| 18972 | 348 | PCAxPCA |
| 19053 | 349 | PCAxPCA |
| 19134 | 351 | PCAx2PCA |
| 19377 | 352 | PCAxPCA |
| 19539 | 353 | PCAxPCA |
| 19620 | 354 | PCAx2PCA |
| 19710 | 355 | PCAxPCA |
| 20000 | 356 | PCAxPCA |