| k | N | Source |
| 5 | 16 | orthogonal array |
| 6 | 21 | Johnson-Entringer |
| 12 | 24 | Special (Yan Jun) |
| 13 | 34 | Soriano |
| 14 | 44 | Greedy (Kuliamin) |
| 15 | 46 | Greedy (Kuliamin) |
| 16 | 48 | Greedy (Kuliamin) |
| 17 | 49 | Greedy (Kuliamin) |
| 18 | 52 | Greedy (Kuliamin) |
| 20 | 55 | Colbourn-Martirosyan-Trung-Walker |
| 22 | 57 | Colbourn-Martirosyan-Trung-Walker |
| 24 | 61 | Colbourn-Martirosyan-Trung-Walker |
| 25 | 65 | Greedy (Kuliamin) |
| 26 | 72 | Colbourn-Martirosyan-Trung-Walker |
| 32 | 73 | Greedy (Kuliamin) |
| 33 | 83 | IPOG-F (NIST) |
| 34 | 84 | IPOG-F (NIST) |
| 35 | 85 | IPOG-F (NIST) |
| 36 | 86 | IPOG-F (NIST) |
| 37 | 88 | IPOG-F (NIST) |
| 39 | 89 | IPOG-F (NIST) |
| 41 | 90 | IPOG-F (NIST) |
| 43 | 91 | IPOG-F (NIST) |
| 45 | 92 | IPOG-F (NIST) |
| 46 | 94 | IPOG-F (NIST) |
| 47 | 96 | IPOG-F (NIST) |
| 49 | 97 | IPOG-F (NIST) |
| 51 | 98 | IPOG-F (NIST) |
| 53 | 99 | IPOG-F (NIST) |
| 55 | 101 | IPOG-F (NIST) |
| 59 | 103 | IPOG-F (NIST) |
| 61 | 104 | IPOG-F (NIST) |
| 62 | 106 | IPOG-F (NIST) |
| 64 | 107 | IPOG-F (NIST) |
| 65 | 108 | IPOG-F (NIST) |
| 67 | 109 | IPOG-F (NIST) |
| 68 | 110 | IPOG-F (NIST) |
| 71 | 111 | IPOG-F (NIST) |
| 72 | 112 | IPOG-F (NIST) |
| 78 | 114 | IPOG-F (NIST) |
| 80 | 115 | IPOG-F (NIST) |
| 144 | 116 | Power 12^2 |
| 145 | 138 | extend by one factor |
| 148 | 141 | IPOG-F (NIST) |
| 152 | 142 | IPOG-F (NIST) |
| 155 | 143 | IPOG-F (NIST) |
| 162 | 145 | IPOG-F (NIST) |
| 165 | 146 | IPOG-F (NIST) |
| 169 | 147 | IPOG-F (NIST) |
| 173 | 148 | IPOG-F (NIST) |
| 175 | 149 | IPOG-F (NIST) |
| 178 | 150 | IPOG-F (NIST) |
| 185 | 151 | IPOG-F (NIST) |
| 190 | 153 | IPOG-F (NIST) |
| 195 | 154 | IPOG-F (NIST) |
| 199 | 155 | IPOG-F (NIST) |
| 207 | 156 | IPOG-F (NIST) |
| 209 | 157 | IPOG-F (NIST) |
| 215 | 158 | IPOG-F (NIST) |
| 218 | 159 | IPOG-F (NIST) |
| 223 | 160 | IPOG-F (NIST) |
| 228 | 161 | IPOG-F (NIST) |
| 231 | 163 | IPOG-F (NIST) |
| 242 | 164 | IPOG-F (NIST) |
| 246 | 165 | IPOG-F (NIST) |
| 252 | 166 | IPOG-F (NIST) |
| 254 | 167 | IPOG-F (NIST) |
| 262 | 168 | IPOG-F (NIST) |
| 275 | 169 | IPOG-F (NIST) |
| 279 | 170 | IPOG-F (NIST) |
| 281 | 171 | IPOG-F (NIST) |
| 289 | 172 | IPOG-F (NIST) |
| 308 | 174 | IPOG-F (NIST) |
| 309 | 175 | IPOG-F (NIST) |
| 312 | 176 | IPOG-F (NIST) |
| 313 | 177 | IPOG-F (NIST) |
| 321 | 178 | IPOG-F (NIST) |
| 328 | 179 | IPOG-F (NIST) |
| 341 | 180 | IPOG-F (NIST) |
| 347 | 181 | IPOG-F (NIST) |
| 355 | 182 | IPOG-F (NIST) |
| 363 | 183 | IPOG-F (NIST) |
| 366 | 184 | IPOG-F (NIST) |
| 383 | 185 | IPOG-F (NIST) |
| 389 | 186 | IPOG-F (NIST) |
| 405 | 187 | IPOG-F (NIST) |
| 408 | 188 | IPOG-F (NIST) |
| 412 | 189 | IPOG-F (NIST) |
| 423 | 190 | IPOG-F (NIST) |
| 433 | 191 | IPOG-F (NIST) |
| 438 | 192 | IPOG-F (NIST) |
| 444 | 193 | IPOG-F (NIST) |
| 457 | 194 | IPOG-F (NIST) |
| 478 | 195 | IPOG-F (NIST) |
| 483 | 196 | IPOG-F (NIST) |
| 489 | 197 | IPOG-F (NIST) |
| 506 | 198 | IPOG-F (NIST) |
| 517 | 199 | IPOG-F (NIST) |
| 529 | 200 | IPOG-F (NIST) |
| 533 | 201 | IPOG-F (NIST) |
| 546 | 202 | IPOG-F (NIST) |
| 552 | 203 | IPOG-F (NIST) |
| 571 | 204 | IPOG-F (NIST) |
| 575 | 205 | IPOG-F (NIST) |
| 596 | 206 | IPOG-F (NIST) |
| 599 | 207 | IPOG-F (NIST) |
| 1332 | 208 | Power 12^3 |
| 1333 | 236 | extend by one factor |
| 1334 | 264 | extend by one factor |
| 1335 | 292 | extend by one factor |
| 2197 | 298 | Power 13^3 |
| 2662 | 315 | Colbourn-Martirosyan-Trung-Walker |
| 2664 | 328 | Colbourn-Martirosyan-Trung-Walker |
| 2666 | 356 | Colbourn-Martirosyan-Trung-Walker |
| 2668 | 384 | Colbourn-Martirosyan-Trung-Walker |
| 2670 | 412 | Colbourn-Martirosyan-Trung-Walker |
| 3168 | 418 | Colbourn-Martirosyan-Trung-Walker |
| 3432 | 419 | Colbourn-Martirosyan-Trung-Walker |
| 4394 | 423 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 430 | Power 13^4 |