| k | N | Source |
| 12 | 161051 | orthogonal array |
| 13 | 307461 | extend by one factor |
| 14 | 371291 | fuse symbols |
| 24 | 416603 | Martirosyan-Tran van Trung |
| 25 | 696113 | extend by one factor |
| 26 | 732193 | Martirosyan-Tran van Trung |
| 28 | 802103 | Martirosyan-Tran van Trung |
| 32 | 854535 | Martirosyan-Tran van Trung |
| 34 | 863555 | Martirosyan-Tran van Trung |
| 36 | 871673 | Martirosyan-Tran van Trung |
| 38 | 881595 | Martirosyan-Tran van Trung |
| 40 | 890615 | Martirosyan-Tran van Trung |
| 42 | 899635 | Martirosyan-Tran van Trung |
| 44 | 908655 | Martirosyan-Tran van Trung |
| 46 | 915871 | Martirosyan-Tran van Trung |
| 48 | 1047771 | Martirosyan-Tran van Trung |
| 49 | 1339381 | extend by one factor |
| 50 | 1549695 | Martirosyan-Tran van Trung |
| 52 | 1585775 | Martirosyan-Tran van Trung |
| 56 | 1661765 | Martirosyan-Tran van Trung |
| 64 | 1755007 | Martirosyan-Tran van Trung |
| 68 | 1764027 | Martirosyan-Tran van Trung |
| 122 | 1771551 | Power 12^2 |
| 123 | 2184161 | extend by one factor |
| 124 | 2596771 | extend by one factor |
| 128 | 2655479 | Martirosyan-Tran van Trung |
| 136 | 2664499 | Martirosyan-Tran van Trung |
| 242 | 2672023 | Martirosyan-Tran van Trung |
| 244 | 2696223 | Martirosyan-Tran van Trung |
| 246 | 3108833 | Martirosyan-Tran van Trung |
| 248 | 3521443 | Martirosyan-Tran van Trung |
| 256 | 3580151 | Martirosyan-Tran van Trung |
| 264 | 3589171 | Martirosyan-Tran van Trung |
| 272 | 3808471 | Martirosyan-Tran van Trung |
| 286 | 3815995 | Martirosyan-Tran van Trung |
| 288 | 3867395 | Martirosyan-Tran van Trung |
| 308 | 3894455 | Martirosyan-Tran van Trung |
| 352 | 3936375 | Martirosyan-Tran van Trung |
| 382 | 3996875 | Martirosyan-Tran van Trung |
| 384 | 4002287 | Martirosyan-Tran van Trung |
| 406 | 4005895 | Martirosyan-Tran van Trung |
| 430 | 4014915 | Martirosyan-Tran van Trung |
| 432 | 4023033 | Martirosyan-Tran van Trung |
| 454 | 4023935 | Martirosyan-Tran van Trung |
| 484 | 4032955 | Martirosyan-Tran van Trung |
| 488 | 4057155 | Martirosyan-Tran van Trung |
| 530 | 4166021 | linear hash family |
| 531 | 4844831 | extend by one factor |
| 532 | 5523641 | extend by one factor |
| 542 | 5541933 | Martirosyan-Tran van Trung |
| 544 | 5547345 | Martirosyan-Tran van Trung |
| 572 | 5558477 | Martirosyan-Tran van Trung |
| 576 | 5615957 | Martirosyan-Tran van Trung |
| 578 | 5651135 | Martirosyan-Tran van Trung |
| 616 | 5652037 | Martirosyan-Tran van Trung |
| 704 | 5734767 | Martirosyan-Tran van Trung |
| 764 | 5795267 | Martirosyan-Tran van Trung |
| 768 | 5800679 | Martirosyan-Tran van Trung |
| 812 | 5804287 | Martirosyan-Tran van Trung |
| 860 | 5813307 | Martirosyan-Tran van Trung |
| 864 | 5821425 | Martirosyan-Tran van Trung |
| 908 | 5822327 | Martirosyan-Tran van Trung |
| 968 | 5831347 | Martirosyan-Tran van Trung |
| 976 | 5855547 | Martirosyan-Tran van Trung |
| 1060 | 5964413 | Martirosyan-Tran van Trung |
| 1062 | 6643223 | Martirosyan-Tran van Trung |
| 1064 | 7322033 | Martirosyan-Tran van Trung |
| 1084 | 7340325 | Martirosyan-Tran van Trung |
| 1088 | 7345737 | Martirosyan-Tran van Trung |
| 1100 | 7356869 | Martirosyan-Tran van Trung |
| 1144 | 7466869 | Martirosyan-Tran van Trung |
| 1152 | 7524349 | Martirosyan-Tran van Trung |
| 1156 | 7559527 | Martirosyan-Tran van Trung |
| 1232 | 7560429 | Martirosyan-Tran van Trung |
| 1408 | 7643159 | Martirosyan-Tran van Trung |
| 1528 | 7703659 | Martirosyan-Tran van Trung |
| 1536 | 7709071 | Martirosyan-Tran van Trung |
| 1624 | 7712679 | Martirosyan-Tran van Trung |
| 1720 | 7721699 | Martirosyan-Tran van Trung |
| 1728 | 7729817 | Martirosyan-Tran van Trung |
| 1816 | 7730719 | Martirosyan-Tran van Trung |
| 1936 | 7739739 | Martirosyan-Tran van Trung |
| 1952 | 7763939 | Martirosyan-Tran van Trung |
| 2120 | 7872805 | Martirosyan-Tran van Trung |
| 2124 | 8551615 | Martirosyan-Tran van Trung |
| 10000 | 8748643 | Power 23^3 |