| k | N | Source |
| 6 | 243 | orthogonal array |
| 7 | 351 | cross-sum (CKRS) |
| 8 | 405 | Xu-Ji-Dong |
| 10 | 483 | Derive from strength 6 |
| 11 | 705 | Density (Colbourn) postop NCK |
| 13 | 723 | Walker-Colbourn |
| 14 | 918 | Density (Linnemann-Frewer) postop NCK |
| 16 | 963 | Walker-Colbourn |
| 17 | 1108 | Density (Linnemann-Frewer) postop NCK |
| 18 | 1164 | Density (Linnemann-Frewer) postop NCK |
| 19 | 1197 | Walker-Colbourn postop NCK |
| 20 | 1262 | Density (Linnemann-Frewer) postop NCK |
| 21 | 1313 | Density (Linnemann-Frewer) postop NCK |
| 22 | 1346 | Density (Linnemann-Frewer) postop NCK |
| 23 | 1401 | Density (Linnemann-Frewer) postop NCK |
| 24 | 1440 | Density (Linnemann-Frewer) postop NCK |
| 25 | 1483 | Density (Colbourn) postop NCK |
| 26 | 1521 | Density (Linnemann-Frewer) postop NCK |
| 27 | 1538 | Density (Linnemann-Frewer) postop NCK |
| 28 | 1579 | Density (Linnemann-Frewer) postop NCK |
| 29 | 1615 | Density (Linnemann-Frewer) postop NCK |
| 30 | 1647 | Density (Linnemann-Frewer) postop NCK |
| 31 | 1681 | Density (Linnemann-Frewer) postop NCK |
| 32 | 1724 | Density (Colbourn) postop NCK |
| 34 | 1783 | Density (Colbourn) postop NCK |
| 35 | 1851 | Density (Linnemann-Frewer) |
| 36 | 1882 | Density (Linnemann-Frewer) postop NCK |
| 37 | 1909 | Density (Linnemann-Frewer) |
| 38 | 1937 | Density (Linnemann-Frewer) postop NCK |
| 39 | 1960 | Density (Linnemann-Frewer) |
| 40 | 1986 | Density (Linnemann-Frewer) postop NCK |
| 41 | 2020 | IPOG-F (NIST) postop NCK |
| 42 | 2046 | IPOG-F (NIST) |
| 43 | 2069 | IPOG-F (NIST) postop NCK |
| 44 | 2091 | IPOG-F (NIST) |
| 45 | 2112 | IPOG-F (NIST) |
| 46 | 2130 | IPOG-F (NIST) |
| 47 | 2150 | IPOG-F (NIST) |
| 48 | 2174 | IPOG-F (NIST) |
| 49 | 2191 | IPOG-F (NIST) |
| 50 | 2213 | IPOG-F (NIST) |
| 51 | 2231 | IPOG-F (NIST) |
| 52 | 2251 | IPOG-F (NIST) |
| 53 | 2269 | IPOG-F (NIST) |
| 54 | 2289 | IPOG-F (NIST) |
| 55 | 2309 | IPOG-F (NIST) |
| 56 | 2327 | IPOG-F (NIST) |
| 57 | 2342 | IPOG-F (NIST) |
| 58 | 2358 | IPOG-F (NIST) |
| 59 | 2373 | IPOG-F (NIST) |
| 60 | 2394 | IPOG-F (NIST) |
| 61 | 2408 | IPOG-F (NIST) |
| 62 | 2425 | IPOG-F (NIST) |
| 63 | 2440 | IPOG-F (NIST) |
| 64 | 2451 | IPOG-F (NIST) |
| 65 | 2468 | IPOG-F (NIST) |
| 66 | 2482 | IPOG-F (NIST) |
| 67 | 2498 | IPOG-F (NIST) |
| 68 | 2512 | IPOG-F (NIST) |
| 69 | 2527 | IPOG-F (NIST) |
| 70 | 2542 | IPOG-F (NIST) |
| 71 | 2555 | IPOG-F (NIST) |
| 72 | 2573 | IPOG-F (NIST) |
| 73 | 2584 | IPOG-F (NIST) |
| 74 | 2597 | IPOG-F (NIST) |
| 75 | 2609 | IPOG-F (NIST) |
| 76 | 2625 | IPOG-F (NIST) |
| 77 | 2639 | IPOG-F (NIST) |
| 78 | 2648 | IPOG-F (NIST) |
| 79 | 2661 | IPOG-F (NIST) |
| 80 | 2673 | IPOG-F (NIST) |
| 81 | 2686 | IPOG-F (NIST) |
| 82 | 2700 | IPOG-F (NIST) |
| 83 | 2710 | IPOG-F (NIST) |
| 84 | 2725 | IPOG-F (NIST) |
| 85 | 2739 | IPOG-F (NIST) |
| 86 | 2749 | IPOG-F (NIST) |
| 87 | 2762 | IPOG-F (NIST) |
| 88 | 2770 | IPOG-F (NIST) |
| 89 | 2783 | IPOG-F (NIST) |
| 90 | 2792 | IPOG-F (NIST) |
| 91 | 2805 | IPOG-F (NIST) |
| 92 | 2815 | IPOG-F (NIST) |
| 93 | 2825 | IPOG-F (NIST) |
| 94 | 2836 | IPOG-F (NIST) |
| 95 | 2847 | IPOG-F (NIST) |
| 96 | 2857 | IPOG-F (NIST) |
| 97 | 2868 | IPOG-F (NIST) |
| 98 | 2877 | IPOG-F (NIST) |
| 99 | 2885 | IPOG-F (NIST) |
| 100 | 2895 | IPOG-F (NIST) |
| 101 | 2909 | IPOG-F (NIST) |
| 102 | 2920 | IPOG-F (NIST) |
| 103 | 2928 | IPOG-F (NIST) |
| 104 | 2938 | IPOG-F (NIST) |
| 105 | 2945 | IPOG-F (NIST) |
| 106 | 2954 | IPOG-F (NIST) |
| 107 | 2962 | IPOG-F (NIST) |
| 108 | 2972 | IPOG-F (NIST) |
| 109 | 2980 | IPOG-F (NIST) |
| 110 | 2991 | IPOG-F (NIST) |
| 111 | 2999 | IPOG-F (NIST) |
| 112 | 3008 | IPOG-F (NIST) |
| 113 | 3017 | IPOG-F (NIST) |
| 114 | 3026 | IPOG-F (NIST) |
| 115 | 3036 | IPOG-F (NIST) |
| 116 | 3044 | IPOG-F (NIST) |
| 1051 | 3156 | Cyclotomy (Colbourn) |
| 1069 | 3210 | Cyclotomy (Colbourn) |
| 1087 | 3264 | Cyclotomy (Colbourn) |
| 1093 | 3282 | Cyclotomy (Colbourn) |
| 1123 | 3369 | Cyclotomy (Colbourn) |
| 1129 | 3390 | Cyclotomy (Colbourn) |
| 1171 | 3516 | Cyclotomy (Colbourn) |
| 1213 | 3642 | Cyclotomy (Colbourn) |
| 1231 | 3696 | Cyclotomy (Colbourn) |
| 1249 | 3750 | Cyclotomy (Colbourn) |
| 1279 | 3840 | Cyclotomy (Colbourn) |
| 1291 | 3876 | Cyclotomy (Colbourn) |
| 1292 | 5280 | Add a factor |
| 1293 | 6684 | Add a factor |
| 1726 | 6932 | Martirosyan-Tran van Trung |
| 2100 | 6986 | Martirosyan-Tran van Trung |
| 2102 | 7040 | Martirosyan-Tran van Trung |
| 2138 | 7130 | Martirosyan-Tran van Trung |
| 2174 | 7220 | Martirosyan-Tran van Trung |
| 2186 | 7250 | Martirosyan-Tran van Trung |
| 2234 | 7389 | Martirosyan-Tran van Trung |
| 2246 | 7397 | Martirosyan-Tran van Trung |
| 2258 | 7430 | Martirosyan-Tran van Trung |
| 2342 | 7640 | Martirosyan-Tran van Trung |
| 2426 | 7850 | Martirosyan-Tran van Trung |
| 2462 | 7940 | Martirosyan-Tran van Trung |
| 2498 | 8030 | Martirosyan-Tran van Trung |
| 2558 | 8180 | Martirosyan-Tran van Trung |
| 2582 | 8240 | Martirosyan-Tran van Trung |
| 2584 | 9656 | Martirosyan-Tran van Trung |
| 2586 | 11060 | Martirosyan-Tran van Trung |
| 2594 | 11308 | Martirosyan-Tran van Trung |
| 2606 | 11320 | Martirosyan-Tran van Trung |
| 2642 | 11360 | Martirosyan-Tran van Trung |
| 2654 | 11368 | Martirosyan-Tran van Trung |
| 2762 | 11476 | Martirosyan-Tran van Trung |
| 2798 | 11512 | Martirosyan-Tran van Trung |
| 2846 | 11560 | Martirosyan-Tran van Trung |
| 2858 | 11576 | Martirosyan-Tran van Trung |
| 2894 | 11608 | Martirosyan-Tran van Trung |
| 2906 | 11620 | Martirosyan-Tran van Trung |
| 2918 | 11632 | Martirosyan-Tran van Trung |
| 2942 | 11656 | Martirosyan-Tran van Trung |
| 2966 | 11680 | Martirosyan-Tran van Trung |
| 2978 | 11692 | Martirosyan-Tran van Trung |
| 3062 | 11776 | Martirosyan-Tran van Trung |
| 3086 | 11800 | Martirosyan-Tran van Trung |
| 3098 | 11812 | Martirosyan-Tran van Trung |
| 3134 | 11848 | Martirosyan-Tran van Trung |
| 3158 | 11872 | Martirosyan-Tran van Trung |
| 3194 | 11908 | Martirosyan-Tran van Trung |
| 3218 | 11932 | Martirosyan-Tran van Trung |
| 3242 | 11956 | Martirosyan-Tran van Trung |
| 3254 | 11968 | Martirosyan-Tran van Trung |
| 3314 | 12028 | Martirosyan-Tran van Trung |
| 3326 | 12040 | Martirosyan-Tran van Trung |
| 3338 | 12052 | Martirosyan-Tran van Trung |
| 3452 | 12096 | Martirosyan-Tran van Trung |
| 3564 | 12150 | Martirosyan-Tran van Trung |
| 3600 | 12154 | Martirosyan-Tran van Trung |
| 3666 | 12190 | Martirosyan-Tran van Trung |
| 3924 | 12244 | Martirosyan-Tran van Trung |
| 3960 | 12258 | Martirosyan-Tran van Trung |
| 3988 | 12266 | Martirosyan-Tran van Trung |
| 4000 | 12320 | Martirosyan-Tran van Trung |
| 4200 | 12336 | Martirosyan-Tran van Trung |
| 4204 | 12390 | Martirosyan-Tran van Trung |
| 4276 | 12516 | Martirosyan-Tran van Trung |
| 4320 | 12642 | Martirosyan-Tran van Trung |
| 4348 | 12656 | Martirosyan-Tran van Trung |
| 4356 | 12698 | Martirosyan-Tran van Trung |
| 4372 | 12702 | Martirosyan-Tran van Trung |
| 4400 | 12893 | Martirosyan-Tran van Trung |
| 4468 | 12913 | Martirosyan-Tran van Trung |
| 4492 | 12929 | Martirosyan-Tran van Trung |
| 4516 | 12974 | Martirosyan-Tran van Trung |
| 4684 | 13268 | Martirosyan-Tran van Trung |
| 4716 | 13562 | Martirosyan-Tran van Trung |
| 4732 | 13568 | Martirosyan-Tran van Trung |
| 4852 | 13570 | Martirosyan-Tran van Trung |
| 4860 | 13660 | Martirosyan-Tran van Trung |
| 4914 | 13680 | Martirosyan-Tran van Trung |
| 4924 | 13734 | Martirosyan-Tran van Trung |
| 4996 | 13824 | Martirosyan-Tran van Trung |
| 5116 | 13974 | Martirosyan-Tran van Trung |
| 5164 | 14034 | Martirosyan-Tran van Trung |
| 5168 | 15450 | Martirosyan-Tran van Trung |
| 5172 | 16854 | Martirosyan-Tran van Trung |
| 5188 | 17102 | Martirosyan-Tran van Trung |
| 5212 | 17114 | Martirosyan-Tran van Trung |
| 5284 | 17154 | Martirosyan-Tran van Trung |
| 5308 | 17162 | Martirosyan-Tran van Trung |
| 5472 | 17250 | Power CZ3-19.15-16.1-18.1 |
| 5776 | 17308 | Power CZ3-19.16-16.1 |
| 5832 | 17368 | Power CZ3-19.14-18.3 |
| 6156 | 17426 | Power CZ3-19.15-18.1-18.1 |
| 6498 | 17484 | Power CZ3-19.16-18.1 |
| 6859 | 17542 | Power CZ3-19.17 |
| 6904 | 18390 | Martirosyan-Tran van Trung |
| 7026 | 18444 | Martirosyan-Tran van Trung |
| 7074 | 18528 | Martirosyan-Tran van Trung |
| 7098 | 18534 | Martirosyan-Tran van Trung |
| 7128 | 18542 | Martirosyan-Tran van Trung |
| 7200 | 18546 | Martirosyan-Tran van Trung |
| 7260 | 18582 | Martirosyan-Tran van Trung |
| 7278 | 18602 | Martirosyan-Tran van Trung |
| 7332 | 18638 | Martirosyan-Tran van Trung |
| 7386 | 18692 | Martirosyan-Tran van Trung |
| 7494 | 18728 | Martirosyan-Tran van Trung |
| 7644 | 18788 | Martirosyan-Tran van Trung |
| 7668 | 18790 | Martirosyan-Tran van Trung |
| 7674 | 18794 | Martirosyan-Tran van Trung |
| 7746 | 18818 | Martirosyan-Tran van Trung |
| 7782 | 18830 | Martirosyan-Tran van Trung |
| 7818 | 18842 | Martirosyan-Tran van Trung |
| 7848 | 18882 | Martirosyan-Tran van Trung |
| 7920 | 18896 | Martirosyan-Tran van Trung |
| 7926 | 18904 | Martirosyan-Tran van Trung |
| 7944 | 18912 | Martirosyan-Tran van Trung |
| 7962 | 18914 | Martirosyan-Tran van Trung |
| 7976 | 18980 | Martirosyan-Tran van Trung |
| 8000 | 19034 | Martirosyan-Tran van Trung |
| 8100 | 19104 | Martirosyan-Tran van Trung |
| 8208 | 19108 | Martirosyan-Tran van Trung |
| 8286 | 19124 | Martirosyan-Tran van Trung |
| 8400 | 19126 | Martirosyan-Tran van Trung |
| 8408 | 19180 | Martirosyan-Tran van Trung |
| 8552 | 19342 | Martirosyan-Tran van Trung |
| 8640 | 19504 | Martirosyan-Tran van Trung |
| 8696 | 19532 | Martirosyan-Tran van Trung |
| 8712 | 19586 | Martirosyan-Tran van Trung |
| 8744 | 19596 | Martirosyan-Tran van Trung |
| 8800 | 19893 | Martirosyan-Tran van Trung |
| 8936 | 19943 | Martirosyan-Tran van Trung |
| 8984 | 19967 | Martirosyan-Tran van Trung |
| 9032 | 20024 | Martirosyan-Tran van Trung |
| 9368 | 20402 | Martirosyan-Tran van Trung |
| 9746 | 20651 | Power CZ3-23.12-22.5 |
| 10000 | 20706 | Power CZ3-23.13-22.4 |