| k | N | Source |
| 5 | 160000 | Derive from strength 5 |
| 6 | 177285 | Derive from strength 5 |
| 7 | 186615 | Add a symbol |
| 8 | 196436 | Add a symbol |
| 9 | 206774 | Add a symbol |
| 10 | 217656 | Add a symbol |
| 11 | 229111 | Add a symbol |
| 12 | 241169 | Add a symbol |
| 13 | 253862 | Add a symbol |
| 14 | 267223 | Add a symbol |
| 24 | 279835 | orthogonal array fuse fuse fuse |
| 26 | 390615 | orthogonal array fuse fuse fuse fuse fuse |
| 28 | 531427 | orthogonal array fuse fuse fuse fuse fuse fuse fuse |
| 29 | 618087 | Derive from strength 5 |
| 32 | 627554 | Colbourn-Martirosyan-Trung-Walker |
| 34 | 631164 | Colbourn-Martirosyan-Trung-Walker |
| 40 | 631564 | Colbourn-Martirosyan-Trung-Walker |
| 47 | 641671 | Derive from strength 5 fuse fuse fuse |
| 48 | 669298 | Colbourn-Martirosyan-Trung-Walker |
| 52 | 840175 | Colbourn-Martirosyan-Trung-Walker |
| 60 | 906712 | Colbourn-Martirosyan-Trung-Walker |
| 63 | 943230 | Colbourn-Martirosyan-Trung-Walker |
| 66 | 943686 | Colbourn-Martirosyan-Trung-Walker |
| 69 | 943933 | Colbourn-Martirosyan-Trung-Walker |
| 72 | 980518 | Colbourn-Martirosyan-Trung-Walker |
| 78 | 1028276 | Colbourn-Martirosyan-Trung-Walker |
| 84 | 1041637 | Colbourn-Martirosyan-Trung-Walker |
| 85 | 1067251 | Colbourn-Martirosyan-Trung-Walker |
| 96 | 1074427 | Colbourn-Martirosyan-Trung-Walker |
| 100 | 1079335 | Colbourn-Martirosyan-Trung-Walker |
| 102 | 1094605 | Colbourn-Martirosyan-Trung-Walker |
| 120 | 1106689 | Colbourn-Martirosyan-Trung-Walker |
| 126 | 1148973 | Colbourn-Martirosyan-Trung-Walker |
| 132 | 1149501 | Colbourn-Martirosyan-Trung-Walker |
| 138 | 1149787 | Colbourn-Martirosyan-Trung-Walker |
| 140 | 1161086 | Colbourn-Martirosyan-Trung-Walker |
| 144 | 1186691 | Colbourn-Martirosyan-Trung-Walker |
| 161 | 1187082 | Colbourn-Martirosyan-Trung-Walker |
| 184 | 1225481 | Colbourn-Martirosyan-Trung-Walker |
| 207 | 1258590 | Colbourn-Martirosyan-Trung-Walker |
| 230 | 1273382 | Colbourn-Martirosyan-Trung-Walker |
| 253 | 1284840 | Colbourn-Martirosyan-Trung-Walker |
| 276 | 1304804 | Colbourn-Martirosyan-Trung-Walker |
| 299 | 1317499 | Colbourn-Martirosyan-Trung-Walker |
| 322 | 1330862 | Colbourn-Martirosyan-Trung-Walker |
| 345 | 1343476 | Colbourn-Martirosyan-Trung-Walker |
| 368 | 1347477 | Colbourn-Martirosyan-Trung-Walker |
| 391 | 1347478 | Colbourn-Martirosyan-Trung-Walker |
| 414 | 1347480 | Colbourn-Martirosyan-Trung-Walker |
| 437 | 1353541 | Colbourn-Martirosyan-Trung-Walker |
| 460 | 1353542 | Colbourn-Martirosyan-Trung-Walker |
| 483 | 1353543 | Colbourn-Martirosyan-Trung-Walker |
| 506 | 1353544 | Colbourn-Martirosyan-Trung-Walker |
| 529 | 1353545 | Colbourn-Martirosyan-Trung-Walker |
| 552 | 1542957 | Colbourn-Martirosyan-Trung-Walker |
| 572 | 1729054 | Colbourn-Martirosyan-Trung-Walker |
| 598 | 1729549 | Colbourn-Martirosyan-Trung-Walker |
| 625 | 1905615 | Colbourn-Martirosyan-Trung-Walker fuse fuse fuse fuse fuse |
| 644 | 1958647 | Colbourn-Martirosyan-Trung-Walker |
| 663 | 2070213 | Colbourn-Martirosyan-Trung-Walker |
| 702 | 2070215 | Colbourn-Martirosyan-Trung-Walker |
| 741 | 2076276 | Colbourn-Martirosyan-Trung-Walker |
| 780 | 2076277 | Colbourn-Martirosyan-Trung-Walker |
| 800 | 2086346 | Colbourn-Martirosyan-Trung-Walker |
| 820 | 2106522 | Colbourn-Martirosyan-Trung-Walker |
| 840 | 2116591 | Colbourn-Martirosyan-Trung-Walker |
| 860 | 2126660 | Colbourn-Martirosyan-Trung-Walker |
| 880 | 2136729 | Colbourn-Martirosyan-Trung-Walker |
| 900 | 2146798 | Colbourn-Martirosyan-Trung-Walker |
| 920 | 2156867 | Colbourn-Martirosyan-Trung-Walker |
| 940 | 2166936 | Colbourn-Martirosyan-Trung-Walker |
| 943 | 2184885 | Colbourn-Martirosyan-Trung-Walker |
| 960 | 2194563 | Colbourn-Martirosyan-Trung-Walker |
| 966 | 2196913 | Colbourn-Martirosyan-Trung-Walker |
| 989 | 2208941 | Colbourn-Martirosyan-Trung-Walker |
| 1012 | 2220969 | Colbourn-Martirosyan-Trung-Walker |
| 1035 | 2232997 | Colbourn-Martirosyan-Trung-Walker |
| 1081 | 2236077 | Colbourn-Martirosyan-Trung-Walker fuse fuse fuse |
| 1104 | 2266696 | Colbourn-Martirosyan-Trung-Walker |
| 1128 | 2545473 | Colbourn-Martirosyan-Trung-Walker |
| 1144 | 2555492 | Colbourn-Martirosyan-Trung-Walker |
| 1196 | 2555493 | Colbourn-Martirosyan-Trung-Walker |
| 1200 | 2660761 | Colbourn-Martirosyan-Trung-Walker |
| 1203 | 2679723 | Colbourn-Martirosyan-Trung-Walker |
| 1206 | 2680121 | Colbourn-Martirosyan-Trung-Walker |
| 1209 | 2680123 | Colbourn-Martirosyan-Trung-Walker |
| 1227 | 2686187 | Colbourn-Martirosyan-Trung-Walker |
| 1230 | 2686585 | Colbourn-Martirosyan-Trung-Walker |
| 1242 | 2686595 | Colbourn-Martirosyan-Trung-Walker |
| 1257 | 2692656 | Colbourn-Martirosyan-Trung-Walker |
| 1260 | 2700906 | Colbourn-Martirosyan-Trung-Walker |
| 1311 | 2700926 | Colbourn-Martirosyan-Trung-Walker |
| 1317 | 2704537 | Colbourn-Martirosyan-Trung-Walker |
| 1329 | 2706215 | Colbourn-Martirosyan-Trung-Walker |
| 1380 | 2714725 | Colbourn-Martirosyan-Trung-Walker |
| 1389 | 2722668 | Colbourn-Martirosyan-Trung-Walker |
| 1401 | 2724394 | Colbourn-Martirosyan-Trung-Walker |
| 1437 | 2729620 | Colbourn-Martirosyan-Trung-Walker |
| 1440 | 2733144 | Colbourn-Martirosyan-Trung-Walker |
| 1449 | 2754500 | Colbourn-Martirosyan-Trung-Walker |
| 1461 | 2754957 | Colbourn-Martirosyan-Trung-Walker |
| 1497 | 2760303 | Colbourn-Martirosyan-Trung-Walker |
| 1518 | 2767543 | Colbourn-Martirosyan-Trung-Walker |
| 1545 | 2767791 | Colbourn-Martirosyan-Trung-Walker |
| 1569 | 2771459 | Colbourn-Martirosyan-Trung-Walker |
| 1581 | 2773305 | Colbourn-Martirosyan-Trung-Walker |
| 1587 | 2777021 | Colbourn-Martirosyan-Trung-Walker |
| 1600 | 2814016 | Colbourn-Martirosyan-Trung-Walker |
| 1604 | 2832978 | Colbourn-Martirosyan-Trung-Walker |
| 1632 | 2833340 | Colbourn-Martirosyan-Trung-Walker |
| 1656 | 2833952 | Colbourn-Martirosyan-Trung-Walker |
| 1676 | 2845911 | Colbourn-Martirosyan-Trung-Walker |
| 1794 | 2850215 | Colbourn-Martirosyan-Trung-Walker |
| 1805 | 2863108 | Colbourn-Martirosyan-Trung-Walker |
| 1824 | 2863578 | Colbourn-Martirosyan-Trung-Walker |
| 1840 | 2867098 | Colbourn-Martirosyan-Trung-Walker |
| 1900 | 2867099 | Colbourn-Martirosyan-Trung-Walker |
| 1950 | 2871089 | Colbourn-Martirosyan-Trung-Walker |
| 1955 | 2879088 | Colbourn-Martirosyan-Trung-Walker |
| 2000 | 2879090 | Colbourn-Martirosyan-Trung-Walker |
| 2005 | 2900048 | Colbourn-Martirosyan-Trung-Walker |
| 2010 | 2900446 | Colbourn-Martirosyan-Trung-Walker |
| 2015 | 2900448 | Colbourn-Martirosyan-Trung-Walker |
| 2070 | 2900550 | Colbourn-Martirosyan-Trung-Walker |
| 2106 | 2904551 | Colbourn-Martirosyan-Trung-Walker |
| 2166 | 2912550 | Colbourn-Martirosyan-Trung-Walker |
| 2208 | 2916730 | Colbourn-Martirosyan-Trung-Walker |
| 2280 | 2916731 | Colbourn-Martirosyan-Trung-Walker |
| 2340 | 2920911 | Colbourn-Martirosyan-Trung-Walker |
| 2346 | 2928910 | Colbourn-Martirosyan-Trung-Walker |
| 2400 | 2928912 | Colbourn-Martirosyan-Trung-Walker |
| 2406 | 2950868 | Colbourn-Martirosyan-Trung-Walker |
| 2412 | 2951266 | Colbourn-Martirosyan-Trung-Walker |
| 2418 | 2951268 | Colbourn-Martirosyan-Trung-Walker |
| 2454 | 2957332 | Colbourn-Martirosyan-Trung-Walker |
| 2460 | 2957730 | Colbourn-Martirosyan-Trung-Walker |
| 2484 | 2957740 | Colbourn-Martirosyan-Trung-Walker |
| 2520 | 2960121 | Colbourn-Martirosyan-Trung-Walker |
| 2640 | 2960122 | Colbourn-Martirosyan-Trung-Walker |
| 2760 | 2960123 | Colbourn-Martirosyan-Trung-Walker |
| 2778 | 2995637 | Colbourn-Martirosyan-Trung-Walker |
| 2802 | 2997363 | Colbourn-Martirosyan-Trung-Walker |
| 2898 | 3002407 | Colbourn-Martirosyan-Trung-Walker |
| 2904 | 3002934 | Colbourn-Martirosyan-Trung-Walker |
| 3036 | 3002935 | Colbourn-Martirosyan-Trung-Walker |
| 3174 | 3003221 | Colbourn-Martirosyan-Trung-Walker |
| 3220 | 3014520 | Colbourn-Martirosyan-Trung-Walker |
| 3312 | 3040125 | Colbourn-Martirosyan-Trung-Walker |
| 3381 | 3040514 | Colbourn-Martirosyan-Trung-Walker |
| 3542 | 3040515 | Colbourn-Martirosyan-Trung-Walker |
| 3703 | 3040516 | Colbourn-Martirosyan-Trung-Walker |
| 3864 | 3078913 | Colbourn-Martirosyan-Trung-Walker |
| 4048 | 3078914 | Colbourn-Martirosyan-Trung-Walker |
| 4232 | 3078915 | Colbourn-Martirosyan-Trung-Walker |
| 4347 | 3112022 | Colbourn-Martirosyan-Trung-Walker |
| 4554 | 3112023 | Colbourn-Martirosyan-Trung-Walker |
| 4761 | 3112024 | Colbourn-Martirosyan-Trung-Walker |
| 4830 | 3126814 | Colbourn-Martirosyan-Trung-Walker |
| 5060 | 3126815 | Colbourn-Martirosyan-Trung-Walker |
| 5290 | 3126816 | Colbourn-Martirosyan-Trung-Walker |
| 5313 | 3138272 | Colbourn-Martirosyan-Trung-Walker |
| 5566 | 3138273 | Colbourn-Martirosyan-Trung-Walker |
| 5819 | 3138274 | Colbourn-Martirosyan-Trung-Walker |
| 6072 | 3158237 | Colbourn-Martirosyan-Trung-Walker |
| 6348 | 3158238 | Colbourn-Martirosyan-Trung-Walker |
| 6578 | 3170932 | Colbourn-Martirosyan-Trung-Walker |
| 6877 | 3170933 | Colbourn-Martirosyan-Trung-Walker |
| 7084 | 3184295 | Colbourn-Martirosyan-Trung-Walker |
| 7406 | 3184296 | Colbourn-Martirosyan-Trung-Walker |
| 7452 | 3194849 | Colbourn-Martirosyan-Trung-Walker |
| 7590 | 3196909 | Colbourn-Martirosyan-Trung-Walker |
| 7935 | 3196910 | Colbourn-Martirosyan-Trung-Walker |
| 8211 | 3200910 | Colbourn-Martirosyan-Trung-Walker |
| 8602 | 3200911 | Colbourn-Martirosyan-Trung-Walker |
| 8993 | 3200912 | Colbourn-Martirosyan-Trung-Walker |
| 9108 | 3200913 | Colbourn-Martirosyan-Trung-Walker |
| 9522 | 3200914 | Colbourn-Martirosyan-Trung-Walker |
| 9660 | 3206974 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 3206975 | Colbourn-Martirosyan-Trung-Walker |