Table for CAN(5,k,14) for k up to 10000

Last Updated Fri Sep 20 11:41:02 MST 2013

Locate the k in the first column that is at least as large as the number of factors in which you are interested. Then let N be the number of rows (tests) given in the second column. A CA(N;5,k,14) exists according to a construction in the reference (cryptically) given in the third column. The accompanying graph plots N vertically against log k (base 10).

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k N Source 6 537824 Derive from strength 6 7 623748 Derive from strength 6 8 671728 Add a symbol 9 723399 Add a symbol 10 779045 Add a symbol 11 838971 Add a symbol 12 903507 Add a symbol 13 973007 Add a symbol 14 1047853 Add a symbol 17 1048572 orthogonal array fuse fuse 18 1419851 orthogonal array fuse fuse fuse 19 2150399 AZ1 20 2476089 orthogonal array fuse fuse fuse fuse fuse 22 3110708 Martirosyan-Tran van Trung 24 3145713 perfect hash family3,24,17 26 3474337 Martirosyan-Tran van Trung 28 3603731 Martirosyan-Tran van Trung 30 3814497 Martirosyan-Tran van Trung 32 3843666 Martirosyan-Tran van Trung 34 3857721 Martirosyan-Tran van Trung 36 4483275 Martirosyan-Tran van Trung 37 5798225 AZ1 39 6291426 perfect hash family6,39,17 40 7264432 perfect hash family7,48,17T4 42 7339278 perfect hash family7,48,17T3 48 7339997 perfect hash family7,48,17 55 8388568 perfect hash family8,55,17 56 8629410 Power CT11^2Arc(10) 58 8689336 Power CT11^2Arc(9) 61 8749262 Power CT11^2Arc(8) 65 8809188 Power CT11^2Arc(7) 70 8869114 Power CT11^2Arc(6) 76 8929040 Power CT11^2Arc(5) 83 8988966 Power CT11^2Arc(4) 91 9048892 Power CT11^2Arc(3) 100 9108818 Power CT11^2T1T1 110 9168744 Power CT11^2T1 121 9228670 Power CT11^2 122 9938566 Power CT11^2+1 123 10425066 Power CT13^2Arc(4) 133 10494566 Power CT13^2Arc(3) 144 10564066 Power CT13^2T1T1 156 10633566 Power CT13^2T1 169 10703066 Power CT13^2 170 11264754 Power CT17^2T7 187 11324680 Power CT17^2T6 204 11389216 Power CT17^2T5 221 11458716 Power CT17^2T4 238 11533562 Power CT17^2T3 289 11534281 Power CT17^2 290 13321339 AZ1 291 14478131 Add 2 factors 292 15516959 Add 3 factors 293 16966651 Add 4 factors 305 17477401 Add 16 factors 306 18741193 Add 17 factors 307 19312336 Power N-CT19^2Arc(3) 324 20042884 Power N-CT19^2T1T1 342 20773432 Power N-CT19^2T1 361 21503980 Power N-CT19^2 374 22388512 Martirosyan-Tran van Trung 376 22600190 Martirosyan-Tran van Trung 384 22616564 Martirosyan-Tran van Trung 408 22627172 Martirosyan-Tran van Trung 410 22739372 Martirosyan-Tran van Trung 416 22755746 Martirosyan-Tran van Trung 420 22768902 Martirosyan-Tran van Trung 442 22773127 Martirosyan-Tran van Trung 448 22979681 Martirosyan-Tran van Trung 450 23005012 Martirosyan-Tran van Trung 480 23009237 Martirosyan-Tran van Trung 512 23013475 Martirosyan-Tran van Trung 544 23120140 Martirosyan-Tran van Trung 546 23220299 Martirosyan-Tran van Trung 578 24702155 Martirosyan-Tran van Trung 580 26817375 Martirosyan-Tran van Trung 582 27993805 Martirosyan-Tran van Trung 584 29032633 Martirosyan-Tran van Trung 586 30482325 Martirosyan-Tran van Trung 610 30993075 Martirosyan-Tran van Trung 612 32256867 Martirosyan-Tran van Trung 614 34229477 Martirosyan-Tran van Trung 616 36248066 Power N-CT29^2Arc(9) 637 36458832 Power N-CT29^2Arc(8) 659 36669598 Power N-CT29^2Arc(7) 682 36880364 Power N-CT29^2Arc(6) 706 37091130 Power N-CT29^2Arc(5) 731 37301896 Power N-CT29^2Arc(4) 757 37512662 Power N-CT29^2Arc(3) 784 37723428 Power N-CT29^2T1T1 812 37934194 Power N-CT29^2T1 813 38138377 Power N-CT31^2Arc(2)T3 842 38144960 Power N-CT29^2+1 868 38196715 Power N-CT31^2T3 871 38349143 Power N-CT31^2Arc(3) 900 38378312 Power N-CT31^2T1T1 930 38407481 Power N-CT31^2T1 962 38436650 Power N-CT31^2+1 964 38577200 Power N-CT31^2+3 965 41255148 AZ1 1024 42280315 Power CT32^2 1026 42434920 Power CT32^2+2 1036 43252265 Martirosyan-Tran van Trung 1052 43264095 Martirosyan-Tran van Trung 1054 43288067 Martirosyan-Tran van Trung 1084 43312819 Martirosyan-Tran van Trung 1088 43349557 Martirosyan-Tran van Trung 1092 43533501 Martirosyan-Tran van Trung 1122 45291165 Martirosyan-Tran van Trung 1124 45315917 Martirosyan-Tran van Trung 1132 45390173 Martirosyan-Tran van Trung 1140 45402627 Martirosyan-Tran van Trung 1148 45526387 Martirosyan-Tran van Trung 1156 45538945 Martirosyan-Tran van Trung 1160 48017307 Martirosyan-Tran van Trung 1162 49193737 Martirosyan-Tran van Trung 1164 49218489 Martirosyan-Tran van Trung 1168 50308589 Martirosyan-Tran van Trung 1194 51407490 Power N-CT37^2Arc(5) 1220 52293783 Martirosyan-Tran van Trung 1227 52722440 Power N-CT37^2Arc(4) 1261 54037390 Power N-CT37^2Arc(3) 1296 55352340 Power N-CT37^2T1T1 1332 56667290 Power N-CT37^2T1 1369 57982240 Power N-CT37^2 1377 59118183 Power CT23^3T14T14T6 1530 59173829 Power CT23^3T14T13T6 1700 59229475 Power CT23^3T13T13T6 1734 59257781 Power CT23^3T17T6T6 1870 59289401 Power CT23^3T13T12T6 2023 59343705 Power CT23^3T16T6T6 2057 59349327 Power CT23^3T12T12T6 2312 59391685 Power CT23^3T15T6T6 2601 59443356 Power CT23^3T14T6T6 2890 59499002 Power CT23^3T13T6T6 3179 59558928 Power CT23^3T12T6T6 3468 59623464 Power CT23^3T11T6T6 3757 59692964 Power CT23^3T10T6T6 4046 59767810 Power CT23^3T9T6T6 4913 59768529 Power CT23^3T6T6T6 5202 60139808 Power CT23^3T6T6T5 5508 60511087 Power CT23^3T6T5T5 5832 60882366 Power CT23^3T5T5T5 6120 61567325 Power CT23^3T6T5T3 6156 61612914 Power CT23^3T5T5T4 6358 61830665 Power CT23^3T6T6T1 6647 61865670 Power CT23^3T6T6 6732 62201944 Power CT23^3T6T5T1 7038 62236949 Power CT23^3T6T5 7128 62573223 Power CT23^3T5T5T1 7452 62608228 Power CT23^3T5T5 7480 63258182 Power CT23^3T6T3T1 7820 63293187 Power CT23^3T6T3 7866 63338776 Power CT23^3T5T4 7920 63629461 Power CT23^3T5T3T1 8280 63664466 Power CT23^3T5T3 8602 63927806 Power CT23^3T6T1 8993 63962811 Power CT23^3T6 9108 64299085 Power CT23^3T5T1 9522 64334090 Power CT23^3T5 9614 65029633 Power CT23^3T4T1 10000 65064638 Power CT23^3T4

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