Table for CAN(6,k,13) for k up to 10000

Last Updated Wed Mar 9 06:22:05 MST 2022

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;6,k,13) 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 14 4826809 orthogonal array 15 9253764 extended OA (Colbourn) 16 9651421 3-Restricted SCPHF RE (CL) 20 14109121 5-Restricted SCPHF RE (CL) 22 14451853 4-Restricted SCPHF RE (CL) 23 14480401 SCPHF Random Extension (CLS) 25 14480425 CPHF IPO 3 (WCS) 29 18564637 5,5-Restricted SCPHF RE (CL) 30 18935917 5-Restricted SCPHF RE (CL) 33 19278649 4-Restricted SCPHF RE (CL) 34 19307041 2-Restricted SCPHF RE (CL) 39 19307233 CPHF IPO 4 (WCS) 41 23391433 5,5-Restricted SCPHF RE (CL) 49 23762713 5-Restricted SCPHF RE (CL) 51 24105445 4-Restricted SCPHF RE (CL) 52 24131809 3-Restricted SCPHF RE (CL) 53 24133837 2-Restricted SCPHF RE (CL) 54 24133993 SCPHF Random Extension (CLS) 56 24134041 CPHF IPO 5 (WCS) 59 27846949 5,5,5-Restricted SCPHF RE (CL) 65 28218229 5,5-Restricted SCPHF RE (CL) 71 28589509 5-Restricted SCPHF RE (CL) 77 28932241 4-Restricted SCPHF RE (CL) 81 28958605 3-Restricted SCPHF RE (CL) 82 28960849 CPHF Random Extension (CLS) 91 32673745 5,5,5-Restricted SCPHF RE (CL) 102 33045025 5,5-Restricted SCPHF RE (CL) 111 33416305 5-Restricted SCPHF RE (CL) 121 33759037 4-Restricted SCPHF RE (CL) 124 33785401 3-Restricted SCPHF RE (CL) 200 38614381 SCPHF Random Extension (CLS) 202 38614465 CPHF Random Extension (CLS) 250 43441177 SCPHF Random Extension (CLS) 251 65661973 Add 1 factors 252 82261153 Add 2 factors 253 92094925 Add 3 factors 254 96550441 Add 4 factors 256 97769269 Add 13 factors 257 100975537 Add 13 factors 263 101005957 Add 13 factors 264 123251089 Add 13 factors 265 139850269 Add 13 factors 266 149974045 Add 13 factors 267 154455925 Add 13 factors 315 154457520 perfect hash family4,315,200 317 154457856 perfect hash family4,317,202 346 168937908 perfect hash family4,396,250T50 348 168937992 perfect hash family4,396,250T48 396 173764704 perfect hash family4,396,250 444 193071900 perfect hash family5,444,200 446 193072236 perfect hash family5,450,202T2 450 193072320 perfect hash family5,450,202 478 212379084 perfect hash family5,570,246T46 482 212379168 perfect hash family5,570,246T44 574 217205880 perfect hash family5,574,250 575 231686760 Power CT25^2T2 625 231686784 Power CT25^2 642 255820260 perfect hash family6,730,244T44 646 255820344 perfect hash family6,730,244T42 736 260647056 perfect hash family6,736,250 781 270301248 perfect hash family14,1107,40S14 801 274385448 perfect hash family14,1107,40S13 841 278469540 Power N-CT29^2 842 282553848 perfect hash family14,1107,40S11 850 284781480 Power N-CT37^2T12T3 851 284781648 Power N-CT37^2T14 925 284781672 Power N-CT37^2T12 930 288836988 Power N-CT31^2T1 957 288837300 Power N-CT37^2T8T4 986 288865692 Power N-CT37^2T8T3 1073 288865884 Power N-CT37^2T8 1110 289237164 Power N-CT37^2T7 1122 289579704 Power N-CT37^2T4T3 1221 289579896 Power N-CT37^2T4 1258 289608288 Power N-CT37^2T3 1371 289608480 Power N-CT37^2+2 1447 315227448 Power N-CT41^2Trin2,2,2 1521 319311648 Power N-CT41^2T2T2 1599 323395848 Power N-CT41^2T2 1681 327480048 Power N-CT41^2 1833 328222488 Power N-CT47^2T8 1927 332306688 Power N-CT47^2T6 2211 332677968 Power N-CT47^2+2 2221 336760332 Power N-CT53^2Trin4,4,4 2311 337103064 Power N-CT53^2Trin2,4,4 2356 337129428 Power N-CT53^2Trin1,4,4 2401 337131456 Power N-CT53^2T4T4 2405 337445796 Power N-CT53^2Trin2,2,4 2452 337472160 Power N-CT53^2Trin1,2,4 2499 337474188 Power N-CT53^2T4T2 2500 337498524 Power N-CT53^2Arc(2)T4 2548 337500552 Power N-CT53^2T4T1 2597 337502580 Power N-CT53^2T4 2601 337816920 Power N-CT53^2T2T2 2602 337841256 Power N-CT53^2Arc(2)T2 2652 337843284 Power N-CT53^2T2T1 2703 337845312 Power N-CT53^2T2 2704 337869648 Power N-CT53^2T1T1 2756 337871676 Power N-CT53^2T1 2809 337873704 Power N-CT53^2 2810 337875888 Power N-CT53^2+1 2812 337876560 Power N-CT53^2+3 2824 365808708 Power N-CT73^2Trin8,17,17 2842 366177756 Power N-CT73^2Trin2,17,21 2896 366179784 Power N-CT73^2Trin2,17,20 2950 366179940 Power N-CT73^2Trin2,17,19 3058 366179988 Power N-CT73^2Trin2,17,17 3136 366522720 Power N-CT73^2T17T17 3142 369892848 Power N-CT73^2Trin8,8,19 3256 369892896 Power N-CT73^2Trin8,8,17 3304 370235628 Power N-CT73^2T17T14 3355 370263972 Power N-CT73^2Trin2,8,20 3418 370264128 Power N-CT73^2Trin2,8,19 3544 370264176 Power N-CT73^2Trin2,8,17 3640 370606908 Power N-CT73^2T17T8 3661 370635252 Power N-CT73^2Trin2,2,20 3730 370635408 Power N-CT73^2Trin2,2,19 3868 370635456 Power N-CT73^2Trin2,2,17 3976 370978188 Power N-CT73^2T17T2 4088 371320920 Power N-CT73^2T17 4204 371584560 Power N-CT79^2Trin2,2,23 4312 371610924 Power N-CT79^2T23T2 4424 371637288 Power N-CT79^2T23 5748 372775884 Power N-CT83^2Arc(13)T2 5779 376382760 Power N-CT79^2Trin2,2,2 5929 376409124 Power N-CT79^2T2T2 6083 376435488 Power N-CT79^2T2 6243 376461852 Power N-CT79^2+2 6244 376491024 Power N-CT79^2+3 6253 395055504 Power N-CT83^2Arc(8) 6329 398768400 Power N-CT83^2Arc(7) 6406 402481296 Power N-CT83^2Arc(6) 6484 406194192 Power N-CT83^2Arc(5) 6563 409907088 Power N-CT83^2Arc(4) 6643 413619984 Power N-CT83^2Arc(3) 6724 417332880 Power N-CT83^2T1T1 6853 421017168 Power N-CT89^2T12 7209 421043532 Power N-CT89^2T8 7298 421045776 Power N-CT89^2T7 7923 424758672 Power N-CT89^2+2 8181 425498892 Power N-CT101^2T20 8282 425501136 Power N-CT101^2T19 9191 429214032 Power N-CT101^2T10 10000 429585312 Power N-CT101^2

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