Table for CAN(6,k,4) for k up to 10000

Last Updated Sat Nov 16 19:19:53 MST 2019

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,4) 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 7 4096 orthogonal array 8 5632 CPHF 3-stage (IM-TJ-AJ-AG) 9 7128 CPHF 3-stage (IM-TJ-AJ-AG) 11 7936 CPHF 3-stage (IM-TJ-AJ-AG) 12 8188 CPHF 3-stage (IM-TJ-AJ-AG) 13 12028 4-Restricted SCPHF RE (CL) 14 12223 CPHF 3-stage (IM-TJ-AJ-AG) 15 14527 CPHF 3-stage (IM-TJ-AJ-AG) 16 16120 4-Restricted SCPHF RE (CL) 17 16372 CPHF 3-stage (IM-TJ-AJ-AG) 18 16381 CPHF Sim Annealing (TJ-IM) 19 19568 CPHF 3-stage (IM-TJ-AJ-AG) 20 20404 3-Restricted SCPHF RE (CL) 21 21034 CPHF 3-stage (IM-TJ-AJ-AG) 22 21512 CPHF 3-stage (IM-TJ-AJ-AG) 23 22548 CPHF 3-stage (IM-TJ-AJ-AG) 24 23499 CPHF 3-stage (IM-TJ-AJ-AG) 25 24305 CPHF 3-stage (IM-TJ-AJ-AG) 30 27241 CPHF 3-stage (IM-TJ-AJ-AG) 35 30054 CPHF 3-stage (IM-TJ-AJ-AG) 40 32407 CPHF 3-stage (IM-TJ-AJ-AG) 45 35245 CPHF 3-stage (IM-TJ-AJ-AG) 50 36902 CPHF 3-stage (IM-TJ-AJ-AG) 55 38751 CPHF 3-stage (IM-TJ-AJ-AG) 60 39782 CPHF 3-stage (IM-TJ-AJ-AG) 65 41988 CPHF 3-stage (IM-TJ-AJ-AG) 70 43113 CPHF 3-stage (IM-TJ-AJ-AG) 75 43981 CPHF 3-stage (IM-TJ-AJ-AG) 80 45345 CPHF 3-stage (IM-TJ-AJ-AG) 85 46260 CPHF 3-stage (IM-TJ-AJ-AG) 90 46814 CPHF 3-stage (IM-TJ-AJ-AG) 100 49521 CPHF 3-stage (IM-TJ-AJ-AG) 150 55432 CPHF 3-stage (IM-TJ-AJ-AG) 210 60720 CPHF 3-stage (IM-TJ-AJ-AG) 224 61942 CPHF 3-stage (IM-TJ-AJ-AG) 225 84118 Add 1 factors 250 90294 CPHF 3-stage (IM-TJ-AJ-AG) 300 92609 CPHF 3-stage (IM-TJ-AJ-AG) 301 114785 Add 1 factors 302 132833 Add 2 factors 303 142049 Add 3 factors 304 145121 Add 4 factors 305 167297 Add 4 factors 306 184798 Add 6 factors 307 194561 Add 4 factors 308 197633 Add 4 factors 309 219809 Add 4 factors 320 234359 Restricted CPHF Sim Annealing (TJ-IM) fuse 332 242876 perfect hash family4,332,210 339 246542 perfect hash family4,353,224T14 353 247764 perfect hash family4,353,224 410 249983 Restricted CPHF Sim Annealing (TJ-IM) fuse 550 265607 Restricted CPHF Sim Annealing (TJ-IM) fuse 640 281231 Restricted CPHF Sim Annealing (TJ-IM) fuse 720 296855 Restricted CPHF Sim Annealing (TJ-IM) fuse 721 332039 Add 1 factors 722 354119 Add 2 factors 723 364487 Add 3 factors 724 367559 Add 4 factors 725 378424 Power CT29^2T4 842 381360 Power CT29^2+1 843 409490 Power CT31^2Arc(4) 871 412303 Power CT31^2Arc(3) 900 415116 Power CT31^2T1T1 960 417929 Power CT32^2T2 1027 420742 Power CT32^2+3 1039 441919 Power CT37^2Arc(10):5 twos,0 ones 1097 444272 Power CT37^2Arc(8):4 twos,0 ones 1159 446625 Power CT37^2Arc(6):3 twos,0 ones 1225 448978 Power CT37^2T2T2 1295 451331 Power CT37^2T2 1372 453684 Power CT37^2+3 1381 470712 Power CT41^2Arc(8) 1415 473550 Power CT41^2Arc(7) 1450 476388 Power CT41^2Arc(6) 1486 479226 Power CT41^2Arc(5) 1523 482064 Power CT41^2Arc(4) 1561 484902 Power CT41^2Arc(3) 1600 487740 Power CT41^2T1T1 1720 490578 Power CT43^2T3 1851 493416 Power CT43^2+2 1857 509986 Power CT47^2Arc(8):4 twos,0 ones 1939 511643 Power CT47^2Arc(6):3 twos,0 ones 1960 512119 Power CT49^2T9 2025 513300 Power CT47^2T2T2 2205 514957 Power CT49^2T4 2402 516614 Power CT49^2+1 2500 538802 Power CT53^2T3T3 2650 540651 Power CT53^2T3 2811 542500 Power CT53^2+2 2964 549432 Power N-CT67^2Trin7,7,12 3229 550463 Power N-CT67^2Trin7,7,7 3494 552669 Power N-CT67^2Trin2,7,7 3600 553794 Power N-CT67^2T7T7 3784 554875 Power N-CT67^2Trin2,2,7 3900 556000 Power N-CT67^2T7T2 4099 557081 Power N-CT67^2Trin2,2,2 4225 558206 Power N-CT67^2T2T2 4355 559331 Power N-CT67^2T2 4492 560456 Power N-CT67^2+3 4501 564796 Power N-CT71^2Arc(8) 4565 565664 Power N-CT71^2Arc(7) 4630 566532 Power N-CT71^2Arc(6) 4696 567400 Power N-CT71^2Arc(5) 4763 568268 Power N-CT71^2Arc(4) 4831 569136 Power N-CT71^2Arc(3) 4900 570004 Power N-CT71^2T1T1 5110 570872 Power N-CT73^2T3 5331 571740 Power N-CT73^2+2 5341 585380 Power N-CT79^2Trin4,4,4 5625 586744 Power N-CT79^2T4T4 5925 588108 Power N-CT79^2T4 6242 589472 Power N-CT79^2+1 6400 599537 Power N-CT83^2T3T3 6640 600452 Power N-CT83^2T3 6891 601367 Power N-CT83^2+2 6901 606907 Power N-CT89^2Trin4,4,4 7120 607100 Power N-CT89^2T9 7225 607461 Power N-CT89^2T4T4 7565 608015 Power N-CT89^2T4 7922 608569 Power N-CT89^2+1 7998 635142 Power N-CT101^2Arc(13)T11 8790 637849 Power N-CT101^2Arc(13)T2 9412 643760 Power N-CT97^2+3 9421 673315 Power N-CT101^2Arc(8) 9515 679226 Power N-CT101^2Arc(7) 9610 685137 Power N-CT101^2Arc(6) 9706 691048 Power N-CT101^2Arc(5) 9803 696959 Power N-CT101^2Arc(4) 9901 702870 Power N-CT101^2Arc(3) 10000 708781 Power N-CT101^2T1T1

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