Table for CAN(6,k,25) 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,25) 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 26 244140625 orthogonal array 28 387420485 orthogonal array fuse fuse 30 594823313 orthogonal array fuse fuse fuse fuse 31 732406225 3-Restricted SCPHF RE (CL) 36 732421873 CPHF IPO 3 (WCS) 43 957031225 5,5-Restricted SCPHF RE (CL) 49 966796825 5-Restricted SCPHF RE (CL) 54 976171825 4-Restricted SCPHF RE (CL) 55 976561825 2-Restricted SCPHF RE (CL) 56 976562425 SCPHF Random Extension (CLS) 76 1201171825 5,5-Restricted SCPHF RE (CL) 82 1210937425 5-Restricted SCPHF RE (CL) 91 1220312425 4-Restricted SCPHF RE (CL) 93 1220687425 3-Restricted SCPHF RE (CL) 95 1220702425 2-Restricted SCPHF RE (CL) 96 1220703121 CPHF Random Extension (CLS) 116 1435546825 5,5,5-Restricted SCPHF RE (CL) 132 1445312425 5,5-Restricted SCPHF RE (CL) 147 1455078025 5-Restricted SCPHF RE (CL) 161 1464453025 4-Restricted SCPHF RE (CL) 163 1464828025 3-Restricted SCPHF RE (CL) 166 1464843025 2-Restricted SCPHF RE (CL) 169 1464843625 SCPHF Random Extension (CLS) 265 1708984225 SCPHF Random Extension (CLS) 266 2645719225 Add 1 factors 267 3114094225 Add 2 factors 268 3573469225 Add 3 factors 269 3807844225 Add 4 factors 625 3906249625 perfect hash family16,625,25,c 626 3906249984 Power CT25^2+1 627 5049624984 Add 1 factors 628 5518359984 Add 2 factors 651 5768888164 Power CT27^2Arc(3) 676 5912168024 Power CT27^2T1T1 702 6055447884 Power CT27^2T1 730 6198727744 Power CT27^2+1 731 7576822744 Add 1 factors 732 8167237744 Add 2 factors 757 8300141196 Power N-CT29^2Arc(3) 784 8507544024 Power N-CT29^2T1T1 812 8714946852 Power N-CT29^2T1 842 8922349680 Power N-CT29^2+1 843 10300444680 Add 1 factors 871 10573344624 Power N-CT31^2Arc(3) 900 10710927536 Power N-CT31^2T1T1 930 10848510448 Power N-CT31^2T1 961 10986093360 Power N-CT31^2 966 10986328080 perfect hash family15,966,36 1136 11171904100 Martirosyan-TVT 1206 11181278500 Martirosyan-TVT 1207 11182027900 Martirosyan-TVT variant 1250 11182777876 Martirosyan-TVT 1251 11239373235 Martirosyan-TVT variant 1252 11295968235 Martirosyan-TVT 1254 12439343235 Martirosyan-TVT 1458 12674992485 perfect hash familyD16,1458,54^11 27^5 1484 13077654196 Power N-CT53^2T25 1548 13173827784 Power N-CT43^2T7 1590 13285057024 Power N-CT53^2T23 1692 13300780584 Power N-CT47^2T11 1849 13398437136 Power N-CT43^2 1908 13422655584 Power N-CT53^2T17 2021 13525389936 Power N-CT47^2T4 2211 13535155536 Power N-CT47^2+2 2221 13638280536 Power N-CT53^2Trin4,4,4 2279 13647264936 Power N-CT53^2T10 2401 13647655536 Power N-CT53^2T4T4 2597 13657030536 Power N-CT53^2T4 2810 13666405536 Power N-CT53^2+1 2811 13671865536 Power N-CT53^2+2 2812 13671873936 Power N-CT53^2+3 2916 15165233712 Power N-CT73^2T19T19 2970 15165623712 Power N-CT73^2T19T18 3024 15165624312 Power N-CT73^2T19T17 3025 15166013712 Power N-CT73^2T18T18 3080 15166014312 Power N-CT73^2T18T17 3136 15166014912 Power N-CT73^2T17T17 3139 15371093112 Power N-CT73^2T30 3204 15376170960 Power N-CT89^2T53 3577 15380858712 Power N-CT73^2T24 3942 15390233712 Power N-CT73^2T19 4015 15390623712 Power N-CT73^2T18 4088 15390624312 Power N-CT73^2T17 4097 15488280312 Power N-CT79^2Trin3,3,23 4104 15497655312 Power N-CT79^2T25T3 4180 15498045312 Power N-CT79^2T24T3 4256 15498045912 Power N-CT79^2T23T3 4266 15507420912 Power N-CT79^2T25 4345 15507810912 Power N-CT79^2T24 4424 15507811512 Power N-CT79^2T23 4430 15582811512 Power N-CT83^2Arc(4)T27 4483 15592186512 Power N-CT83^2Arc(3)T27 4537 15601561512 Power N-CT83^2Arc(2)T27 4592 15610936512 Power N-CT83^2T27T1 5332 15615233712 Power N-CT73^2+3 6966 15644531160 Power N-CT97^2Arc(13)T15 7722 15653906160 Power N-CT97^2Arc(13)T6 7890 15654281160 Power N-CT97^2Arc(13)T4 8058 15654296160 Power N-CT97^2Arc(13)T2 8141 15869139864 Power N-CT97^2Arc(12)T2 8226 15869140560 Power N-CT97^2Arc(13) 8311 16083984264 Power N-CT97^2Arc(12) 8397 16298827968 Power N-CT97^2Arc(11) 8484 16513671672 Power N-CT97^2Arc(10) 8572 16728515376 Power N-CT97^2Arc(9) 8661 16943359080 Power N-CT97^2Arc(8) 8751 17158202784 Power N-CT97^2Arc(7) 8842 17373046488 Power N-CT97^2Arc(6) 8934 17587890192 Power N-CT97^2Arc(5) 9027 17802733896 Power N-CT97^2Arc(4) 9121 18017577600 Power N-CT97^2Arc(3) 9351 18088839984 Power CT31^3T5S30 9662 18226422896 Power CT31^3T5S29 10000 18232119844 Power CT31^3T3S30

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