Table for CAN(5,k,22) for k up to 10000

Last Updated Tue Mar 8 20:11:31 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;5,k,22) 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 5153632 Derive from strength 6

7 6194819 Add a symbol

24 6436341 orthogonal array fuse

26 9765619 orthogonal array fuse fuse fuse

28 14348897 orthogonal array fuse fuse fuse fuse fuse

43 19029163 4-Restricted SCPHF RE (CL) fuse

46 19296837 3-Restricted SCPHF RE (CL) fuse

47 19308475 2-Restricted SCPHF RE (CL) fuse

48 19308981 SCPHF Random Extension (CLS) fuse

51 19309025 CPHF IPO 3 (WCS) fuse

72 25185665 4,4-Restricted SCPHF RE (CL) fuse

81 25465483 4-Restricted SCPHF RE (CL) fuse

87 25733157 3-Restricted SCPHF RE (CL) fuse

88 25744795 2-Restricted SCPHF RE (CL) fuse

90 25745301 SCPHF Random Extension (CLS) fuse

107 25745367 CPHF IPO 4 (WCS) fuse

136 31621985 4,4-Restricted SCPHF RE (CL) fuse

155 31901803 4-Restricted SCPHF RE (CL) fuse

171 32169477 3-Restricted SCPHF RE (CL) fuse

175 32181115 2-Restricted SCPHF RE (CL) fuse

178 32181621 SCPHF Random Extension (CLS) fuse

181 32181709 CPHF Random Extension (CLS) fuse

228 37778487 4,4,4-Restricted SCPHF RE (CL) fuse

259 38058305 4,4-Restricted SCPHF RE (CL) fuse

299 38338123 4-Restricted SCPHF RE (CL) fuse

332 38605797 3-Restricted SCPHF RE (CL) fuse

342 38617435 2-Restricted SCPHF RE (CL) fuse

344 38617941 SCPHF Random Extension (CLS) fuse

345 38618051 CPHF Random Extension (CLS) fuse

430 44214807 4,4,4-Restricted SCPHF RE (CL) fuse

493 44494625 4,4-Restricted SCPHF RE (CL) fuse

564 44774443 4-Restricted SCPHF RE (CL) fuse

648 45042117 3-Restricted SCPHF RE (CL) fuse

654 45053755 2-Restricted SCPHF RE (CL) fuse

656 45054261 SCPHF Random Extension (CLS) fuse

785 50651127 4,4,4-Restricted SCPHF RE (CL) fuse

786 71671203 Add 1 factors

787 83705379 Add 2 factors

788 92338487 Add 3 factors

789 94625415 Add 4 factors

790 95653696 Add 5 factors

791 99218525 Add 23 factors

796 99230163 Add 23 factors

799 99241801 Add 23 factors

807 99299991 Add 23 factors

808 99497837 Add 23 factors

809 113079927 Add 25 factors

810 113334927 Add 25 factors

860 121876002 Martirosyan-TVT

986 122155820 Martirosyan-TVT

1009 122435638 Martirosyan-TVT variant

1018 122484256 Martirosyan-TVT

1019 122506476 Martirosyan-TVT variant

1058 122528696 Martirosyan-TVT

1104 123037673 Martirosyan-TVT

1106 123283142 Martirosyan-TVT

2116 128726421 perfect hash family20,2116,23,c fuse

2117 128726800 perfect hash family20,2117,24

3174 133880431 Power CT23^3T17

3703 134921618 Power CT23^3T16

10000 135162741 perfect hash family21,12167,23,c fuse

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