Table for CAN(5,k,17) for k up to 10000

Last Updated Sat Nov 16 07:54:02 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;5,k,17) 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 18 1419857 orthogonal array 20 2476095 orthogonal array fuse fuse 21 2839713 CPHF Random Extension (CLS) 34 4176033 4-Restricted SCPHF RE (CL) 37 4254641 3-Restricted SCPHF RE (CL) 39 4259265 2-Restricted SCPHF RE (CL) 56 5512369 4,4-Restricted SCPHF RE (CL) 61 5595873 4-Restricted SCPHF RE (CL) 68 5674481 3-Restricted SCPHF RE (CL) 70 5679105 2-Restricted SCPHF RE (CL) 97 6932209 4,4-Restricted SCPHF RE (CL) 112 7015713 4-Restricted SCPHF RE (CL) 120 7094321 3-Restricted SCPHF RE (CL) 128 7098945 2-Restricted SCPHF RE (CL) 157 8268545 4,4,4-Restricted SCPHF RE (CL) 181 8352049 4,4-Restricted SCPHF RE (CL) 199 8435553 4-Restricted SCPHF RE (CL) 217 8514161 3-Restricted SCPHF RE (CL) 219 8518785 2-Restricted SCPHF RE (CL) 223 8519057 SCPHF Random Extension (CLS) 228 8519137 CPHF Random Extension (CLS) 278 9688385 4,4,4-Restricted SCPHF RE (CL) 309 9771889 4,4-Restricted SCPHF RE (CL) 358 9855393 4-Restricted SCPHF RE (CL) 400 9934001 3-Restricted SCPHF RE (CL) 407 9938625 2-Restricted SCPHF RE (CL) 408 9938993 CPHF Random Extension (CLS) 480 11108225 4,4,4-Restricted SCPHF RE (CL) 555 11191729 4,4-Restricted SCPHF RE (CL) 620 11275233 4-Restricted SCPHF RE (CL) 663 11353841 3-Restricted SCPHF RE (CL) 718 11358465 2-Restricted SCPHF RE (CL) 721 11358737 SCPHF Random Extension (CLS) 722 16542241 Add 1 factors 723 19678353 4-Restricted SCPHF RE (CL) fuse fuse 838 19801815 3-Restricted SCPHF RE (CL) fuse fuse 851 19808313 2-Restricted SCPHF RE (CL) fuse fuse 852 25065801 Add 1 factors 853 28912969 Add 2 factors 854 30249305 Add 3 factors 855 31579143 Add 17 factors 868 31585641 Add 17 factors 928 33825696 perfect hash family3,928,620 950 33982912 perfect hash family3,993,663T43 977 33992160 perfect hash family3,1074,717T97 979 33992704 perfect hash family3,1080,721T101 993 34061520 perfect hash family3,993,663 1020 34070768 perfect hash family3,1074,717T54 1022 34071312 perfect hash family3,1080,721T58 1075 34075392 perfect hash family3,1075,718 1077 34075936 perfect hash family3,1080,721T3 1080 34076208 perfect hash family3,1080,721 1081 39407680 Add 1 factors 1102 40839584 perfect hash family9,1312,40S7 1130 42092688 perfect hash family9,1312,40S6 1156 42389184 Power N-CT37^2T3T3 1258 42467792 Power N-CT37^2T3 1369 42546400 Power N-CT37^2 1371 42592640 Power N-CT37^2+2 1390 43749904 perfect hash family4,3125,625T347 1545 43833408 perfect hash family4,3125,625T316 1790 43916912 perfect hash family4,3125,625T267 2000 43995520 perfect hash family4,3125,625T225 2035 44000144 perfect hash family4,3125,625T218 2040 44000512 perfect hash family4,3125,625T217 2400 45169744 perfect hash family4,3125,625T145 2775 45253248 perfect hash family4,3125,625T70 3100 45336752 perfect hash family4,3125,625T5 3125 45415360 perfect hash family4,3125,625 3508 49692096 Power N-CT71^2Arc(9)T15 3818 49775600 Power N-CT71^2Arc(9)T10 4252 49854208 Power N-CT71^2Arc(9)T3 4314 49858832 Power N-CT71^2Arc(9)T2 4490 51070320 Power N-CT67^2+1 4492 51111936 Power N-CT67^2+3 4501 52365040 Power N-CT71^2Arc(8) 4565 53618144 Power N-CT71^2Arc(7) 4630 54871248 Power N-CT71^2Arc(6) 4696 56124352 Power N-CT71^2Arc(5) 4763 57377456 Power N-CT71^2Arc(4) 4831 58630560 Power N-CT71^2Arc(3) 4900 59883664 Power N-CT71^2T1T1 5432 60970032 Power N-CT97^2T41 5917 61053536 Power N-CT97^2T36 6596 61132144 Power N-CT97^2T29 6790 61136768 Power N-CT97^2T27 7412 61800176 perfect hash family9,11881,109T41 7630 61804800 perfect hash family9,11881,109T39 9409 62389872 Power N-CT97^2 10000 63057904 perfect hash family9,11449,107T10

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