Table for CAN(5,k,15) 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,15) 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 759375 Derive from strength 6 7 860625 Ji-Li-Yin 17 1048574 orthogonal array fuse 18 1419853 orthogonal array fuse fuse 20 2093054 3-Restricted SCPHF RE (CL) fuse 21 2097149 CPHF IPO 2 (WCS) fuse 33 3080174 4-Restricted SCPHF RE (CL) fuse 36 3141614 3-Restricted SCPHF RE (CL) fuse 38 3145454 2-Restricted SCPHF RE (CL) fuse 39 3145724 CPHF IPO 3 (WCS) fuse 53 4063214 4,4-Restricted SCPHF RE (CL) fuse 56 4128734 4-Restricted SCPHF RE (CL) fuse 62 4186094 3,3-Restricted SCPHF RE (CL) fuse 64 4190174 3-Restricted SCPHF RE (CL) fuse 66 4194254 SCPHF Random Extension (CLS) fuse 73 4194299 CPHF IPO 4 (WCS) fuse 92 5111774 4,4-Restricted SCPHF RE (CL) fuse 103 5177294 4-Restricted SCPHF RE (CL) fuse 111 5238734 3-Restricted SCPHF RE (CL) fuse 119 5242574 2-Restricted SCPHF RE (CL) fuse 145 5242874 CPHF IPO 5 (WCS) fuse 146 6094814 4,4,4-Restricted SCPHF RE (CL) fuse 165 6160334 4,4-Restricted SCPHF RE (CL) fuse 185 6225854 4-Restricted SCPHF RE (CL) fuse 197 6287294 3-Restricted SCPHF RE (CL) fuse 206 6291134 2-Restricted SCPHF RE (CL) fuse 207 6291374 SCPHF Random Extension (CLS) fuse 210 6291449 CPHF Random Extension (CLS) fuse 248 7143374 4,4,4-Restricted SCPHF RE (CL) fuse 284 7208894 4,4-Restricted SCPHF RE (CL) fuse 336 7274414 4-Restricted SCPHF RE (CL) fuse 360 7335854 3-Restricted SCPHF RE (CL) fuse 376 7339694 2-Restricted SCPHF RE (CL) fuse 379 7339934 SCPHF Random Extension (CLS) fuse 454 8191934 4,4,4-Restricted SCPHF RE (CL) fuse 515 8257454 4,4-Restricted SCPHF RE (CL) fuse 582 8322974 4-Restricted SCPHF RE (CL) fuse 641 8384414 3-Restricted SCPHF RE (CL) fuse 650 8388254 2-Restricted SCPHF RE (CL) fuse 656 8388494 SCPHF Random Extension (CLS) fuse 766 9240494 4,4,4-Restricted SCPHF RE (CL) fuse 767 12620234 Add 1 factors 768 14746484 Add 2 factors 769 15455234 Add 3 factors 770 16362211 Add 4 factors 771 16456711 Add 5 factors 782 17599694 Add 16 factors 783 19254718 Add 17 factors 838 19801811 3-Restricted SCPHF RE (CL) fuse fuse fuse fuse 851 19808309 2-Restricted SCPHF RE (CL) fuse fuse fuse fuse 852 23188049 Add 1 factors 871 24968919 perfect hash family3,871,582 901 25091799 perfect hash family3,960,641T59 905 25099479 perfect hash family3,972,649T67 908 25099959 perfect hash family3,981,655T73 960 25153239 perfect hash family3,960,641 964 25160919 perfect hash family3,972,649T8 967 25161399 perfect hash family3,981,655T14 973 25164759 perfect hash family3,973,650 976 25165239 perfect hash family3,981,655T5 982 25165479 perfect hash family3,982,656 1022 26865399 perfect hash family3,1146,765T124 1031 26869239 perfect hash family3,1146,765T115 1037 26869479 perfect hash family3,1146,765T109 1147 27721479 perfect hash family3,1147,766 1148 31151619 Add 1 factors 1156 31381570 Power N-CT37^2Arc(2)T4 1188 31385410 Power N-CT37^2T4T1 1221 31389250 Power N-CT37^2T4 1227 31439170 Power N-CT37^2Arc(4) 1261 31443010 Power N-CT37^2Arc(3) 1296 31446850 Power N-CT37^2T1T1 1332 31450690 Power N-CT37^2T1 1370 31454530 Power N-CT37^2+1 1371 31457230 Power N-CT37^2+2 1420 32362132 perfect hash family4,3125,625T341 1680 32427652 perfect hash family4,3125,625T289 1800 32489092 perfect hash family4,3125,625T265 1880 32492932 perfect hash family4,3125,625T249 1895 32493172 perfect hash family4,3125,625T246 2270 33345172 perfect hash family4,3125,625T171 2575 33410692 perfect hash family4,3125,625T110 2910 33476212 perfect hash family4,3125,625T43 3125 33537652 perfect hash family4,3125,625 3233 37551957 Power N-CT61^2T8 3242 37609347 Power N-CT67^2Trin3,3,14 3286 37609392 Power N-CT67^2T14T5 3342 37613427 Power N-CT67^2Trin1,3,14 3392 37613472 Power N-CT67^2T14T3 3395 37617462 Power N-CT67^2Arc(3)T14 3416 37617477 Power N-CT61^2T5 3446 37617507 Power N-CT67^2Arc(2)T14 3498 37617552 Power N-CT67^2T14T1 3869 37617597 Power N-CT73^2T20 4088 37683117 Power N-CT73^2T17 4096 37740432 Power N-CT67^2T3T3 4526 37740477 Power N-CT73^2T11 4672 37744557 Power N-CT73^2T9 4818 37748637 Power N-CT73^2T7 5329 37748682 Power N-CT73^2 5330 42432942 Add 1 factors 5331 44697792 Add 2 factors 5518 45080277 Power N-CT89^2T27 5696 45084357 Power N-CT89^2T25 5874 45088437 Power N-CT89^2T23 6497 45088482 Power N-CT89^2T16 6716 45547122 Power N-CT97^2T24T5 6798 45612597 perfect hash family9,10609,103T37 7519 45612642 perfect hash family9,10609,103T30 7924 46005957 Power N-CT89^2+3 7957 46104162 perfect hash family9,11881,109T36 8249 46134882 perfect hash family9,12769,113T40 8732 46137282 perfect hash family9,14986,126T53 9476 46530117 perfect hash family9,10609,103T11 10000 46595637 Power N-CT101^2

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