# Table for CAN(5,k,15) for k up to 10000

#### 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 2839709 CPHF Random Extension (CLS) fuse 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 53 4063214 4,4-Restricted SCPHF RE (CL) fuse 56 4128734 4-Restricted SCPHF RE (CL) fuse 64 4190174 3-Restricted SCPHF RE (CL) fuse 66 4194254 SCPHF Random Extension (CLS) 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 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 23238449 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 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 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 3284 36765237 Power N-CT67^2Arc(9)T11 3748 36826677 Power N-CT67^2Arc(9)T3 3806 36830757 Power N-CT67^2Arc(9)T2 3922 37748277 Power N-CT67^2Arc(9) 3981 38665797 Power N-CT67^2Arc(8) 4041 39583317 Power N-CT67^2Arc(7) 4102 40500837 Power N-CT67^2Arc(6) 4164 41418357 Power N-CT67^2Arc(5) 4227 42335877 Power N-CT67^2Arc(4) 4291 43253397 Power N-CT67^2Arc(3) 4356 44170917 Power N-CT67^2T1T1 4717 44957397 Power N-CT89^2T36 4984 45022917 Power N-CT89^2T33 5696 45084357 Power N-CT89^2T25 5874 45088437 Power N-CT89^2T23 5888 45542997 Power N-CT97^2T33T5 6072 45547077 Power N-CT97^2T31T5 6592 45608517 perfect hash family9,10609,103T39 6798 45612597 perfect hash family9,10609,103T37 7924 46005957 Power N-CT89^2+3 8029 46399077 Power N-CT97^2Trin5,5,5 8464 46464597 Power N-CT97^2T5T5 9476 46530117 perfect hash family9,10609,103T11 10000 46595637 Power N-CT101^2
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