Table for CAN(5,k,8) 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,8) 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).

Change t: - + Change v: - + or go to Global Menu.

k N Source 9 32768 orthogonal array 10 53681 orthogonal array fuse postop NCK 13 61440 4-Restricted SCPHF RE (CL) 15 65024 3-Restricted SCPHF RE (CL) 22 94200 4-Restricted SCPHF RE (CL) 23 97784 3-Restricted SCPHF RE (CL) 24 98302 CPHF IPO 3 (WCS) 30 122872 4,4-Restricted SCPHF RE (CL) 31 126456 4,3-restricted SCPHF RE (CL) 33 126960 4-Restricted SCPHF RE (CL) 35 130040 3,3-Restricted SCPHF RE (CL) 36 130992 2-Restricted SCPHF RE (CL) 37 131069 CPHF IPO 4 (WCS) 45 155632 4,4-Restricted SCPHF RE (CL) 48 159216 4,3-restricted SCPHF RE (CL) 50 159664 4,2-restricted SCPHF RE (CL) 53 162800 3,3-Restricted SCPHF RE (CL) 54 163248 3,2-restricted SCPHF RE (CL) 55 163304 3-Restricted SCPHF RE (CL) 60 163836 CPHF IPO 5 (WCS) 66 187888 SCPHF CLS - other 67 188392 4,4-Restricted SCPHF RE (CL) 74 192480 4-Restricted SCPHF RE (CL) 82 196064 3-Restricted SCPHF RE (CL) 83 196568 SCPHF Random Extension (CLS) 95 196603 CPHF IPO 6 (WCS) 99 221152 4,4-Restricted SCPHF RE (CL) 109 225240 4-Restricted SCPHF RE (CL) 116 228824 3-Restricted SCPHF RE (CL) 122 229272 2-Restricted SCPHF RE (CL) 123 229328 SCPHF Random Extension (CLS) 156 229370 CPHF IPO 7 (WCS) 163 258000 4-Restricted SCPHF RE (CL) 183 261584 3-Restricted SCPHF RE (CL) 184 262032 2-Restricted SCPHF RE (CL) 185 262088 SCPHF Random Extension (CLS) 246 262137 CPHF IPO 8 (WCS) 252 290760 4-Restricted SCPHF RE (CL) 278 294344 3-Restricted SCPHF RE (CL) 283 294848 SCPHF Random Extension (CLS) 320 315344 4,4,4-Restricted SCPHF RE (CL) 343 319432 4,4-Restricted SCPHF RE (CL) 371 323520 4-Restricted SCPHF RE (CL) 417 327104 3-Restricted SCPHF RE (CL) 427 327552 2-Restricted SCPHF RE (CL) 429 327608 SCPHF Random Extension (CLS) 430 327671 CPHF Random Extension (CLS) 473 348104 4,4,4-Restricted SCPHF RE (CL) 510 352192 4,4-Restricted SCPHF RE (CL) 569 356280 4-Restricted SCPHF RE (CL) 595 359864 3-Restricted SCPHF RE (CL) 604 360312 2-Restricted SCPHF RE (CL) 622 360368 SCPHF Random Extension (CLS) 675 380864 4,4,4-Restricted SCPHF RE (CL) 749 384952 4,4-Restricted SCPHF RE (CL) 812 389040 4-Restricted SCPHF RE (CL) 813 531000 Add 1 factors 814 616120 Add 2 factors 815 644792 Add 3 factors 818 648727 3-Restricted SCPHF RE (CL) fuse 820 673464 Add 8 factors 821 793824 Add 9 factors 822 900936 Add 8 factors 823 929608 Add 8 factors 824 933543 Add 8 factors 826 933935 Add 8 factors 828 958672 Add 8 factors 834 1052053 Martirosyan-Colbourn 854 1052501 Martirosyan-Colbourn 858 1052557 Martirosyan-Colbourn 860 1052620 Martirosyan-Colbourn 946 1073053 Martirosyan-Colbourn 982 1077141 Martirosyan-Colbourn 1020 1101543 Martirosyan-Colbourn 1068 1105631 Martirosyan-Colbourn 1138 1106023 Martirosyan-Colbourn 1148 1109607 Martirosyan-Colbourn 1190 1112351 Martirosyan-Colbourn 1208 1112799 Martirosyan-Colbourn 1244 1112855 Martirosyan-Colbourn 1262 1133351 Martirosyan-Colbourn 1320 1133743 Martirosyan-Colbourn 1348 1134135 Martirosyan-Colbourn 1350 1134478 Martirosyan-Colbourn 1498 1138566 Martirosyan-Colbourn 1624 1142654 Martirosyan-Colbourn 1626 1284614 Martirosyan-Colbourn 1628 1369734 Martirosyan-Colbourn 1630 1398406 Martirosyan-Colbourn 1851 1400679 Power N-CT43^2+2 1908 1417619 Power N-CT61^2Arc(9)T25 1960 1417696 Power N-CT61^2Arc(9)T24 2025 1425767 Power N-CT47^2T2T2 2115 1429351 Power N-CT47^2T2 2210 1432935 Power N-CT47^2+1 2212 1436967 Power N-CT47^2+3 2376 1442259 Power N-CT61^2Arc(9)T16 2532 1445843 Power N-CT61^2Arc(9)T13 2636 1446291 Power N-CT61^2Arc(9)T11 2792 1449427 Power N-CT61^2Arc(9)T8 2844 1449875 Power N-CT61^2Arc(9)T7 2896 1449931 Power N-CT61^2Arc(9)T6 3104 1450463 Power N-CT61^2Arc(9)T2 3127 1473479 Power N-CT59^2T6 3186 1473927 Power N-CT59^2T5 3245 1473983 Power N-CT59^2T4 3482 1474515 Power N-CT59^2+1 3483 1594775 Power N-CT61^2Arc(4) 3541 1618827 Power N-CT61^2Arc(3) 3600 1642879 Power N-CT61^2T1T1 3660 1666931 Power N-CT61^2T1 3675 1667939 Power N-CT67^2Arc(6)T7 3730 1668443 Power N-CT67^2Arc(5)T7 3786 1668947 Power N-CT67^2Arc(4)T7 3843 1669451 Power N-CT67^2Arc(3)T7 3901 1669955 Power N-CT67^2Arc(2)T7 3960 1670459 Power N-CT67^2T7T1 4020 1670963 Power N-CT67^2T7 4041 1691991 Power N-CT67^2Arc(7) 4102 1692495 Power N-CT67^2Arc(6) 4164 1692999 Power N-CT67^2Arc(5) 4227 1693503 Power N-CT67^2Arc(4) 4291 1694007 Power N-CT67^2Arc(3) 4356 1694511 Power N-CT67^2T1T1 4422 1695015 Power N-CT67^2T1 4489 1695519 Power N-CT67^2 4818 1727719 Power N-CT73^2T7 4891 1728223 Power N-CT73^2T6 5330 1732311 Power N-CT73^2+1 5340 1736651 Power N-CT89^2T29 5476 1757399 Power N-CT79^2T5T5 5494 1760423 Power N-CT83^2T16T1 5512 1760479 Power N-CT83^2Arc(9)T9 5874 1760703 Power N-CT89^2T23 5963 1761207 Power N-CT89^2T22 5995 1764007 Power N-CT83^2Arc(2)T9 6030 1764063 Power N-CT83^2Arc(9)T2 6068 1764511 Power N-CT83^2T9T1 6244 1764567 Power N-CT79^2+3 6253 1765071 Power N-CT83^2Arc(8) 6586 1765295 Power N-CT89^2T15 6643 1767591 Power N-CT83^2Arc(3) 6724 1768095 Power N-CT83^2T1T1 6806 1768599 Power N-CT83^2T1 7298 1768879 Power N-CT89^2T7 7387 1769383 Power N-CT89^2T6 7927 1769418 perfect hash family9,7927,95 7935 1818516 perfect hash family9,8536,96S7 8018 1843065 perfect hash family9,8536,96S6 8102 1867614 perfect hash family9,8536,96S5 8187 1892163 perfect hash family9,8536,96S4 8839 1916712 Power N-CT97^2Trin2,2,2 9025 1941261 Power N-CT97^2T2T2 9215 1965810 Power N-CT97^2T2 9219 1990338 Power N-CT101^2Trin2,2,6 9411 1990359 Power N-CT97^2+2 10000 1998514 perfect hash family9,11449,107T12

Graph: