Table for CAN(6,k,20) 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;6,k,20) 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).

Go to Global Menu.

Change t: -

Change v: - +

k N Source 7 64000000 composition 24 148035886 fuse symbols 26 244140620 fuse symbols 28 387420482 fuse symbols 29 589365402 extend by one factor 31 592143541 perfect hash family 48 710367139 Martirosyan-Tran van Trung 49 965611999 extend by one factor 50 1082885385 Martirosyan-Tran van Trung 52 1083666625 Martirosyan-Tran van Trung 53 1405946525 extend by one factor 54 1589638021 Martirosyan-Tran van Trung 56 1686359009 Martirosyan-Tran van Trung 57 1776430621 perfect hash family 62 1924466506 perfect hash family 115 2220538276 perfect hash family 530 2368574161 Power 24^2 531 2886400161 extend by one factor 532 3413071041 extend by one factor 626 3906249905 Power 26^2 627 4608983905 extend by one factor 628 5311717905 extend by one factor 629 6014451905 extend by one factor 730 6198727697 Power 28^2 731 7033512837 extend by one factor 735 7253758366 perfect hash family 1058 7638069159 Martirosyan-Tran van Trung 1060 7685738407 Martirosyan-Tran van Trung 1062 8459419547 Martirosyan-Tran van Trung 1064 9241945567 Martirosyan-Tran van Trung 1104 9780020595 Martirosyan-Tran van Trung 2210 9945139933 linear hash family 2211 11155784973 extend by one factor 2212 12366430013 extend by one factor 2213 13577075053 extend by one factor 2214 14787720093 extend by one factor 2401 15449791969 Power 49^2 2402 16669980709 extend by one factor 2404 17338665985 Power 52^2 4805 17764306201 perfect hash family 6477 18208413856 perfect hash family 10000 18356449741 perfect hash family

Graph: