Table for CAN(5,k,22) for k up to 10000

Last Updated Sun Nov 22 06:43:43 MST 2009

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,22) 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 5153632 Derive from strength 6 7 6194819 Add a symbol 24 6436341 orthogonal array fuse 26 9765619 orthogonal array fuse fuse fuse 48 14324384 Martirosyan-Tran van Trung 50 19987690 Martirosyan-Tran van Trung 52 20301258 Martirosyan-Tran van Trung 54 27832371 Martirosyan-Tran van Trung 56 27843843 Martirosyan-Tran van Trung 58 30170439 Martirosyan-Tran van Trung 60 30476359 Martirosyan-Tran van Trung 62 30484007 Martirosyan-Tran van Trung 64 30487831 Martirosyan-Tran van Trung 66 30491655 Martirosyan-Tran van Trung 68 30801399 Martirosyan-Tran van Trung 70 30805223 Martirosyan-Tran van Trung 72 30809047 Martirosyan-Tran van Trung 74 30812871 Martirosyan-Tran van Trung 80 31134087 Martirosyan-Tran van Trung 82 31137911 Martirosyan-Tran van Trung 84 31382647 Martirosyan-Tran van Trung 90 31417063 Martirosyan-Tran van Trung 92 31497367 Martirosyan-Tran van Trung 94 31577671 Martirosyan-Tran van Trung 96 34324366 Martirosyan-Tran van Trung 100 42390051 Martirosyan-Tran van Trung 102 42703619 Martirosyan-Tran van Trung 104 44126579 Martirosyan-Tran van Trung 108 56426813 Martirosyan-Tran van Trung 112 56438285 Martirosyan-Tran van Trung 116 60325748 Martirosyan-Tran van Trung 120 60631668 Martirosyan-Tran van Trung 124 60639316 Martirosyan-Tran van Trung 128 60643140 Martirosyan-Tran van Trung 132 60646964 Martirosyan-Tran van Trung 136 60956708 Martirosyan-Tran van Trung 138 60960532 Martirosyan-Tran van Trung 140 61407748 Martirosyan-Tran van Trung 144 61411572 Martirosyan-Tran van Trung 148 63207704 Martirosyan-Tran van Trung 160 63528920 Martirosyan-Tran van Trung 164 63532744 Martirosyan-Tran van Trung 168 63777480 Martirosyan-Tran van Trung 180 63811896 Martirosyan-Tran van Trung 184 63892200 Martirosyan-Tran van Trung 188 63972504 Martirosyan-Tran van Trung 530 64363400 Power N23^2+1 531 80737142 Add a factor 1058 96918841 Martirosyan-Tran van Trung 1060 97407637 Martirosyan-Tran van Trung 1062 113781379 Martirosyan-Tran van Trung 1128 121031404 Power N47^2T23 1222 124360682 Power N47^2T21 2116 128726800 Power 23^3Tlev 2210 128919447 Power N47^2+1 3174 133880431 Power 23^3T17 3703 134921618 Power 23^3T16 10000 135162741 perfect hash family21,12167,23,c fuse

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