Table for CAN(5,k,23) 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,23) 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 24 6436343 orthogonal array 26 9765621 orthogonal array fuse fuse 28 14348899 orthogonal array fuse fuse fuse fuse 48 14758571 Martirosyan-Tran van Trung 52 20889375 Martirosyan-Tran van Trung 54 28582799 Martirosyan-Tran van Trung 56 28590987 Martirosyan-Tran van Trung 58 31778111 Martirosyan-Tran van Trung 60 31786299 Martirosyan-Tran van Trung 62 31806769 Martirosyan-Tran van Trung 64 31814957 Martirosyan-Tran van Trung 66 32150665 Martirosyan-Tran van Trung 68 32154759 Martirosyan-Tran van Trung 70 32167041 Martirosyan-Tran van Trung 72 32171135 Martirosyan-Tran van Trung 74 32523219 Martirosyan-Tran van Trung 76 32560065 Martirosyan-Tran van Trung 78 32568253 Martirosyan-Tran van Trung 80 32580535 Martirosyan-Tran van Trung 82 32707449 Martirosyan-Tran van Trung 84 32719731 Martirosyan-Tran van Trung 94 33112755 Martirosyan-Tran van Trung 96 37185571 Martirosyan-Tran van Trung 102 44637827 Martirosyan-Tran van Trung 104 47437393 Martirosyan-Tran van Trung 106 59752467 Martirosyan-Tran van Trung 108 59756735 Martirosyan-Tran van Trung 110 59764923 Martirosyan-Tran van Trung 112 60199005 Martirosyan-Tran van Trung 530 64363420 Power N23^2+1 531 82297578 Add a factor 553 97433986 Power 25^2S3 1058 98580176 Martirosyan-Tran van Trung 1060 99092248 Martirosyan-Tran van Trung 1062 117026406 Martirosyan-Tran van Trung 1128 124504902 Power N47^2T23 1222 127834180 Power N47^2T21 2116 128726840 Power 23^3Tlev 2210 132827130 Power N47^2+1 10000 135162743 perfect hash family21,12167,23,c

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