Table for CAN(3,k,5) for k up to 10000

Last Updated Fri Nov 15 21:02:44 MST 2019

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;3,k,5) 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 6 125 orthogonal array 7 170 Torres Jimenez 10 185 Chateauneuf-Kreher NRB 12 225 Chateauneuf-Kreher doubling 24 245 SCPHF (Sherwood-Martirosyan-Colbourn) 31 249 Raaphorst-Moura-Stevens 36 349 Restricted CPHF Sim Annealing (TJ-IM) 52 365 SCPHF Sim Annealing (TJ-IM) 55 373 Restricted CPHF Sim Annealing (TJ-IM) 82 404 Torres Jimenez 96 465 Restricted CPHF Sim Annealing (TJ-IM) 99 469 Restricted CPHF Sim Annealing (TJ-IM) 104 473 Restricted CPHF Sim Annealing (TJ-IM) 118 485 Restricted CPHF Sim Annealing (TJ-IM) 128 497 Restricted CPHF Sim Annealing (TJ-IM) 155 529 Colbourn-Martirosyan-TVT-Walker 156 544 Cohen-Colbourn-Ling 170 565 Path-Restricted SCPHF RE (CLS) 175 569 Restricted CPHF Sim Annealing (TJ-IM) 187 573 Restricted CPHF Sim Annealing (TJ-IM) 193 585 Restricted CPHF Sim Annealing (TJ-IM) 236 597 Restricted CPHF Sim Annealing (TJ-IM) 240 605 Restricted CPHF Sim Annealing (TJ-IM) 298 621 Restricted CPHF Sim Annealing (TJ-IM) 301 665 Path-Restricted SCPHF RE (CLS) 351 673 Restricted CPHF Sim Annealing (TJ-IM) 380 697 Restricted CPHF Sim Annealing (TJ-IM) 500 721 Restricted CPHF Sim Annealing (TJ-IM) 618 745 Restricted CPHF Sim Annealing (TJ-IM) 632 797 Restricted CPHF Sim Annealing (TJ-IM) 700 805 Restricted CPHF Sim Annealing (TJ-IM) 720 812 Cohen-Colbourn-Ling 756 816 Cohen-Colbourn-Ling 781 840 Cohen-Colbourn-Ling 1000 845 Restricted CPHF Sim Annealing (TJ-IM) 1288 869 Restricted CPHF Sim Annealing (TJ-IM) 1301 921 Restricted CPHF Sim Annealing (TJ-IM) 1400 925 Restricted CPHF Sim Annealing (TJ-IM) 2000 965 Restricted CPHF Sim Annealing (TJ-IM) 2496 993 Restricted CPHF Sim Annealing (TJ-IM) 3557 1085 Restricted CPHF Sim Annealing (TJ-IM) 4000 1093 Restricted CPHF Sim Annealing (TJ-IM) 5000 1117 Restricted CPHF Sim Annealing (TJ-IM) 5478 1185 Restricted CPHF Sim Annealing (TJ-IM) 6769 1205 Restricted CPHF Sim Annealing (TJ-IM) 10000 1241 Restricted CPHF Sim Annealing (TJ-IM)

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