Table for CAN(5,k,2) for k up to 10000

Last Updated Thu Nov 5 05:05:14 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,2) 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 32 orthogonal array 7 42 Johnson-Entringer 8 52 All tuples postop NCK 9 56 cross-sum (CKRS) 10 60 cross-sum (CKRS) 14 64 cross-sum (CKRS) 15 88 cross-sum (CKRS) 16 117 Density (Colbourn) postop NCK 17 121 Density (Colbourn) postop NCK 18 127 Density (Colbourn) postop NCK 19 133 Density (Linnemann-Frewer) postop NCK 35 134 Cyclic (Colbourn-Keri) 68 136 Cyclic (Colbourn-Keri) 72 144 Cyclic (Colbourn-Keri) 80 160 Cyclic (Colbourn-Keri) 84 168 Cyclic (Colbourn-Keri) 90 178 Cyclic (Colbourn-Keri) 98 194 Cyclic (Colbourn-Keri) 102 202 Cyclic (Colbourn-Keri) 103 206 Cyclic (Colbourn-Keri) 108 214 Cyclic (Colbourn-Keri) 110 218 Cyclic (Colbourn-Keri) 114 226 Cyclic (Colbourn-Keri) 128 254 Cyclic (Colbourn-Keri) 132 262 Cyclic (Colbourn-Keri) 138 274 Cyclic (Colbourn-Keri) 140 278 Cyclic (Colbourn-Keri) 150 298 Cyclic (Colbourn-Keri) 152 302 Cyclic (Colbourn-Keri) 158 314 Cyclic (Colbourn-Keri) 164 326 Cyclic (Colbourn-Keri) 168 334 Cyclic (Colbourn-Keri) 174 346 Cyclic (Colbourn-Keri) 180 358 Cyclic (Colbourn-Keri) 359 359 Derive from strength 6 378 379 Derive from strength 6 379 380 Cyclotomy (Colbourn) 431 431 Derive from strength 6 433 434 Cyclotomy (Colbourn) 463 463 Derive from strength 6 467 467 Derive from strength 6 487 487 Derive from strength 6 491 491 Derive from strength 6 499 499 Derive from strength 6 503 503 Derive from strength 6 509 509 Derive from strength 6 521 521 Derive from strength 6 523 523 Cyclotomy (Colbourn) 541 541 Cyclotomy (Colbourn) 547 547 Cyclotomy (Colbourn) 557 557 Cyclotomy (Colbourn) 563 563 Cyclotomy (Colbourn) 569 570 Cyclotomy (Colbourn) 571 571 Cyclotomy (Colbourn) 577 577 Cyclotomy (Colbourn) 587 587 Cyclotomy (Colbourn) 593 593 Cyclotomy (Colbourn) 599 599 Cyclotomy (Colbourn) 601 601 Cyclotomy (Colbourn) 607 607 Cyclotomy (Colbourn) 613 613 Cyclotomy (Colbourn) 617 617 Cyclotomy (Colbourn) 619 619 Cyclotomy (Colbourn) 631 631 Cyclotomy (Colbourn) 641 641 Cyclotomy (Colbourn) 643 643 Cyclotomy (Colbourn) 647 647 Cyclotomy (Colbourn) 653 653 Cyclotomy (Colbourn) 659 659 Cyclotomy (Colbourn) 661 661 Cyclotomy (Colbourn) 673 673 Cyclotomy (Colbourn) 677 677 Cyclotomy (Colbourn) 683 683 Cyclotomy (Colbourn) 691 691 Cyclotomy (Colbourn) 701 701 Cyclotomy (Colbourn) 709 709 Cyclotomy (Colbourn) 719 719 Cyclotomy (Colbourn) 727 727 Cyclotomy (Colbourn) 733 733 Cyclotomy (Colbourn) 739 739 Cyclotomy (Colbourn) 743 743 Cyclotomy (Colbourn) 751 751 Cyclotomy (Colbourn) 757 757 Cyclotomy (Colbourn) 761 761 Cyclotomy (Colbourn) 769 769 Cyclotomy (Colbourn) 773 773 Cyclotomy (Colbourn) 780 782 Power 13^3T7T3c 1014 786 Power 13^3,T7c 1183 796 Power 13^3,T6c 1352 807 Power 13^3T5 1521 811 Power 13^3T4 1690 815 Power 13^3T3 2198 819 Power 13^3+1 2380 938 Power 68^2,cT33c 4624 940 Power 68^2,c 4896 988 Power 72^2,cT4c 5184 996 Power 72^2,c 5440 1084 Power 80^2,cT12c 5760 1092 Power 80^2,cT8c 6400 1108 Power 80^2,c 6720 1156 Power 84^2,cT4c 7056 1164 Power 84^2,c 7200 1216 Power 90^2,cT10c 7560 1224 Power 90^2,cT6c 8100 1234 Power 90^2,c 8232 1320 Power 98^2,cT14c 8820 1330 Power 98^2,cT8c 9604 1346 Power 98^2,c 9898 1394 Power 101^2,cT3c 10000 1402 Power 100^2,c

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