Table for CAN(3,k,4) for k up to 10000

Last Updated Sun Jun 26 08:57:56 MST 2022

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,4) 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).

Change t: - + Change v: - + or go to Global Menu.

k N Source 6 64 orthogonal array 8 88 Chateauneuf-Kreher NRB 10 100 Torres Jimenez 11 110 Torres Jimenez 12 120 Torres Jimenez 18 124 Torres Jimenez 21 127 Raaphorst-Moura-Stevens 22 136 CPHF 3-stage (IM-TJ-AJ-AG) 38 152 Cyclotomy (Colbourn) 39 186 CPHF 3-stage (IM-TJ-AJ-AG) 41 190 CPHF 3-stage (IM-TJ-AJ-AG) 46 191 CPHF 3-stage (IM-TJ-AJ-AG) 50 192 CPHF 3-stage (IM-TJ-AJ-AG) 52 211 CPHF 3-stage (IM-TJ-AJ-AG) 54 212 Cyclotomy (Colbourn) 55 227 CPHF 3-stage (IM-TJ-AJ-AG) 59 232 CPHF 3-stage (IM-TJ-AJ-AG) 69 235 CPHF 3-stage (IM-TJ-AJ-AG) 73 244 CPHF 3-stage (IM-TJ-AJ-AG) 76 247 Torres Jimenez 79 250 CPHF 3-stage (IM-TJ-AJ-AG) 98 253 CPHF 3-stage (IM-TJ-AJ-AG) 99 269 CPHF 3-stage (IM-TJ-AJ-AG) 100 272 CPHF 3-stage (IM-TJ-AJ-AG) 101 277 CPHF 3-stage (IM-TJ-AJ-AG) 102 280 CPHF 3-stage (IM-TJ-AJ-AG) 103 281 CPHF 3-stage (IM-TJ-AJ-AG) 104 282 CPHF 3-stage (IM-TJ-AJ-AG) 105 283 CPHF 3-stage (IM-TJ-AJ-AG) 106 284 CPHF 3-stage (IM-TJ-AJ-AG) 126 286 CPHF 3-stage (IM-TJ-AJ-AG) 129 287 CPHF 3-stage (IM-TJ-AJ-AG) 130 288 CPHF 3-stage (IM-TJ-AJ-AG) 140 290 CPHF 3-stage (IM-TJ-AJ-AG) 152 292 CPHF 3-stage (IM-TJ-AJ-AG) 154 298 Cohen-Colbourn-Ling 162 316 CPHF 3-stage (IM-TJ-AJ-AG) 191 326 Cohen-Colbourn-Ling 197 333 CPHF 3-stage (IM-TJ-AJ-AG) 200 334 CPHF 3-stage (IM-TJ-AJ-AG) 230 349 CPHF 3-stage (IM-TJ-AJ-AG) 240 361 CPHF 3-stage (IM-TJ-AJ-AG) 266 364 CPHF 3-stage (IM-TJ-AJ-AG) 279 370 CPHF 3-stage (IM-TJ-AJ-AG) 286 373 CPHF 3-stage (IM-TJ-AJ-AG) 304 376 CPHF 3-stage (IM-TJ-AJ-AG) 325 379 CPHF 3-stage (IM-TJ-AJ-AG) 338 389 CPHF 3-stage (IM-TJ-AJ-AG) 339 395 CPHF 3-stage (IM-TJ-AJ-AG) 343 397 Restricted CPHF Ext 7( 3, 4) WCS 360 400 CPHF 3-stage (IM-TJ-AJ-AG) 366 403 CPHF 3-stage (IM-TJ-AJ-AG) 390 404 CPHF 3-stage (IM-TJ-AJ-AG) 397 405 CPHF 3-stage (IM-TJ-AJ-AG) 400 406 CPHF 3-stage (IM-TJ-AJ-AG) 407 412 Restricted CPHF Ext 7( 2, 3) WCS 415 415 CPHF 3-stage (IM-TJ-AJ-AG) 432 416 CPHF 3-stage (IM-TJ-AJ-AG) 441 417 CPHF 3-stage (IM-TJ-AJ-AG) 442 418 CPHF 3-stage (IM-TJ-AJ-AG) 443 421 Restricted CPHF Ext 7( 1, 4) WCS 490 424 CPHF 3-stage (IM-TJ-AJ-AG) 516 427 CPHF 3-stage (IM-TJ-AJ-AG) 522 433 Restricted CPHF Ext 7( 0, 4) WCS 541 436 Restricted CPHF Ext 7( 0, 3) WCS 560 439 Restricted CPHF Ext 7( 0, 2) WCS 624 442 CPHF 3-stage (IM-TJ-AJ-AG) 675 445 CPHF 3-stage (IM-TJ-AJ-AG) 762 460 CPHF 3-stage (IM-TJ-AJ-AG) 779 471 CPHF 3-stage (IM-TJ-AJ-AG) 798 472 CPHF 3-stage (IM-TJ-AJ-AG) 816 475 Restricted CPHF Ext 8( 2, 3) WCS 827 478 Restricted CPHF Ext 9( 6, 7) WCS 837 481 Restricted CPHF Ext 8( 1, 5) WCS 884 484 Restricted CPHF Ext 8( 0, 8) WCS 911 487 Restricted CPHF Ext 8( 0, 7) WCS 940 490 Restricted CPHF Ext 9( 5, 7) WCS 978 493 Restricted CPHF Ext 8( 0, 5) WCS 1001 496 Restricted CPHF Ext 8( 0, 4) WCS 1032 499 Restricted CPHF Ext 8( 0, 3) WCS 1067 502 Restricted CPHF Ext 8( 0, 2) WCS 1160 505 Restricted CPHF Ext 8( 0, 0) WCS 1183 514 Restricted CPHF Ext 9( 3, 7) WCS 1202 517 Restricted CPHF Ext 9( 3, 6) WCS 1235 520 Restricted CPHF Ext 9( 3, 5) WCS 1291 523 Restricted CPHF Ext 10( 7, 9) WCS 1323 526 Restricted CPHF Ext 10( 7, 8) WCS 1353 529 Restricted CPHF Ext 9( 2, 6) WCS 1396 532 Restricted CPHF Ext 9( 2, 5) WCS 1491 535 Restricted CPHF Ext 9( 2, 4) WCS 1530 538 Restricted CPHF Ext 9( 2, 3) WCS 1539 541 Restricted CPHF Ext 10( 6, 7) WCS 1652 544 Restricted CPHF Ext 9( 0, 9) WCS 1666 547 Restricted CPHF Ext 9( 0, 8) WCS 1696 550 Restricted CPHF Ext 9( 0, 7) WCS 1754 553 Restricted CPHF Ext 9( 0, 6) WCS 1810 556 Restricted CPHF Ext 10( 5, 6) WCS 1868 559 Restricted CPHF Ext 9( 0, 4) WCS 1938 562 Restricted CPHF Ext 9( 0, 3) WCS 2016 565 Restricted CPHF Ext 9( 0, 2) WCS 2120 568 Restricted CPHF Ext 9( 0, 0) WCS 2148 574 Restricted CPHF Ext 11( 8, 9) WCS 2179 577 Restricted CPHF Ext 10( 3, 7) WCS 2225 580 Restricted CPHF Ext 11( 7,11) WCS 2272 583 Restricted CPHF Ext 10( 3, 5) WCS 2372 586 Restricted CPHF Ext 11( 7, 9) WCS 2407 589 Restricted CPHF Ext 10( 2, 7) WCS 2480 592 Restricted CPHF Ext 10( 2, 6) WCS 2549 595 Restricted CPHF Ext 10( 2, 5) WCS 2626 598 Restricted CPHF Ext 10( 2, 4) WCS 2730 601 Restricted CPHF Ext 11( 6, 8) WCS 2871 604 Restricted CPHF Ext 10( 0,10) WCS 2921 607 Restricted CPHF Ext 10( 0, 9) WCS 2985 610 Restricted CPHF Ext 10( 0, 8) WCS 3062 613 Restricted CPHF Ext 11( 5, 8) WCS 3134 616 Restricted CPHF Ext 11( 5, 7) WCS 3269 619 Restricted CPHF Ext 11( 5, 6) WCS 3422 622 Restricted CPHF Ext 10( 0, 4) WCS 3498 625 Restricted CPHF Ext 10( 0, 3) WCS 3591 628 Restricted CPHF Ext 10( 0, 2) WCS 3969 631 CPHF IPO 10 (WCS) 4093 646 Restricted CPHF Ext 11( 3, 5) WCS 4237 649 Restricted CPHF Ext 11( 3, 4) WCS 4346 652 Restricted CPHF Ext 11( 1,11) WCS 4426 655 Restricted CPHF Ext 11( 2, 6) WCS 4601 658 Restricted CPHF Ext 11( 2, 5) WCS 4728 661 Restricted CPHF Ext 11( 2, 4) WCS 5184 664 Restricted CPHF Ext 11( 0,11) WCS 5193 667 Restricted CPHF Ext 11( 0,10) WCS 5261 670 Restricted CPHF Ext 11( 0, 9) WCS 5366 673 Restricted CPHF Ext 11( 0, 8) WCS 5495 676 Restricted CPHF Ext 12( 4,12) WCS 5712 679 Restricted CPHF Ext 11( 0, 6) WCS 5935 682 Restricted CPHF Ext 11( 0, 5) WCS 6158 685 Restricted CPHF Ext 11( 0, 4) WCS 6335 688 Restricted CPHF Ext 11( 0, 3) WCS 6465 691 Restricted CPHF Ext 11( 0, 2) WCS 7523 694 CPHF IPO 11 (WCS) 7684 712 Restricted CPHF Ext 12( 3, 4) WCS 7911 715 Restricted CPHF Ext 12( 2, 7) WCS 8064 718 Restricted CPHF Ext 12( 2, 6) WCS 8348 721 Restricted CPHF Ext 12( 2, 5) WCS 8892 724 Restricted CPHF Ext 12( 0,12) WCS 8983 727 Restricted CPHF Ext 12( 2, 3) WCS 9301 730 Restricted CPHF Ext 13( 6, 7) WCS 9648 733 Restricted CPHF Ext 12( 0, 9) WCS 9895 736 Restricted CPHF Ext 12( 0, 8) WCS 10000 739 Restricted CPHF Ext 12( 0, 7) WCS

Graph: