Table for CAN(5,k,6) for k up to 10000

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,6) 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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bytes used=90002840, alloc=52026056, time=28.32 k N Source 6 7776 composition 7 14712 IPOG-F (NIST) 8 16314 paintball (Kuhn) 9 19350 paintball (Kuhn) 10 22458 paintball (Kuhn) 11 27151 IPOG-F (NIST) 12 27983 Martirosyan-Tran van Trung 13 29793 Greedy (density) (Colbourn) 14 34309 IPOG-F (NIST) 15 36429 IPOG-F (NIST) 16 37658 Martirosyan-Tran van Trung 17 40334 IPOG-F (NIST) 18 42102 IPOG-F (NIST) 19 43833 IPOG-F (NIST) 20 45425 IPOG-F (NIST) 21 46970 IPOG-F (NIST) 22 48479 IPOG-F (NIST) 23 49924 IPOG-F (NIST) 24 51287 IPOG-F (NIST) 25 52604 IPOG-F (NIST) 26 53850 IPOG-F (NIST) 27 55069 IPOG-F (NIST) 28 56225 IPOG-F (NIST) 29 57363 IPOG-F (NIST) 30 58468 IPOG-F (NIST) 31 59529 IPOG-F (NIST) 32 60570 IPOG-F (NIST) 33 61562 IPOG-F (NIST) 34 62527 IPOG-F (NIST) 35 63471 IPOG-F (NIST) 36 64399 IPOG-F (NIST) 37 65292 IPOG-F (NIST) 38 66157 IPOG-F (NIST) 39 66997 IPOG-F (NIST) 40 67808 IPOG-F (NIST) 41 68609 IPOG-F (NIST) 42 69386 IPOG-F (NIST) 43 70148 IPOG-F (NIST) 44 70908 IPOG-F (NIST) 45 71645 IPOG-F (NIST) 46 72361 IPOG-F (NIST) 47 98041 extend by one factor 48 103461 Martirosyan-Tran van Trung 50 105775 Martirosyan-Tran van Trung 52 107741 Martirosyan-Tran van Trung 54 109892 Martirosyan-Tran van Trung 56 111553 Martirosyan-Tran van Trung 58 112691 Martirosyan-Tran van Trung 60 113796 Martirosyan-Tran van Trung 62 116907 Martirosyan-Tran van Trung 64 118513 Martirosyan-Tran van Trung 66 120337 Martirosyan-Tran van Trung 68 121832 Martirosyan-Tran van Trung 70 123603 Martirosyan-Tran van Trung 72 125081 Martirosyan-Tran van Trung 74 126479 Martirosyan-Tran van Trung 76 127854 Martirosyan-Tran van Trung 78 129184 Martirosyan-Tran van Trung 80 130470 Martirosyan-Tran van Trung 82 132013 Martirosyan-Tran van Trung 84 133260 Martirosyan-Tran van Trung 86 134699 Martirosyan-Tran van Trung 88 135879 Martirosyan-Tran van Trung 90 137051 Martirosyan-Tran van Trung 92 138192 Martirosyan-Tran van Trung 94 164282 Martirosyan-Tran van Trung 96 170097 Martirosyan-Tran van Trung 98 173088 Martirosyan-Tran van Trung 100 173438 Martirosyan-Tran van Trung 102 176031 Martirosyan-Tran van Trung 104 176451 Martirosyan-Tran van Trung 108 178762 Martirosyan-Tran van Trung 110 181323 Martirosyan-Tran van Trung 112 181653 Martirosyan-Tran van Trung 114 183675 Martirosyan-Tran van Trung 116 183995 Martirosyan-Tran van Trung 118 185440 Martirosyan-Tran van Trung 120 185765 Martirosyan-Tran van Trung 122 189206 Martirosyan-Tran van Trung 124 189486 Martirosyan-Tran van Trung 126 191407 Martirosyan-Tran van Trung 128 191732 Martirosyan-Tran van Trung 130 193811 Martirosyan-Tran van Trung 132 194136 Martirosyan-Tran van Trung 134 196440 Martirosyan-Tran van Trung 136 196730 Martirosyan-Tran van Trung 138 198776 Martirosyan-Tran van Trung 140 199076 Martirosyan-Tran van Trung 142 200814 Martirosyan-Tran van Trung 144 201079 Martirosyan-Tran van Trung 146 203261 Martirosyan-Tran van Trung 148 203556 Martirosyan-Tran van Trung 150 205176 Martirosyan-Tran van Trung 152 205446 Martirosyan-Tran van Trung 154 207001 Martirosyan-Tran van Trung 156 207266 Martirosyan-Tran van Trung 158 208792 Martirosyan-Tran van Trung 160 209017 Martirosyan-Tran van Trung 162 211334 Martirosyan-Tran van Trung 164 212370 Martirosyan-Tran van Trung 166 213867 Martirosyan-Tran van Trung 168 214087 Martirosyan-Tran van Trung 170 215746 Martirosyan-Tran van Trung 172 215961 Martirosyan-Tran van Trung 174 217386 Martirosyan-Tran van Trung 176 217606 Martirosyan-Tran van Trung 178 219018 Martirosyan-Tran van Trung 180 219485 Martirosyan-Tran van Trung 182 221108 Martirosyan-Tran van Trung 184 221323 Martirosyan-Tran van Trung 186 247598 Martirosyan-Tran van Trung 188 247813 Martirosyan-Tran van Trung 190 253833 Martirosyan-Tran van Trung 192 254028 Martirosyan-Tran van Trung 194 257496 Martirosyan-Tran van Trung 196 257701 Martirosyan-Tran van Trung 198 258518 Martirosyan-Tran van Trung 200 259015 Martirosyan-Tran van Trung 202 261783 Martirosyan-Tran van Trung 204 261923 Martirosyan-Tran van Trung 206 262573 Martirosyan-Tran van Trung 208 262758 Martirosyan-Tran van Trung 210 265249 Martirosyan-Tran van Trung 212 265444 Martirosyan-Tran van Trung 214 265629 Martirosyan-Tran van Trung 216 266056 Martirosyan-Tran van Trung 218 268777 Martirosyan-Tran van Trung 220 268962 Martirosyan-Tran van Trung 222 269482 Martirosyan-Tran van Trung 224 269652 Martirosyan-Tran van Trung 226 271854 Martirosyan-Tran van Trung 228 272014 Martirosyan-Tran van Trung 230 272776 Martirosyan-Tran van Trung 232 272926 Martirosyan-Tran van Trung 234 274541 Martirosyan-Tran van Trung 236 274696 Martirosyan-Tran van Trung 238 275186 Martirosyan-Tran van Trung 240 275366 Martirosyan-Tran van Trung 242 279486 Martirosyan-Tran van Trung 244 279656 Martirosyan-Tran van Trung 246 280101 Martirosyan-Tran van Trung 248 280251 Martirosyan-Tran van Trung 250 282332 Martirosyan-Tran van Trung 252 282457 Martirosyan-Tran van Trung 254 282962 Martirosyan-Tran van Trung 256 283112 Martirosyan-Tran van Trung 258 285321 Martirosyan-Tran van Trung 260 285491 Martirosyan-Tran van Trung 262 286233 Martirosyan-Tran van Trung 264 286383 Martirosyan-Tran van Trung 266 288862 Martirosyan-Tran van Trung 268 288977 Martirosyan-Tran van Trung 270 289684 Martirosyan-Tran van Trung 272 290096 Martirosyan-Tran van Trung 274 292282 Martirosyan-Tran van Trung 276 292427 Martirosyan-Tran van Trung 278 292867 Martirosyan-Tran van Trung 280 293012 Martirosyan-Tran van Trung 282 294870 Martirosyan-Tran van Trung 284 294995 Martirosyan-Tran van Trung 286 295677 Martirosyan-Tran van Trung 288 295807 Martirosyan-Tran van Trung 290 298119 Martirosyan-Tran van Trung 292 298284 Martirosyan-Tran van Trung 294 298714 Martirosyan-Tran van Trung 296 298839 Martirosyan-Tran van Trung 298 300594 Martirosyan-Tran van Trung 300 300689 Martirosyan-Tran van Trung 302 301119 Martirosyan-Tran van Trung 304 301244 Martirosyan-Tran van Trung 306 303201 Martirosyan-Tran van Trung 308 303855 Martirosyan-Tran van Trung 310 304230 Martirosyan-Tran van Trung 312 304360 Martirosyan-Tran van Trung 314 306016 Martirosyan-Tran van Trung 316 306136 Martirosyan-Tran van Trung 318 306481 Martirosyan-Tran van Trung 320 306591 Martirosyan-Tran van Trung 322 309028 Martirosyan-Tran van Trung 324 309148 Martirosyan-Tran van Trung 326 310319 Martirosyan-Tran van Trung 328 326369 Martirosyan-Tran van Trung 332 339611 Martirosyan-Tran van Trung 336 339831 Martirosyan-Tran van Trung 340 341490 Martirosyan-Tran van Trung 342 341705 Martirosyan-Tran van Trung 344 342229 Martirosyan-Tran van Trung 348 343654 Martirosyan-Tran van Trung 352 343874 Martirosyan-Tran van Trung 356 345286 Martirosyan-Tran van Trung 360 345753 Martirosyan-Tran van Trung 364 347376 Martirosyan-Tran van Trung 368 347591 Martirosyan-Tran van Trung 372 373866 Martirosyan-Tran van Trung 376 374081 Martirosyan-Tran van Trung 380 380101 Martirosyan-Tran van Trung 384 380296 Martirosyan-Tran van Trung 388 383764 Martirosyan-Tran van Trung 392 383969 Martirosyan-Tran van Trung 396 385048 Martirosyan-Tran van Trung 400 385545 Martirosyan-Tran van Trung 404 388313 Martirosyan-Tran van Trung 408 388715 Martirosyan-Tran van Trung 412 389365 Martirosyan-Tran van Trung 416 389550 Martirosyan-Tran van Trung 420 392041 Martirosyan-Tran van Trung 424 400301 Martirosyan-Tran van Trung 428 400486 Martirosyan-Tran van Trung 432 400913 Martirosyan-Tran van Trung 434 403634 Martirosyan-Tran van Trung 436 404199 Martirosyan-Tran van Trung 440 404384 Martirosyan-Tran van Trung 444 404904 Martirosyan-Tran van Trung 448 405074 Martirosyan-Tran van Trung 452 409576 Martirosyan-Tran van Trung 456 409736 Martirosyan-Tran van Trung 460 410498 Martirosyan-Tran van Trung 464 410648 Martirosyan-Tran van Trung 468 412263 Martirosyan-Tran van Trung 472 412418 Martirosyan-Tran van Trung 476 412908 Martirosyan-Tran van Trung 480 413088 Martirosyan-Tran van Trung 484 419258 Martirosyan-Tran van Trung 488 419428 Martirosyan-Tran van Trung 492 419873 Martirosyan-Tran van Trung 496 420023 Martirosyan-Tran van Trung 500 422669 Martirosyan-Tran van Trung 504 422794 Martirosyan-Tran van Trung 508 423299 Martirosyan-Tran van Trung 512 423449 Martirosyan-Tran van Trung 516 426938 Martirosyan-Tran van Trung 520 427278 Martirosyan-Tran van Trung 524 428961 Martirosyan-Tran van Trung 528 429261 Martirosyan-Tran van Trung 532 431915 Martirosyan-Tran van Trung 536 432145 Martirosyan-Tran van Trung 540 433007 Martirosyan-Tran van Trung 544 433569 Martirosyan-Tran van Trung 548 435895 Martirosyan-Tran van Trung 552 436185 Martirosyan-Tran van Trung 556 436765 Martirosyan-Tran van Trung 560 437055 Martirosyan-Tran van Trung 564 439033 Martirosyan-Tran van Trung 568 439283 Martirosyan-Tran van Trung 572 440120 Martirosyan-Tran van Trung 576 440380 Martirosyan-Tran van Trung 580 443084 Martirosyan-Tran van Trung 584 443414 Martirosyan-Tran van Trung 588 443979 Martirosyan-Tran van Trung 592 444229 Martirosyan-Tran van Trung 596 446119 Martirosyan-Tran van Trung 600 446309 Martirosyan-Tran van Trung 604 448489 Martirosyan-Tran van Trung 608 448614 Martirosyan-Tran van Trung 612 450833 Martirosyan-Tran van Trung 616 451487 Martirosyan-Tran van Trung 620 451862 Martirosyan-Tran van Trung 624 451992 Martirosyan-Tran van Trung 628 453648 Martirosyan-Tran van Trung 632 453768 Martirosyan-Tran van Trung 636 454113 Martirosyan-Tran van Trung 640 454223 Martirosyan-Tran van Trung 644 456660 Martirosyan-Tran van Trung 648 456780 Martirosyan-Tran van Trung 652 457951 Martirosyan-Tran van Trung 656 474001 Martirosyan-Tran van Trung 664 487243 Martirosyan-Tran van Trung 672 487463 Martirosyan-Tran van Trung 680 489384 Martirosyan-Tran van Trung 684 489599 Martirosyan-Tran van Trung 686 490123 Martirosyan-Tran van Trung 688 493063 Martirosyan-Tran van Trung 696 494488 Martirosyan-Tran van Trung 700 494708 Martirosyan-Tran van Trung 704 496728 Martirosyan-Tran van Trung 712 498140 Martirosyan-Tran van Trung 720 498607 Martirosyan-Tran van Trung 728 500492 Martirosyan-Tran van Trung 736 500707 Martirosyan-Tran van Trung 744 526982 Martirosyan-Tran van Trung 752 527197 Martirosyan-Tran van Trung 756 533217 Martirosyan-Tran van Trung 760 541647 Martirosyan-Tran van Trung 768 541842 Martirosyan-Tran van Trung 776 545310 Martirosyan-Tran van Trung 784 545515 Martirosyan-Tran van Trung 792 553259 Martirosyan-Tran van Trung 800 554018 Martirosyan-Tran van Trung 808 557151 Martirosyan-Tran van Trung 816 557553 Martirosyan-Tran van Trung 824 563938 Martirosyan-Tran van Trung 826 564123 Martirosyan-Tran van Trung 832 564148 Martirosyan-Tran van Trung 840 566799 Martirosyan-Tran van Trung 841 573621 linear hash family 848 575059 Martirosyan-Tran van Trung 856 575244 Martirosyan-Tran van Trung 864 575671 Martirosyan-Tran van Trung 868 579554 Martirosyan-Tran van Trung 872 580119 Martirosyan-Tran van Trung 880 580304 Martirosyan-Tran van Trung 888 581154 Martirosyan-Tran van Trung 896 581324 Martirosyan-Tran van Trung 904 590456 Martirosyan-Tran van Trung 912 590616 Martirosyan-Tran van Trung 920 591698 Martirosyan-Tran van Trung 928 591848 Martirosyan-Tran van Trung 936 593803 Martirosyan-Tran van Trung 944 593958 Martirosyan-Tran van Trung 961 595281 linear hash family 968 604303 Martirosyan-Tran van Trung 976 604473 Martirosyan-Tran van Trung 984 605198 Martirosyan-Tran van Trung 992 605348 Martirosyan-Tran van Trung 1000 608309 Martirosyan-Tran van Trung 1008 608434 Martirosyan-Tran van Trung 1016 612674 Martirosyan-Tran van Trung 1022 612824 Martirosyan-Tran van Trung 1024 613119 Martirosyan-Tran van Trung 1032 616608 Martirosyan-Tran van Trung 1036 616948 Martirosyan-Tran van Trung 1040 617193 Martirosyan-Tran van Trung 1681 617473 linear hash family 1682 624466 linear hash family 1849 631324 linear hash family 1850 638164 linear hash family 1851 644797 linear hash family 1852 651241 linear hash family 1853 733771 extend by one factor 1856 810125 Martirosyan-Tran van Trung 1862 812080 Martirosyan-Tran van Trung 1872 812195 Martirosyan-Tran van Trung 1876 812350 Martirosyan-Tran van Trung 1888 812505 Martirosyan-Tran van Trung 1890 814090 Martirosyan-Tran van Trung 1904 814240 Martirosyan-Tran van Trung 1918 814380 Martirosyan-Tran van Trung 1920 814525 Martirosyan-Tran van Trung 1922 814787 Martirosyan-Tran van Trung 1932 823809 Martirosyan-Tran van Trung 1936 823949 Martirosyan-Tran van Trung 1946 824119 Martirosyan-Tran van Trung 1952 824264 Martirosyan-Tran van Trung 1960 824989 Martirosyan-Tran van Trung 1968 825109 Martirosyan-Tran van Trung 1974 825259 Martirosyan-Tran van Trung 1984 825384 Martirosyan-Tran van Trung 1988 828345 Martirosyan-Tran van Trung 2000 828500 Martirosyan-Tran van Trung 2002 828625 Martirosyan-Tran van Trung 2016 828755 Martirosyan-Tran van Trung 2030 833125 Martirosyan-Tran van Trung 2032 833290 Martirosyan-Tran van Trung 2044 833440 Martirosyan-Tran van Trung 2048 833870 Martirosyan-Tran van Trung 2058 837621 Martirosyan-Tran van Trung 2064 837746 Martirosyan-Tran van Trung 2072 838086 Martirosyan-Tran van Trung 2080 838466 Martirosyan-Tran van Trung 2086 838746 Martirosyan-Tran van Trung 2100 838841 Martirosyan-Tran van Trung 2114 841821 Martirosyan-Tran van Trung 2128 841946 Martirosyan-Tran van Trung 2142 842086 Martirosyan-Tran van Trung 2156 842216 Martirosyan-Tran van Trung 2160 842326 Martirosyan-Tran van Trung 2170 842588 Martirosyan-Tran van Trung 2184 842718 Martirosyan-Tran van Trung 2198 842848 Martirosyan-Tran van Trung 2212 842968 Martirosyan-Tran van Trung 2226 843088 Martirosyan-Tran van Trung 2240 843198 Martirosyan-Tran van Trung 2254 843618 Martirosyan-Tran van Trung 2268 843738 Martirosyan-Tran van Trung 2282 844683 Martirosyan-Tran van Trung 2288 846793 Martirosyan-Tran van Trung 2304 846923 Martirosyan-Tran van Trung 2320 847315 Martirosyan-Tran van Trung 2336 847480 Martirosyan-Tran van Trung 2352 847615 Martirosyan-Tran van Trung 2368 847740 Martirosyan-Tran van Trung 2384 847875 Martirosyan-Tran van Trung 2400 847970 Martirosyan-Tran van Trung 2416 851420 Martirosyan-Tran van Trung 2432 851545 Martirosyan-Tran van Trung 2448 851685 Martirosyan-Tran van Trung 2464 852339 Martirosyan-Tran van Trung 2480 852449 Martirosyan-Tran van Trung 2496 852579 Martirosyan-Tran van Trung 2512 852709 Martirosyan-Tran van Trung 2528 852829 Martirosyan-Tran van Trung 2544 852949 Martirosyan-Tran van Trung 2560 853059 Martirosyan-Tran van Trung 2576 853529 Martirosyan-Tran van Trung 2592 853649 Martirosyan-Tran van Trung 2608 854729 Martirosyan-Tran van Trung 2736 860199 Martirosyan-Tran van Trung 2754 860723 Martirosyan-Tran van Trung 2940 861247 Martirosyan-Tran van Trung 2944 872837 Martirosyan-Tran van Trung 2976 873077 Martirosyan-Tran van Trung 3120 873217 Martirosyan-Tran van Trung 3136 873479 Martirosyan-Tran van Trung 3240 881859 Martirosyan-Tran van Trung 3248 882759 Martirosyan-Tran van Trung 3300 883021 Martirosyan-Tran van Trung 3360 883351 Martirosyan-Tran van Trung 3362 883966 Martirosyan-Tran van Trung 3364 890959 Martirosyan-Tran van Trung 3384 897817 Martirosyan-Tran van Trung 3584 897882 Martirosyan-Tran van Trung 3588 900592 Martirosyan-Tran van Trung 3640 900907 Martirosyan-Tran van Trung 3648 901431 Martirosyan-Tran van Trung 3666 901526 Martirosyan-Tran van Trung 3698 901921 Martirosyan-Tran van Trung 3700 908761 Martirosyan-Tran van Trung 3702 915394 Martirosyan-Tran van Trung 3704 921838 Martirosyan-Tran van Trung 3706 1004368 Martirosyan-Tran van Trung 10000 1048384 Power 23^3

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