Table for CAN(6,k,10) for k up to 10000

Last Updated Sun Nov 22 06:45:17 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;6,k,10) 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 7 1000000 composition 8 1234567 Add a symbol 9 1371741 Add a symbol 10 1524156 Add a symbol 12 1771559 orthogonal array fuse 13 3082589 Add a factor 14 4393619 Add a factor 15 6644249 Add a factor 16 7305495 Martirosyan-Tran van Trung 18 7608972 Martirosyan-Tran van Trung 20 7839102 Martirosyan-Tran van Trung 22 8298353 Martirosyan-Tran van Trung 24 8327487 Martirosyan-Tran van Trung 25 10961697 Add a factor 26 14246157 Add a factor 28 17263032 Martirosyan-Tran van Trung 29 21966792 Add a factor 30 22899437 Martirosyan-Tran van Trung 32 24087525 Martirosyan-Tran van Trung 34 24985538 Martirosyan-Tran van Trung 36 25161152 Martirosyan-Tran van Trung 38 25703149 Martirosyan-Tran van Trung 40 25878763 Martirosyan-Tran van Trung 42 27252096 Martirosyan-Tran van Trung 44 27837476 Martirosyan-Tran van Trung 46 28442727 Martirosyan-Tran van Trung 48 31334203 Martirosyan-Tran van Trung 49 37445023 Add a factor 50 42517392 perfect hash family24,50,12 52 44288950 perfect hash family25,52,12 55 46060508 perfect hash family26,55,12 56 46699348 perfect hash family16,65,13S2 59 47832066 perfect hash family27,59,12 60 48010378 perfect hash family16,65,13T1 65 49321408 perfect hash family16,65,13 66 55550218 Add a factor 67 61779028 Add a factor 68 62003613 Martirosyan-Tran van Trung 70 62200071 Martirosyan-Tran van Trung 72 63277119 Martirosyan-Tran van Trung 74 64163967 Martirosyan-Tran van Trung 76 64283639 Martirosyan-Tran van Trung 80 64480097 Martirosyan-Tran van Trung 84 66227434 Martirosyan-Tran van Trung 88 66882294 Martirosyan-Tran van Trung 92 67711743 Martirosyan-Tran van Trung 93 73940553 Add a factor 96 74193490 Martirosyan-Tran van Trung 97 80422300 Add a factor 98 83131172 Martirosyan-Tran van Trung 100 89257315 Martirosyan-Tran van Trung 101 95486125 Add a factor 104 96066126 Martirosyan-Tran van Trung 110 98350945 Martirosyan-Tran van Trung 112 99339285 Martirosyan-Tran van Trung 114 101520260 Martirosyan-Tran van Trung 118 101658678 Martirosyan-Tran van Trung 120 101836990 Martirosyan-Tran van Trung 124 103278592 Martirosyan-Tran van Trung 128 103417010 Martirosyan-Tran van Trung 130 103609763 Martirosyan-Tran van Trung 144 105820032 Power 16^2T4T4 156 107131062 Power 16^2T4T3 169 108442092 Power 16^2T3T3 182 109753122 Power 16^2T3T2 196 111064152 Power 16^2T2T2 197 112653536 Power 16^2T2S2 208 112664998 Power 16^2T3 210 113314782 Power 16^2T2T1 224 113976028 Power 16^2T2 225 115565412 Power 16^2T1T1 240 116226658 Power 16^2T1 256 116887904 Power 16^2 272 121440059 Power 17^2T1 290 121743536 Power 17^2+1 291 124505096 Power 19^2S4 307 124735226 Power 19^2S3 324 124965356 Power 19^2T1T1 342 125195486 Power 19^2T1 362 125425616 Power 19^2+1 368 132217784 Power 23^2T7 400 132263006 Power 23^2T3T3 414 132521261 Power 23^2T5 421 132693123 Power 23^2T3S2 440 132722257 Power 23^2T3T1 460 132751391 Power 23^2T3 463 133152374 Power 23^2S3 484 133181508 Power 23^2T1T1 506 133210642 Power 23^2T1 530 133239776 Power 23^2+1 531 146656886 Add a factor 532 160073996 Add a factor 553 167484506 Power 25^2S3 576 170118716 Power 25^2T1T1 600 172752926 Power 25^2T1 625 175387136 Power 25^2 626 189794246 Add a factor 627 204201356 Add a factor 628 218608466 Add a factor 629 233015576 Add a factor 630 247422686 Add a factor 631 261829796 Add a factor 632 266674901 Martirosyan-Tran van Trung 640 266688797 Martirosyan-Tran van Trung 642 266812565 Martirosyan-Tran van Trung 650 266890286 Power 27^2T2T1 651 267157871 Power 27^2S3 660 267893480 Martirosyan-Tran van Trung 672 268251080 Martirosyan-Tran van Trung 676 268320560 Martirosyan-Tran van Trung 680 268362248 Martirosyan-Tran van Trung 684 268660406 Martirosyan-Tran van Trung 704 268738121 Martirosyan-Tran van Trung 724 269311160 Martirosyan-Tran van Trung 728 272681872 Martirosyan-Tran van Trung 736 272758300 Martirosyan-Tran van Trung 740 273945682 Martirosyan-Tran van Trung 768 274243840 Martirosyan-Tran van Trung 780 275439598 Martirosyan-Tran van Trung 784 275474338 Martirosyan-Tran van Trung 792 275481286 Martirosyan-Tran van Trung 796 275579125 Martirosyan-Tran van Trung 800 277654198 Martirosyan-Tran van Trung 806 277807778 Martirosyan-Tran van Trung 828 277817465 Martirosyan-Tran van Trung 830 277836912 Martirosyan-Tran van Trung 832 278433228 Martirosyan-Tran van Trung 838 278474916 Martirosyan-Tran van Trung 842 284394567 Martirosyan-Tran van Trung 848 284423701 Martirosyan-Tran van Trung 880 284430649 Martirosyan-Tran van Trung 896 284459783 Martirosyan-Tran van Trung 920 284480627 Martirosyan-Tran van Trung 926 284634207 Martirosyan-Tran van Trung 936 284663341 Martirosyan-Tran van Trung 968 287672713 Martirosyan-Tran van Trung 976 287898578 Martirosyan-Tran van Trung 1012 288392156 Martirosyan-Tran van Trung 1044 288428238 Martirosyan-Tran van Trung 1060 290552238 Martirosyan-Tran van Trung 1061 304959348 Add a factor 1062 308351448 Martirosyan-Tran van Trung 1063 322758558 Add a factor 1064 325219554 Martirosyan-Tran van Trung 1072 332672913 Martirosyan-Tran van Trung 1084 332679861 Martirosyan-Tran van Trung 1088 336015861 Martirosyan-Tran van Trung 1092 336036705 Martirosyan-Tran van Trung 1100 336078393 Martirosyan-Tran van Trung 1104 342986393 Martirosyan-Tran van Trung 1106 343295246 Martirosyan-Tran van Trung 1120 345929456 Martirosyan-Tran van Trung 1128 345998936 Martirosyan-Tran van Trung 1136 346019780 Martirosyan-Tran van Trung 1144 346033676 Martirosyan-Tran van Trung 1148 349983602 Martirosyan-Tran van Trung 1152 349997498 Martirosyan-Tran van Trung 1176 352751111 Martirosyan-Tran van Trung 1184 352758059 Martirosyan-Tran van Trung 1200 352765007 Martirosyan-Tran van Trung 1204 355399217 Martirosyan-Tran van Trung 1208 359095217 Martirosyan-Tran van Trung 1216 359116061 Martirosyan-Tran van Trung 1218 359136905 Martirosyan-Tran van Trung 1232 359457063 Martirosyan-Tran van Trung 1236 360090240 Martirosyan-Tran van Trung 1248 360156012 Martirosyan-Tran van Trung 1250 360239388 Martirosyan-Tran van Trung 1253 365049334 Power N41^2S12 1284 366422667 Power N41^2S11 1316 367796000 Power N41^2S10 1348 369169333 Power N41^2S9 1381 370542666 Power N41^2S8 1415 371915999 Power N41^2S7 1450 373289332 Power N41^2S6 1486 374662665 Power N41^2S5 1523 376035998 Power N41^2S4 1561 377409331 Power N41^2S3 1600 378782664 Power N41^2T1T1 1640 380155997 Power N41^2T1 1682 381529330 Power N41^2+1 1683 387383130 Power N43^2S4 1720 387765937 Power N43^2T3 1723 387968510 Power N43^2S3 1764 388553890 Power N43^2T1T1 1806 389139270 Power N43^2T1 1850 389724650 Power N43^2+1 1852 398198164 Power N43^2+3 1861 415547020 Power N47^2S8 1901 418438496 Power N47^2S7 1942 421329972 Power N47^2S6 1984 424221448 Power N47^2S5 2027 427112924 Power N47^2S4 2071 430004400 Power N47^2S3 2116 432895876 Power N47^2T1T1 2162 435787352 Power N47^2T1 2210 438678828 Power N47^2+1 2211 459303678 Add a factor 2212 479928528 Add a factor 2213 500553378 Add a factor 2214 521178228 Add a factor 2215 541803078 Add a factor 2240 560978134 Martirosyan-Tran van Trung 2256 561117094 Martirosyan-Tran van Trung 2272 561158782 Martirosyan-Tran van Trung 2288 561186574 Martirosyan-Tran van Trung 2296 565890584 Martirosyan-Tran van Trung 2304 565918376 Martirosyan-Tran van Trung 2352 568791392 Martirosyan-Tran van Trung 2368 568805288 Martirosyan-Tran van Trung 2400 568819184 Martirosyan-Tran van Trung 2408 571453394 Martirosyan-Tran van Trung 2416 575149394 Martirosyan-Tran van Trung 2420 575191082 Martirosyan-Tran van Trung 2432 576400850 Martirosyan-Tran van Trung 2436 576442538 Martirosyan-Tran van Trung 2464 576769644 Martirosyan-Tran van Trung 2472 578035998 Martirosyan-Tran van Trung 2496 578167542 Martirosyan-Tran van Trung 2500 578334294 Martirosyan-Tran van Trung 2506 586113076 Martirosyan-Tran van Trung 2528 587239006 Martirosyan-Tran van Trung 2560 587252902 Martirosyan-Tran van Trung 2568 587376670 Martirosyan-Tran van Trung 2632 588638032 Martirosyan-Tran van Trung 2640 589763962 Martirosyan-Tran van Trung 2656 589812238 Martirosyan-Tran van Trung 2662 589819186 Martirosyan-Tran van Trung 2684 594639826 Martirosyan-Tran van Trung 2688 595290546 Martirosyan-Tran van Trung 2696 595360026 Martirosyan-Tran van Trung 2704 596485956 Martirosyan-Tran van Trung 2720 596527644 Martirosyan-Tran van Trung 2762 596534592 Martirosyan-Tran van Trung 2816 597660522 Martirosyan-Tran van Trung 2830 598233561 Martirosyan-Tran van Trung 2860 599359491 Martirosyan-Tran van Trung 2896 599692819 Martirosyan-Tran van Trung 2900 599699767 Martirosyan-Tran van Trung 2904 600825697 Martirosyan-Tran van Trung 2912 619707825 Martirosyan-Tran van Trung 2944 619784253 Martirosyan-Tran van Trung 2948 620968599 Martirosyan-Tran van Trung 2960 621137255 Martirosyan-Tran van Trung 2968 621144203 Martirosyan-Tran van Trung 2972 621151151 Martirosyan-Tran van Trung 2992 622277081 Martirosyan-Tran van Trung 3046 622791017 Martirosyan-Tran van Trung 3072 623916947 Martirosyan-Tran van Trung 3122 625034873 Martirosyan-Tran van Trung 3124 626223335 Martirosyan-Tran van Trung 3146 627287063 Martirosyan-Tran van Trung 3168 631899005 Martirosyan-Tran van Trung 3190 635756005 Martirosyan-Tran van Trung 3200 635912885 Martirosyan-Tran van Trung 3212 637101347 Martirosyan-Tran van Trung 3280 646366702 Martirosyan-Tran van Trung 3364 647555164 Martirosyan-Tran van Trung 3366 653494311 Martirosyan-Tran van Trung 3388 654079691 Martirosyan-Tran van Trung 3392 658111655 Martirosyan-Tran van Trung 3432 658118603 Martirosyan-Tran van Trung 3446 659039073 Martirosyan-Tran van Trung 3476 659624453 Martirosyan-Tran van Trung 3528 661541613 Martirosyan-Tran van Trung 3584 662126993 Martirosyan-Tran van Trung 3612 662147837 Martirosyan-Tran van Trung 3674 662733217 Martirosyan-Tran van Trung 3700 662899037 Martirosyan-Tran van Trung 3704 671372551 Martirosyan-Tran van Trung 3718 688721407 Martirosyan-Tran van Trung 4320 688754638 Power 31^3T19S30 4463 689942726 Power 31^3T19S29 4680 690065668 Power 31^3T18S30 4835 691253756 Power 31^3T18S29 5040 691376698 Power 31^3T17S30 5207 692564786 Power 31^3T17S29 5400 693627328 Power 31^3T16S30 5758 694288574 Power 31^3T15S30 6477 694592051 Power 31^3T13S30 7197 694822181 Power 31^3T11S30 7915 695281432 Power 31^3T9S30 8633 695310566 Power 31^3T7S30 8920 696498654 Power 31^3T7S29 9217 697686742 Power 31^3T7S28 9524 698874830 Power 31^3T7S27 9841 700062918 Power 31^3T7S26 10000 701251006 Power 31^3T7S25

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