Table for CAN(5,k,14) for k up to 10000

Last Updated Sun Nov 22 06:43:43 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,14) 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 537824 Derive from strength 6 7 623748 Derive from strength 6 8 671728 Add a symbol 9 723399 Add a symbol 10 779045 Add a symbol 11 838971 Add a symbol 12 903507 Add a symbol 13 973007 Add a symbol 14 1047853 Add a symbol 17 1048572 orthogonal array fuse fuse 18 1419851 orthogonal array fuse fuse fuse 20 1949799 Martirosyan-Tran van Trung 22 2069642 Martirosyan-Tran van Trung 24 2147165 Martirosyan-Tran van Trung 26 2216665 Martirosyan-Tran van Trung 28 2291511 Martirosyan-Tran van Trung 32 2292230 Martirosyan-Tran van Trung 34 2293816 Martirosyan-Tran van Trung 36 2900460 Martirosyan-Tran van Trung 38 4021934 Martirosyan-Tran van Trung 40 4078406 Martirosyan-Tran van Trung 42 4430767 Martirosyan-Tran van Trung 44 4506401 Martirosyan-Tran van Trung 46 4596911 Martirosyan-Tran van Trung 48 4606427 Martirosyan-Tran van Trung 50 4707647 Martirosyan-Tran van Trung 52 4728265 Martirosyan-Tran van Trung 54 4823729 Martirosyan-Tran van Trung 56 4844347 Martirosyan-Tran van Trung 58 4929904 Martirosyan-Tran van Trung 60 4950522 Martirosyan-Tran van Trung 62 4971140 Martirosyan-Tran van Trung 64 4991758 Martirosyan-Tran van Trung 68 5004446 Martirosyan-Tran van Trung 72 5844869 Martirosyan-Tran van Trung 73 7743857 Add a factor 76 7810862 Martirosyan-Tran van Trung 80 7867334 Martirosyan-Tran van Trung 84 8219695 Martirosyan-Tran van Trung 88 8369429 Martirosyan-Tran van Trung 92 8459939 Martirosyan-Tran van Trung 96 8469455 Martirosyan-Tran van Trung 100 8606347 Martirosyan-Tran van Trung 102 8626965 Martirosyan-Tran van Trung 104 8932088 Martirosyan-Tran van Trung 108 9027552 Martirosyan-Tran van Trung 112 9132293 Martirosyan-Tran van Trung 121 9228670 Power 11^2 124 9333186 Martirosyan-Tran van Trung 128 9353804 Martirosyan-Tran van Trung 136 9402151 Martirosyan-Tran van Trung 144 10530511 Martirosyan-Tran van Trung 156 10633566 Power 13^2T1 169 10703066 Power 13^2 170 11264754 Power 17^2T7 187 11324680 Power 17^2T6 204 11389216 Power 17^2T5 221 11458716 Power 17^2T4 238 11533562 Power 17^2T3 289 11534281 Power 17^2 290 13748129 Add a factor 312 15501253 Martirosyan-Tran van Trung 338 15570754 Martirosyan-Tran van Trung 340 16132410 Martirosyan-Tran van Trung 374 16192337 Martirosyan-Tran van Trung 408 16256873 Martirosyan-Tran van Trung 442 16326374 Martirosyan-Tran van Trung 512 16401936 Martirosyan-Tran van Trung 516 16451856 Martirosyan-Tran van Trung 544 16453442 Martirosyan-Tran van Trung 548 16787061 Martirosyan-Tran van Trung 576 16788647 Martirosyan-Tran van Trung 578 17542244 Martirosyan-Tran van Trung 579 19794676 Add a factor 580 19876316 Martirosyan-Tran van Trung 608 21631026 Martirosyan-Tran van Trung 612 21632612 Martirosyan-Tran van Trung 624 22081424 Martirosyan-Tran van Trung 640 22150925 Martirosyan-Tran van Trung 682 22699702 Power N31^2T9 744 22777225 Power N31^2T7 806 22846725 Power N31^2T5 868 22921571 Power N31^2T3 962 22922290 Power N31^2+1 964 22938150 Power N31^2+3 966 24034951 Martirosyan-Tran van Trung 970 24041295 Martirosyan-Tran van Trung 1004 24044467 Martirosyan-Tran van Trung 1008 24067815 Martirosyan-Tran van Trung 1024 24080503 Martirosyan-Tran van Trung 1032 24180343 Martirosyan-Tran van Trung 1036 24181929 Martirosyan-Tran van Trung 1056 24185205 Martirosyan-Tran van Trung 1060 24227247 Martirosyan-Tran van Trung 1084 24238349 Martirosyan-Tran van Trung 1088 24275087 Martirosyan-Tran van Trung 1096 25018375 Martirosyan-Tran van Trung 1102 25019961 Martirosyan-Tran van Trung 1108 25029477 Martirosyan-Tran van Trung 1132 25038993 Martirosyan-Tran van Trung 1148 25051447 Martirosyan-Tran van Trung 1152 25064005 Martirosyan-Tran van Trung 1156 26618129 Martirosyan-Tran van Trung 1160 29083527 Martirosyan-Tran van Trung 1164 30838237 Martirosyan-Tran van Trung 1198 30889509 Martirosyan-Tran van Trung 1204 30899025 Martirosyan-Tran van Trung 1216 30910127 Martirosyan-Tran van Trung 1224 30911713 Martirosyan-Tran van Trung 1248 31630769 Martirosyan-Tran van Trung 1252 31709786 Martirosyan-Tran van Trung 1280 31720888 Martirosyan-Tran van Trung 1298 32269667 Martirosyan-Tran van Trung 1300 32279183 Martirosyan-Tran van Trung 1344 32280769 Martirosyan-Tran van Trung 1362 32318599 Martirosyan-Tran van Trung 1364 32453695 Martirosyan-Tran van Trung 1368 32531218 Martirosyan-Tran van Trung 1428 32537562 Martirosyan-Tran van Trung 1488 32573832 Martirosyan-Tran van Trung 1506 32643333 Martirosyan-Tran van Trung 1536 32690029 Martirosyan-Tran van Trung 1568 32748542 Martirosyan-Tran van Trung 1592 32784812 Martirosyan-Tran van Trung 1612 32805352 Martirosyan-Tran van Trung 1624 32880914 Martirosyan-Tran van Trung 1626 32958459 Martirosyan-Tran van Trung 1792 33008522 Martirosyan-Tran van Trung 1816 33046352 Martirosyan-Tran van Trung 1904 33181448 Martirosyan-Tran van Trung 1924 33217718 Martirosyan-Tran van Trung 1928 33233578 Martirosyan-Tran van Trung 1932 34330379 Martirosyan-Tran van Trung 1940 34336723 Martirosyan-Tran van Trung 2008 34339895 Martirosyan-Tran van Trung 2016 34409939 Martirosyan-Tran van Trung 2048 34422627 Martirosyan-Tran van Trung 2056 34643705 Martirosyan-Tran van Trung 2064 34645291 Martirosyan-Tran van Trung 2072 34646877 Martirosyan-Tran van Trung 2104 34673813 Martirosyan-Tran van Trung 2112 34721757 Martirosyan-Tran van Trung 2120 34763799 Martirosyan-Tran van Trung 2168 34774901 Martirosyan-Tran van Trung 2176 34839212 Martirosyan-Tran van Trung 2184 35582500 Martirosyan-Tran van Trung 2192 35584086 Martirosyan-Tran van Trung 2204 35585672 Martirosyan-Tran van Trung 2216 35595188 Martirosyan-Tran van Trung 2264 35604704 Martirosyan-Tran van Trung 2296 35617158 Martirosyan-Tran van Trung 2304 35629716 Martirosyan-Tran van Trung 2312 37183840 Martirosyan-Tran van Trung 2320 39649238 Martirosyan-Tran van Trung 2328 41405534 Martirosyan-Tran van Trung 2352 41456806 Martirosyan-Tran van Trung 2388 41493076 Martirosyan-Tran van Trung 2396 41523886 Martirosyan-Tran van Trung 2408 41533402 Martirosyan-Tran van Trung 2432 41544504 Martirosyan-Tran van Trung 2436 41546090 Martirosyan-Tran van Trung 2448 41560949 Martirosyan-Tran van Trung 2590 42171864 Power 23^3T13S20 2849 42231790 Power 23^3T12S20 3108 42296326 Power 23^3T11S20 3367 42365826 Power 23^3T10S20 3626 42440672 Power 23^3T9S20 4403 42441391 Power 23^3T6S20 4471 42518914 Power 23^3T6S19 4556 42596437 Power 23^3T6S18 4658 42673960 Power 23^3T6S17 4692 42748193 Power 23^3T11T6 4777 42751483 Power 23^3T6S16 5083 42817693 Power 23^3T10T6 5474 42892539 Power 23^3T9T6 6647 42893258 Power 23^3T6T6 7038 43264537 Power 23^3T6T5 7208 43604236 Power 23^3T6S5 7452 43635816 Power 23^3T5T5 7531 43681759 Power 23^3T6S4 7871 43759282 Power 23^3T6S3 8228 43836805 Power 23^3T6S2 8602 43914328 Power 23^3T6T1 8993 43991851 Power 23^3T6 9108 44285607 Power 23^3T5T1 9522 44363130 Power 23^3T5 9746 44702829 Power 23^3S5 10000 44780352 Power 23^3S4

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