Table for CAN(6,k,11) for k up to 10000

Last Updated Wed Mar 9 06:22:05 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;6,k,11) 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 12 1771561 orthogonal array 13 3367430 extended OA (Colbourn) 15 3528481 4-Restricted SCPHF RE (CL) 19 5153621 5-Restricted SCPHF RE (CL) 21 5300031 4-Restricted SCPHF RE (CL) 22 5313341 3-Restricted SCPHF RE (CL) 23 5314681 CPHF IPO 3 (WCS) 26 6764131 5,5-Restricted SCPHF RE (CL) 28 6925171 5-Restricted SCPHF RE (CL) 30 7071581 4-Restricted SCPHF RE (CL) 31 7086101 2-Restricted SCPHF RE (CL) 35 7086241 CPHF IPO 4 (WCS) 41 8696721 5-Restricted SCPHF RE (CL) 43 8843131 4-Restricted SCPHF RE (CL) 44 8856441 3-Restricted SCPHF RE (CL) 45 8857651 2-Restricted SCPHF RE (CL) 46 8857761 SCPHF Random Extension (CLS) 48 8857801 CPHF IPO 5 (WCS) 54 10307231 5,5-Restricted SCPHF RE (CL) 60 10468271 5-Restricted SCPHF RE (CL) 61 10614681 4-Restricted SCPHF RE (CL) 66 10627991 3-Restricted SCPHF RE (CL) 67 10629311 SCPHF Random Extension (CLS) 68 10629361 CPHF Random Extension (CLS) 74 11917741 5,5,5-Restricted SCPHF RE (CL) 83 12078781 5,5-Restricted SCPHF RE (CL) 88 12239821 5-Restricted SCPHF RE (CL) 95 12386231 4-Restricted SCPHF RE (CL) 97 12399541 3-Restricted SCPHF RE (CL) 100 12400751 2-Restricted SCPHF RE (CL) 107 13689291 5,5,5-Restricted SCPHF RE (CL) 121 13850331 5,5-Restricted SCPHF RE (CL) 132 14011371 5-Restricted SCPHF RE (CL) 141 14157781 4-Restricted SCPHF RE (CL) 145 14171091 3-Restricted SCPHF RE (CL) 147 14172301 2-Restricted SCPHF RE (CL) 150 14172411 SCPHF Random Extension (CLS) 208 15943961 SCPHF Random Extension (CLS) 209 23996071 Add 1 factors 210 29293451 Add 2 factors 211 33113421 Add 3 factors 212 34723931 Add 4 factors 215 36250181 Add 11 factors 219 36334441 Add 11 factors 250 43441173 SCPHF Random Extension (CLS) fuse fuse 251 52807783 Add 1 factors 252 58105163 Add 2 factors 261 61989660 perfect hash family4,328,208T67 265 62002970 perfect hash family4,328,208T63 267 62004180 perfect hash family4,328,208T61 270 62004290 perfect hash family4,328,208T58 328 63775840 perfect hash family4,328,208 329 73287650 Add 1 factors 343 77933620 perfect hash family5,475,207T66 351 77946930 perfect hash family5,475,207T62 355 77948140 perfect hash family5,475,207T60 361 77948250 perfect hash family5,475,207T57 476 79719800 perfect hash family5,476,208 483 85020230 Power CT23^2T2 484 85032200 Power CT23^2T1T1 506 85033540 Power CT23^2T1 529 85034880 Power CT23^2 568 95663760 perfect hash family6,568,208 578 103716741 perfect hash familyD16,578,34^11 17^5 581 103731160 Power N-CT29^2Arc(4)T6 601 103877570 Power N-CT29^2Arc(3)T6 622 104023980 Power N-CT29^2Arc(2)T6 644 104170390 Power N-CT29^2T6T1 667 104316800 Power N-CT29^2T6 668 104491040 Power N-CT31^2Arc(2)T8 690 104505560 Power N-CT31^2T8T1 713 104520080 Power N-CT31^2T8 731 105488060 Power N-CT29^2Arc(4) 757 105634470 Power N-CT29^2Arc(3) 784 105780880 Power N-CT29^2T1T1 812 105927290 Power N-CT29^2T1 842 106073700 Power N-CT29^2+1 868 106130570 Power N-CT31^2T3 871 106247940 Power N-CT31^2Arc(3) 900 106262460 Power N-CT31^2T1T1 930 106276980 Power N-CT31^2T1 961 106291500 Power N-CT31^2 965 106293600 perfect hash family15,965,35 992 113379700 Power CT32^2T1 1027 113379840 Power CT32^2+3 1051 116922640 Power N-CT41^2Trin6,6,6 1085 118532980 Power N-CT41^2T10T6 1225 118533120 Power N-CT41^2T6T6 1230 120128940 Power N-CT41^2T11 1271 120143460 Power N-CT41^2T10 1435 120143600 Power N-CT41^2T6 1681 121754080 Power N-CT41^2 1763 123657410 Power N-CT43^2T2 1849 123803820 Power N-CT43^2 1886 123848080 Power N-CT47^2T6T1 1927 123848120 Power N-CT47^2T6 1935 123994380 Power N-CT47^2T4T2 1936 123994450 Power N-CT47^2Arc(2)T4 1978 123994490 Power N-CT47^2T4T1 2021 123994530 Power N-CT47^2T4 2024 124007800 Power N-CT47^2T3T1 2068 124007840 Power N-CT47^2T3 2070 124009010 Power N-CT47^2T2T1 2115 124009050 Power N-CT47^2T2 2116 124009120 Power N-CT47^2T1T1 2162 124009160 Power N-CT47^2T1 2210 124009200 Power N-CT47^2+1 2211 138494110 Add 1 factors 2304 141402360 Power N-CT53^2T5T5 2332 142850430 Power N-CT53^2T9 2385 142851640 Power N-CT53^2T8 2438 142851750 Power N-CT53^2T7 2544 142851790 Power N-CT53^2T5 2810 144301220 Power N-CT53^2+1 2832 144945310 Power N-CT59^2T11 2916 146233700 Power N-CT59^2T5T5 3186 146394740 Power N-CT59^2T5 3482 146555780 Power N-CT59^2+1 3483 148019880 Power N-CT61^2Arc(4) 3541 148166290 Power N-CT61^2Arc(3) 3600 148312700 Power N-CT61^2T1T1 3660 148459110 Power N-CT61^2T1 3721 148605520 Power N-CT61^2 3730 148642700 Power N-CT67^2Arc(5)T7 3786 148644020 Power N-CT67^2Arc(4)T7 3843 148645340 Power N-CT67^2Arc(3)T7 3901 148646660 Power N-CT67^2Arc(2)T7 3960 148647980 Power N-CT67^2T7T1 4020 148649300 Power N-CT67^2T7 4026 148794390 Power N-CT67^2T6T1 4087 148795710 Power N-CT67^2T6 4102 148802420 Power N-CT67^2Arc(6) 4164 148803740 Power N-CT67^2Arc(5) 4227 148805060 Power N-CT67^2Arc(4) 4291 148806380 Power N-CT67^2Arc(3) 4356 148807700 Power N-CT67^2T1T1 4422 148809020 Power N-CT67^2T1 4489 148810340 Power N-CT67^2 4490 148811040 Power N-CT67^2+1 4556 152353810 Power N-CT73^2T6T5 4624 152353860 Power N-CT73^2T5T5 4818 153640870 Power N-CT73^2T7 4891 153642190 Power N-CT73^2T6 4964 153642240 Power N-CT73^2T5 5330 154930620 Power N-CT73^2+1 5478 155573350 Power N-CT83^2T17 5561 155574670 Power N-CT83^2T16 5644 155574720 Power N-CT83^2T15 6142 156863100 Power N-CT83^2T9 6889 157024140 Power N-CT83^2 6894 159117660 perfect hash family13,6894,88 6919 159264070 Power N-CT89^2Arc(12) 6997 159410480 Power N-CT89^2Arc(11) 7076 159556890 Power N-CT89^2Arc(10) 7382 159599240 Power N-CT101^2Arc(13)T18 7822 159760280 Power N-CT101^2Arc(13)T13 8438 159906690 Power N-CT101^2Arc(13)T6 8614 159920000 Power N-CT101^2Arc(13)T4 8790 159921210 Power N-CT101^2Arc(13)T2 8839 161154090 Power N-CT97^2Trin2,2,2 9025 161167400 Power N-CT97^2T2T2 9215 161180710 Power N-CT97^2T2 9409 161194020 Power N-CT97^2 9412 161209750 Power N-CT97^2+3 9421 167652450 Power N-CT101^2Arc(8) 9515 168940990 Power N-CT101^2Arc(7) 9610 170229530 Power N-CT101^2Arc(6) 9706 171518070 Power N-CT101^2Arc(5) 9803 172806610 Power N-CT101^2Arc(4) 9901 174095150 Power N-CT101^2Arc(3) 10000 175383690 Power N-CT101^2T1T1

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