Table for CAN(6,k,13) 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,13) 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 14 4826809 orthogonal array 15 9253764 extended OA (Colbourn) 16 13709280 Add a factor 17 16777210 orthogonal array fuse fuse fuse 18 19307232 perfect hash family4,18,14 28 23762752 Martirosyan-Tran van Trung 29 34914724 Add a factor 30 47910304 Add a factor 32 53094888 perfect hash family11,32,14 34 57921696 perfect hash family12,34,14 37 62748504 perfect hash family13,37,14 40 67575312 perfect hash family14,40,14 43 72402120 perfect hash family15,43,14 65 77228749 perfect hash family16,65,13,c 66 77228928 perfect hash family16,66,14 67 98478156 Add a factor 68 106189776 perfect hash family22,68,14 69 111016321 perfect hash family23,69,13,c 70 111016584 perfect hash family23,70,14 71 121898331 perfect hash family17,120,15S8 76 126325286 perfect hash family17,120,15S7 81 130752241 perfect hash family17,120,15S6 86 135179196 perfect hash family17,120,15S5 92 139606151 perfect hash family17,120,15S4 100 143633253 Power 16^2T2S15 106 148060208 Power 16^2S16 120 148060224 RBIBD 122 161426756 Power 16^2S13 127 165882272 Power 16^2S12 133 170337788 Power 16^2S11 140 174793304 Power 16^2S10 148 179248820 Power 16^2S9 156 183704336 Power 16^2S8 165 188159852 Power 16^2S7 175 192615368 Power 16^2S6 186 197070884 Power 16^2S5 198 201526400 Power 16^2S4 211 205981916 Power 16^2S3 225 210437432 Power 16^2T1T1 240 214892948 Power 16^2T1 256 219348464 Power 16^2 257 252644012 Add a factor 272 265367414 Power 17^2T1 289 268435344 Power 17^2 290 301730892 Add a factor 291 335026440 Add a factor 308 349455723 Power N29^2T12S14 325 351985745 Power N29^2T11S14 502 356441265 Power N29^2S15 519 367593237 Power N29^2S14 537 378745209 Power N29^2S13 730 380204016 Power 27^2+1 731 426131820 Add a factor 732 472059624 Add a factor 757 490264929 Power N29^2S3 784 501416901 Power N29^2T1T1 812 512568873 Power N29^2T1 841 523720845 Power N29^2 842 573153033 Add a factor 843 622585221 Add a factor 844 672017409 Add a factor 845 721449597 Add a factor 868 767091169 Power N31^2T3 870 773058557 Power N31^2T2T1 899 778243141 Power N31^2T2 900 786054137 Power N31^2T1T1 930 791238721 Power N31^2T1 962 796423305 Power N31^2+1 963 845855493 Add a factor 1024 849518192 Power 32^2 1038 867532116 Martirosyan-Tran van Trung 1048 878684088 Martirosyan-Tran van Trung 1064 878806392 Martirosyan-Tran van Trung 1074 878821680 Martirosyan-Tran van Trung 1172 880280487 Martirosyan-Tran van Trung 1228 880463943 Martirosyan-Tran van Trung 1232 880632111 Martirosyan-Tran van Trung 1248 880647399 Martirosyan-Tran van Trung 1284 882717831 Martirosyan-Tran van Trung 1340 882901287 Martirosyan-Tran van Trung 1352 883084743 Martirosyan-Tran van Trung 1360 883962267 Martirosyan-Tran van Trung 1460 892372515 Martirosyan-Tran van Trung 1461 941804703 Add a factor 1462 957598767 Martirosyan-Tran van Trung 1486 989495626 Power N41^2S5 1523 994322434 Power N41^2S4 1561 999149242 Power N41^2S3 1600 1003976050 Power N41^2T1T1 1720 1008802858 Power N43^2T3 1849 1013629666 Power N43^2 1952 1057068611 Power N61^2T29 2074 1061895419 Power N61^2T27 2257 1066722227 Power N61^2T24 2440 1071549035 Power N61^2T21 2623 1076375843 Power N61^2T18 3724 1081202472 Power N61^2+3 3751 1123703434 Power N67^2S12 3807 1144952662 Power N67^2S11 3864 1166201890 Power N67^2S10 3922 1187451118 Power N67^2S9 3981 1208700346 Power N67^2S8 4041 1229949574 Power N67^2S7 4097 1235659789 perfect hash family256,4097,13,c 4098 1235662832 Power 64^2+2 4102 1251198802 Power N67^2S6 4164 1272448030 Power N67^2S5 4227 1293697258 Power N67^2S4 4291 1314946486 Power N67^2S3 4356 1336195714 Power N67^2T1T1 4422 1357444942 Power N67^2T1 4489 1378694170 Power N67^2 5040 1442135898 Power 31^3T17S30 5400 1446562853 Power 31^3T16S30 5758 1451018369 Power 31^3T15S30 6119 1454086299 Power 31^3T14S30 6477 1456616321 Power 31^3T13S30 10000 1461071841 Power 31^3T3S30

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