Table for CAN(6,k,14) for k up to 10000

Last Updated Tue Jan 31 05:20:10 MST 2012

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,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 7 7529536 composition 8 8732479 Add a symbol 9 9404208 Add a symbol 10 10127608 Add a symbol 11 10906654 Add a symbol 12 11745627 Add a symbol 13 12649136 Add a symbol 14 13622146 Add a symbol 17 16777212 orthogonal array fuse fuse 18 24137563 orthogonal array fuse fuse fuse 19 36042001 Add a factor 20 47045871 orthogonal array fuse fuse fuse fuse fuse 22 61976918 Martirosyan-Tran van Trung 24 66438200 Martirosyan-Tran van Trung 26 69105148 Martirosyan-Tran van Trung 28 71181204 Martirosyan-Tran van Trung 30 77886048 Martirosyan-Tran van Trung 32 78280197 Martirosyan-Tran van Trung 34 78472564 Martirosyan-Tran van Trung 36 99799254 Martirosyan-Tran van Trung 37 131460156 Add a factor 38 161954578 Martirosyan-Tran van Trung 39 167772110 perfect hash family10,39,17 40 180693872 Martirosyan-Tran van Trung 44 184549321 perfect hash family11,44,17 45 197868615 perfect hash family16,65,13S5 48 198772124 perfect hash family16,65,13S4 52 199675633 perfect hash family16,65,13S3 56 200579142 perfect hash family16,65,13S2 60 201482651 perfect hash family16,65,13T1 65 202386160 perfect hash family16,65,13 66 217954320 perfect hash family16,66,14 112 240039782 Power CT16^2Arc(18):9 twos,0 ones 116 246349914 Power CT16^2Arc(14):7 twos,0 ones 124 249504980 Power CT16^2Arc(12):6 twos,0 ones 128 251687036 Power CT16^2TD(4):3,2,2,2,2 136 252660046 Power CT16^2TD(4):2,2,2,2,2 142 254842102 Power CT16^2TD(4):3,2,2,2,0 152 255815112 Power CT16^2TD(4):2,2,2,2,0 160 257997168 Power CT16^2TD(2):2,2,3 172 258970178 Power CT16^2TD(2):2,2,2 182 261152234 Power CT16^2T3T2 196 262125244 Power CT16^2T2T2 204 263403791 Power CT17^2T5 221 264307300 Power CT17^2T4 238 265280310 Power CT17^2T3 256 268435212 perfect hash family16,256,16,c fuse fuse 289 268435376 Power CT17^2 290 332673186 Add a factor 291 398607236 Add a factor 292 467763960 Add a factor 293 520093541 perfect hash family31,293,17 320 530221148 perfect hash family32,512,16T6 352 531000194 perfect hash family32,512,16T5 384 531839167 perfect hash family32,512,16T4 416 532742676 perfect hash family32,512,16T3 448 533715686 perfect hash family32,512,16T2 512 536870412 perfect hash family32,512,16,c fuse fuse 513 536870752 perfect hash family32,513,17 514 630770376 Add a factor 515 725834982 Add a factor 516 754974495 perfect hash family45,516,17 517 850039101 Add a factor 544 858958921 Martirosyan-Tran van Trung 576 886438073 Martirosyan-Tran van Trung 578 900492105 Martirosyan-Tran van Trung 579 1002089055 Add a factor 580 1011069967 Martirosyan-Tran van Trung 582 1097692786 Martirosyan-Tran van Trung 596 1101242265 Power N-CT29^2Arc(10) 600 1103015404 Power CT25^2T1 626 1105682352 Power CT25^2+1 637 1114651953 Power N-CT29^2Arc(8) 659 1121356797 Power N-CT29^2Arc(7) 682 1128061641 Power N-CT29^2Arc(6) 706 1134766485 Power N-CT29^2Arc(5) 730 1138899248 Power CT27^2+1 731 1141471329 Power N-CT29^2Arc(4) 757 1148176173 Power N-CT29^2Arc(3) 784 1154881017 Power N-CT29^2T1T1 812 1161585861 Power N-CT29^2T1 813 1166315649 Power N-CT31^2Arc(2)T3 840 1166709798 Power N-CT31^2T3T1 868 1167103947 Power N-CT31^2T3 871 1173020493 Power N-CT31^2Arc(3) 900 1173414642 Power N-CT31^2T1T1 930 1173808791 Power N-CT31^2T1 962 1174202940 Power N-CT31^2+1 964 1177088445 Power N-CT31^2+3 1024 1252483136 Power CT32^2 1026 1255561008 Power CT32^2+2 1027 1377994774 Add a factor 1028 1500428540 Add a factor 1029 1622862306 Add a factor 1044 1655293305 Power N-CT37^2Arc(10) 1072 1686954207 Power N-CT37^2Arc(9) 1101 1718615109 Power N-CT37^2Arc(8) 1131 1750276011 Power N-CT37^2Arc(7) 1162 1781936913 Power N-CT37^2Arc(6) 1194 1813597815 Power N-CT37^2Arc(5) 1227 1845258717 Power N-CT37^2Arc(4) 1261 1876919619 Power N-CT37^2Arc(3) 1296 1908580521 Power N-CT37^2T1T1 1332 1940241423 Power N-CT37^2T1 1369 1971902325 Power N-CT37^2 1370 2098220517 Add a factor 1425 2147483008 perfect hash family128,1425,17 1452 2225404420 Power CT31^3T20T20T19 1584 2226243393 Power CT31^3T20T19T19 1728 2227082366 Power CT31^3T19T19T19 1872 2227985875 Power CT31^3T19T19T18 2028 2228889384 Power CT31^3T19T18T18 2197 2229792893 Power CT31^3T18T18T18 2366 2230765903 Power CT31^3T18T18T17 2548 2231738913 Power CT31^3T18T17T17 2744 2232711923 Power CT31^3T17T17T17 2873 2233920969 Power CT31^3T18T18T14 3094 2234893979 Power CT31^3T18T17T14 3332 2235866989 Power CT31^3T17T17T14 3468 2237145536 Power CT31^3T19T14T14 3757 2238049045 Power CT31^3T18T14T14 4046 2239022055 Power CT31^3T17T14T14 4913 2242177121 Power CT31^3T14T14T14 5202 2249537472 Power CT31^3T14T14T13 5508 2256897823 Power CT31^3T14T13T13 5832 2264258174 Power CT31^3T13T13T13 6156 2276162612 Power CT31^3T13T13T12 6480 2287166482 Power CT31^3T13T13T11 6498 2288067050 Power CT31^3T13T12T12 6936 2291838109 Power CT31^3T14T14T7 7514 2294505057 Power CT31^3T14T14T5 8092 2296581113 Power CT31^3T14T14T3 8670 2303285957 Power CT31^3T14T14T1 9248 2303680106 Power CT32^3T15T15 9792 2311040457 Power CT32^3T15T14 10000 2318400808 Power CT31^3T13T13

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