// Computer generated tms-net embeddings of codes of strength 3. // For information on the used codes of strength 3 see http://www.mathi.uni-heidelberg.de/~yves/Matritzen/CAPs/CAPMatIndex.html // base 4 nets transformed so that they can be used as if they were DigitalNetBase2 // details: an Element "a+ b\omega" is represented as binary pair "a b" // each "column" c of the GF(4) generator is replaced by the two columns c, \omega c // so we have the double numbers of columns and rows as in the GF(4) matrix // Note, the strength remains the GF(4) strength k, but there are many projections have strength in the range k to 2k // check if everything that involves GF(4) multiplication (e.g. scrambling) gives the desired result 2 // b (base) 8 // numCols 8 // numRows // outDigits= numRows 256 // numPoints (=b^{numCols}) 17 // dim // 3 // Stregth, see comment above // in class DigitalNetBase2 // genMat[i] should be the i-th number below // 1 134217728 268435456 8388608 16777216 33554432 67108864 536870912 1073741824 // 2 671088640 1342177280 536870912 1073741824 33554432 67108864 545259520 1090519040 // 3 1207959552 1879048192 1610612736 536870912 33554432 67108864 545259520 1090519040 // 4 1744830464 805306368 1073741824 1610612736 33554432 67108864 545259520 1090519040 // 5 671088640 1342177280 1207959552 1879048192 570425344 1140850688 545259520 1090519040 // 6 134217728 268435456 1207959552 1879048192 570425344 1140850688 545259520 1090519040 // 7 1744830464 805306368 1778384896 872415232 536870912 1073741824 545259520 1090519040 // 8 1207959552 1879048192 1744830464 805306368 570425344 1140850688 545259520 1090519040 // 9 1476395008 1744830464 671088640 1342177280 1107296256 1677721600 545259520 1090519040 // 10 2013265920 671088640 1207959552 1879048192 1107296256 1677721600 545259520 1090519040 // 11 402653184 134217728 671088640 1342177280 1107296256 1677721600 545259520 1090519040 // 12 939524096 1207959552 1241513984 1946157056 1073741824 1610612736 545259520 1090519040 // 13 1879048192 939524096 1744830464 805306368 1644167168 603979776 545259520 1090519040 // 14 1342177280 2013265920 704643072 1409286144 1610612736 536870912 545259520 1090519040 // 15 805306368 1476395008 671088640 1342177280 1644167168 603979776 545259520 1090519040 // 16 268435456 402653184 1744830464 805306368 1644167168 603979776 545259520 1090519040 // 17 134217728 268435456 536870912 1073741824 33554432 67108864 8388608 16777216 // end of file