// 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 q nets transformed so that they can be used as if they were DigitalNetBase2 // details: an Element "a_i X^i" is represented as binary eq-tuple "a_i" // each "column" c of the GF(q) generator is replaced by the eq columns X^i c // so we have the eq-times numbers of columns and rows as in the GF(q) matrix // Note, the strength remains the GF(q) strength k, but there are many projections have strength in the range k to eq*k // check if everything that involves GF(q) multiplication (e.g. scrambling) gives the desired result 2 // b (base) 12 // numCols 12 // numRows // outDigits= numRows 4096 // numPoints (=b^{numCols}) 17 // dim // 3 // Stregth, see comment above // in class DigitalNetBase2 // genMat[i] should be the i-th number below // 1 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 // 2 2030043136 1778384896 1275068416 159383552 2021654528 1761607680 1241513984 201326592 134742016 269484032 538968064 1077936128 // 3 1728053248 1602224128 780140544 1417674752 813694976 1627389952 1509949440 738197504 134742016 269484032 538968064 1077936128 // 4 2071986176 1862270976 1333788672 243269632 679477248 1358954496 973078528 1946157056 134742016 269484032 538968064 1077936128 // 5 1602224128 780140544 1417674752 947912704 813694976 1627389952 1509949440 738197504 134742016 269484032 538968064 1077936128 // 6 494927872 847249408 1694498816 1535115264 1887436800 2030043136 1778384896 1275068416 134742016 269484032 538968064 1077936128 // 7 1988100096 2088763392 1753219072 1224736768 1619001344 1493172224 704643072 1409286144 134742016 269484032 538968064 1077936128 // 8 1694498816 1535115264 788529152 1468006400 1887436800 2030043136 1778384896 1275068416 134742016 269484032 538968064 1077936128 // 9 159383552 318767104 637534208 1166016512 2021654528 1761607680 1241513984 201326592 134742016 269484032 538968064 1077936128 // 10 1526726656 771751936 1434451968 981467136 679477248 1358954496 973078528 1946157056 134742016 269484032 538968064 1077936128 // 11 1350565888 956301312 1912602624 2080374784 134217728 268435456 536870912 1073741824 134742016 269484032 538968064 1077936128 // 12 880803840 1619001344 1493172224 704643072 1753219072 1224736768 167772160 335544320 134742016 269484032 538968064 1077936128 // 13 838860800 1677721600 1501560832 721420288 1216348160 150994944 301989888 603979776 134742016 269484032 538968064 1077936128 // 14 503316480 897581056 1652555776 1560281088 1619001344 1493172224 704643072 1409286144 134742016 269484032 538968064 1077936128 // 15 1409286144 964689920 1929379840 2113929216 1753219072 1224736768 167772160 335544320 134742016 269484032 538968064 1077936128 // 16 1920991232 2097152000 1803550720 1325400064 1216348160 150994944 301989888 603979776 134742016 269484032 538968064 1077936128 // 17 142606336 285212672 570425344 1140850688 8388608 16777216 33554432 67108864 134742016 269484032 538968064 1077936128 // end of file