// 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 DigitalNet // 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 3 // b (base) 16 // numCols 16 // numRows // outDigits= numRows 43046721 // numPoints (=b^{numCols}) 17220 // dim // 3 // Stregth, see comment above // in class DigitalNet // genMat[i][j] should be the j-th entry of the i-th row below // 1 0 0 2 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 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