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Abbreviations of Journals used in these Lectures
3 The Golay Code
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abbreviated algebraically array Assmus and Mattson BCH Codes BCH Decoding Berlekamp binary vectors BSTJ channel check polynomial code exists code of length codewords of weight coding theory coefficients contains Conway Correcting Codes coset representative cyclic code Definition dual code Elias Error-Correcting Codes errors occur Example extended Golay code extended Hamming code GF(q Gilbert bound Gleason's Theorem Goethals Group Codes Hadamard code Hamming code Information Theory integer invariants of G Justcsen code Justesen linear code linearly independent MATHEMATICS minimum distance modulo Molien series N.J.A. Sloane nonlinear codes nonzero number of codewords number of errors number of parity obtain overall parity check parity check matrix Perfect Codes PGIT polynomial basis polynomial g(x problem projective plane quadratic residue quadratic residue code Reed-Solomon rows of G self-dual code simplex code Suppose syndrome Tietavainen Upper Bounds vector of weight vectors of length weight distribution weight enumerator weigth wt(L wt(R wt(u zero