ieee transactions on information theory vol it 18 no 4 july 1972 503 new binary codes neil j a sloane member ieee sudhakar m reddy member ieee and chin long ...
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...Ieee transactions on information theory vol it no july new binary codes neil j a sloane member sudhakar m reddy and chin long chen abstract in this paper constructions are given for combining two redundancy r known to us again encoding decoding three or four obtain the andryanovsaskovets methods discussed construction is generalized shown that preparata double error section iii describes due goethals correcting may be extended by about block length symbols code its dual applications of which only one check symbol e bch triple cyclic sometimes several families linear nonlinear quadratic residue effect obtained finally an infinite family with d n rst being golay most have more codewords than any comparable previously iv different first order reed muller used dejinitions set vectors l differ at least places as examples words log however apart from none rate mentioned optimal extensive coset arbitrary translation tables upper lower bounds sizes where vector see if then cosets either equal ...