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A (48, 31, 8) linear code (Corresp.)

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2 Author(s)

In this paper we construct a linear code having length 48, minimum distance 8, and containing 2^{31} codewords. This code is obtained by augmenting a (48,22,8) linear code with 2^9 - 1 cosets so that the minimum distance is not reduced. The (48,22,8) code used is the direct product of a (16,11,4) extended Hamming code and a (3,2,2) single-parity-check code. The new code has twice as many codewords as the best linear or nonlinear code previously known.

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Information Theory, IEEE Transactions on  (Volume:19 ,  Issue: 5 )