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—In this correspondence, we give a new definition of generalized Hamming weights of nonlinear codes and a new interpretation connected with it. These generalized weights are determined by the en-tropy/length profile of the code. We show that this definition characterizes the performance of nonlinear codes on the wire-tap channel of type II. The new… (More)

AMrcrct-An approach for efficient utilization of fast Hadamard transform in decoding binary linear block codes is presented. Computational gain is obtained by employing various types of concurring codewords, and memory reduction is also achieved by appropriately selecting rows for the generator matix. The availability of these codewords in general, and… (More)

The problem of efficient maximum-likelihood soft decision decoding of binary BCH codes is considered. It is known that those primitive BCH codes whose designed distance is one less than a power of two, contain subcodes of high dimension which consist of a direct sum of several identical codes. We show that the same kind of direct-sum structure exists in all… (More)