Programmable systolic BCH decoder

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371 35, 371 378, 364DIG1, 3642599, 3642622, G06F 1110

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053234022

ABSTRACT:
A programmable decoder that provides both error and erasure decoding for all Reed-Solomon, primitive BCH, non-primitive BCH, and binary BCH codes of any rate over any field is disclosed. The user can specify decoding parameters including the code block-length, the code-generator polynomial, and the field-generator polynomial. The basic architecture, less the small overhead for programmability, is also recommended for fixed-code applications. The decoding processor of the decoder includes systolic arrays implementing a syndrome calculator, a key equation solver, a Chien search, a recursive extender, and an inverse transform. The number of cells required for each of the five functions is on order of the error correction capability t. The systolic arrays can be fabricated on a single VLSI microchip that is itself systolic. Each of the individual systolic arrays can extended by arraying microchips together, so that any desired error correction capability can be attained by using multiple systolic microchips with a single controller.

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