Welch-Berlekamp定理的推广及译码算法超越BCH界的通用策略

Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1995-11-20 DOI:10.1360/YA1995-38-11-1387

Xin Dingjia

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引用次数: 2

摘要

考虑到cydic码的译码，得到了错误模式预测的一般公式。对Welch-Berlekamp定理进行了扩展，对Welch-Berlekamp算法进行了扩展，从而打破了BCH界的限制，使该算法在对BCH码和一般cydic码进行译码时，既满足实际最小距离，又满足超过最小距离的完全译码。

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Extension of Welch-Berlekamp theorem and universal strategy of decoding algorithm beyond BCH bound

In consideration of decoding cydic codes, a general formula for error pattern prediction is obtained. It extends the Welch-Berlekamp theorem and expands the Welch-Berlekamp algorithm, so that the limitation from BCH bound is broken, and the algorithm turns into a universal one which meets the actual minimum distance as well as complete decoding beyond the minimum distance in the case of decoding BCH codes and general cydic codes.

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Science in China Series A-Mathematics, Physics, Astronomy & Technological Science

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