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A Partial-Inverse Approach to Decoding Reed-Solomon Codes and Polynomial Remainder Codes

Jiun-Hung Yu
Hartung-Gorre
64 € · Buch

Algebraic Coding Theory, Polynomial Remainder Codes Berlekamp-Massey Algorithm, Padé Approximation Error-Correcting Codes, Reed-Solomon Codes Euclidean Algorithm, Partial-Inverse Problem Simultaneous Partial-Inverse Problem

The thesis develops a new approach to the central themes of algebraic coding theory. The focus here is the newly introduced concept of a partial-inverse polynomial in a quotient ring F[x]/m(x). In particular, the decoding of Reed-Solomon codes can be attributed to the computation of a partial-invers...

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