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• W2068108353 abstract "Based on a finite Fourier transform of codewords over the finite field GF <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>(q^{m})</tex> , some basic properties of the class of Goppa codes are presented. A new lower bound on the minimum distance for these codes is derived and applied to a subclass of Goppa codes which is. in fact. equivalent to a subset of punctured reversible cyclic codes. Furthermore. it is shown how the class of Goppa codes can be easily decoded in the context of this transformation by using the Berlekamp-Massey decoding algorithm. Through a slight extension of the procedure, it is also shown how this algorithm may be used m decode alternant codes up to their guaranteed error-correction capability." @default.
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• W2068108353 date "1987-01-01" @default.
• W2068108353 modified "2023-09-26" @default.
• W2068108353 title "A transform approach to Goppa codes" @default.
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• W2068108353 doi "https://doi.org/10.1109/tit.1987.1057276" @default.
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