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Abstract: In a previous correspondence, a decoding procedure which uses continued fractions and which is applicable to a wide class of algebraic codes�...
Addition to “A Method for Decoding of Generalized. Goppa Codes”. DAVID M. MANDELBAUM. Abstract-In a previous correspondence,' a decoding procedure which uses�...
Sep 1, 2006The efficiency of this method is significantly increased. Index Terms. Addition to 'A Method for Decoding of Generalized Goppa Codes'.
It is shown how the theory of continued fractions for polynomials can be used for the decoding of a class of codes which contains Goppa codes.
Jul 3, 2020There is the English translation of the original Geometry and Codes by Valery D. Goppa, Springer, 1988, written by the man himself.
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Feb 4, 2021A quadratic-time decoding algorithm is presented which can decode errors up to half of the minimum distance. Interleaved generalized Goppa codes�...
Missing: Addition Method
First, it is open to a great deal of generalization, as we shall later see. Second, it suggests a practical method for the decoding of GRS codes, the topic of�...
[BML13] came up with a probabilistic algorithm which generalized Patter- son's algorithm over any prime field Fp to increase the decoding radius of Goppa codes.
The decoding process of GRS codes reduces to the solution of a polynomial congruence equation, usually referred to as the key equation. Decoding schemes are�...
A short description is first given of the fascinating use of Hermitian curves and normal rational curves by Goppa in the construction of linear error�...