Construction and decoding of a class of algebraic geometry codes |
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| Authors: | Justesen J. Larsen K.J. Jensen H.E. Havemose A. Hoholdt T. |
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| Affiliation: | Inst. of Circuit Theory & Telecommun., Tech. Univ. of Denmark, Lyngby; |
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| Abstract: | A class of codes derived from algebraic plane curves is constructed. The concepts and results from algebraic geometry that were used are explained in detail; no further knowledge of algebraic geometry is needed. Parameters, generator and parity-check matrices are given. The main result is a decoding algorithm which turns out to be a generalization of the Peterson algorithm for decoding BCH decoder codes |
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