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Construction and decoding of a class of algebraic geometry codes

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5 Author(s)
Justesen, J. ; Inst. of Circuit Theory & Telecommun., Tech. Univ. of Denmark, Lyngby, Denmark ; Larsen, K.J. ; Jensen, H.E. ; Havemose, A.
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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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Information Theory, IEEE Transactions on  (Volume:35 ,  Issue: 4 )