paper

Unique Decoding of General AG Codes

arXiv:1210.3101 · doi:10.1109/TIT.2014.2306816

Abstract

A unique decoding algorithm for general AG codes, namely multipoint evaluation codes on algebraic curves, is presented. It is a natural generalization of the previous decoding algorithm which was only for one-point AG codes. As such, it retains the same advantages of fast speed and regular structure with the previous algorithm. Compared with other known decoding algorithms for general AG codes, it is much simpler in its description and implementation.

11 pages,submitted to the IEEE Transactions on Information Theory; added a citation in the section III-C

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