Unique Decoding of General AG Codes

Kwankyu Lee; Maria Bras-Amorós; Michael E. O'Sullivan

doi:10.1109/tit.2014.2306816

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arXiv · 1210.3101

Unique Decoding of General AG Codes

Kwankyu Lee·Maria Bras-Amorós·Michael E. O'Sullivan

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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.

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Kwankyu Lee, Maria Bras-Amorós, Michael E. O'Sullivan. 2012-10-11. Unique Decoding of General AG Codes. https://doi.org/10.1109/tit.2014.2306816

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