# American Institute of Mathematical Sciences

May  2016, 10(2): 307-319. doi: 10.3934/amc.2016007

## Decoding of differential AG codes

 1 Department of Mathematics Education, Chosun University, Gwangju 61452, South Korea

Received  May 2014 Published  April 2016

The interpolation-based decoding that was developed for general evaluation AG codes is shown to be equally applicable to general differential AG codes. A performance analysis of the decoding algorithm, which is parallel to that of its companion algorithm, is reported. In particular, the decoding capacities of evaluation AG codes and differential AG codes are seen to be interrelated symmetrically. As an interesting special case, a decoding algorithm for classical Goppa codes is presented.
Citation: Kwankyu Lee. Decoding of differential AG codes. Advances in Mathematics of Communications, 2016, 10 (2) : 307-319. doi: 10.3934/amc.2016007
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