On the Automorphism Groups of some AG-Codes Based on Ca;b Curves

Authors

  • Tanush Shaska
  • Quanlong Wang

DOI:

https://doi.org/10.55630/sjc.2007.1.193-206

Keywords:

Cab Curves, AG-Codes, Automorphism Groups

Abstract

We study Ca,b curves and their applications to coding theory. Recently, Joyner and Ksir have suggested a decoding algorithm based on the automorphisms of the code. We show how Ca;b curves can be used to construct MDS codes and focus on some Ca;b curves with extra automorphisms, namely y^3 = x^4 + 1, y^3 = x^4 - x, y^3 - y = x^4. The automorphism groups of such codes are determined in most characteristics.

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Published

2007-07-04

Issue

Section

Articles