Geodesic
On the Automorphism Groups of some AG-Codes Based on Ca;b Curves
Serdica Journal of Computing, Tome 1 (2007) no. 2, pp. 193-206

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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.
Keywords: Cab Curves, AG-Codes, Automorphism Groups 
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Shaska, Tanush; Wang, Quanlong. On the Automorphism Groups of some AG-Codes Based on Ca;b Curves. Serdica Journal of Computing, Tome 1 (2007) no. 2, pp. 193-206. http://geodesic.mathdoc.fr/item/SJC_2007_1_2_a5/