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Title: On the Automorphism Groups of some AG-Codes Based on Ca;b Curves
Authors: Shaska, Tanush
Wang, Quanlong
Keywords: Cab Curves
Automorphism Groups
Issue Date: 2007
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Serdica Journal of Computing, Vol. 1, No 2, (2007), 193p-206p
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.
Description: *Partially supported by NATO.
ISSN: 1312-6555
Appears in Collections:Volume 1 Number 2

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