Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Serdica Journal of Computing, Vol. 1, No 2, (2007), 193p-206p
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.