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

Shaska, Tanush, and Wang, Quanlong. "On the Automorphism Groups of some AG-Codes Based on Ca;b Curves." Serdica Journal of Computing 1.2 (2007): 193-206. <http://eudml.org/doc/11419>.

@article{Shaska2007,
abstract = {*Partially supported by NATO.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.},
author = {Shaska, Tanush, Wang, Quanlong},
journal = {Serdica Journal of Computing},
keywords = {Cab Curves; AG-Codes; Automorphism Groups},
language = {eng},
number = {2},
pages = {193-206},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On the Automorphism Groups of some AG-Codes Based on Ca;b Curves},
url = {http://eudml.org/doc/11419},
volume = {1},
year = {2007},
}

TY - JOUR
AU - Shaska, Tanush
AU - Wang, Quanlong
TI - On the Automorphism Groups of some AG-Codes Based on Ca;b Curves
JO - Serdica Journal of Computing
PY - 2007
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 1
IS - 2
SP - 193
EP - 206
AB - *Partially supported by NATO.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.
LA - eng
KW - Cab Curves; AG-Codes; Automorphism Groups
UR - http://eudml.org/doc/11419
ER -