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.

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

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 
@article{SJC_2007_1_2_a5,
     author = {Shaska, Tanush and Wang, Quanlong},
     title = {On the {Automorphism} {Groups} of some {AG-Codes} {Based} on {Ca;b} {Curves}},
     journal = {Serdica Journal of Computing},
     pages = {193--206},
     publisher = {mathdoc},
     volume = {1},
     number = {2},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SJC_2007_1_2_a5/}
}
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
SP  - 193
EP  - 206
VL  - 1
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJC_2007_1_2_a5/
LA  - en
ID  - SJC_2007_1_2_a5
ER  - 
%0 Journal Article
%A Shaska, Tanush
%A Wang, Quanlong
%T On the Automorphism Groups of some AG-Codes Based on Ca;b Curves
%J Serdica Journal of Computing
%D 2007
%P 193-206
%V 1
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJC_2007_1_2_a5/
%G en
%F SJC_2007_1_2_a5
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/