Title :
Automorphism groups of some AG codes
Author :
Joyner, David ; Ksir, Amy
Author_Institution :
Dept. of Math., US Naval Acad., Annapolis, MD, USA
fDate :
7/1/2006 12:00:00 AM
Abstract :
In this correspondence, we show that in many cases, the automorphism group of a curve and the permutation automorphism group of a corresponding AG code are the same. This generalizes a result of Wesemeyer beyond the case of planar curves.
Keywords :
algebraic geometric codes; AG code; algebraic-geometric code; permutation automorphism group; Algebra; Application software; Codes; Computer errors; Decoding; Encoding; Galois fields; Kernel; Mathematics; Packaging; Algebraic-geometric codes; Riemann–Roch spaces; algebraic curves, code automorphisms;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2006.876243
