Title :
Generation of matrices for determining minimum distance and decoding of algebraic-geometric codes
Author :
Shen, Ba-Zhong ; Tzeng, Kenneth K.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Lehigh Univ., Bethlehem, PA, USA
fDate :
11/1/1995 12:00:00 AM
Abstract :
Newton´s identities have played a significant role in decoding and minimum distance determination of cyclic and BCH codes. The present paper carries the notion over from cyclic codes to algebraic-geometric (AG) codes and introduces Newton´s identities for AG codes, also for the purpose of minimum distance determination and decoding
Keywords :
Newton method; algebraic geometric codes; decoding; matrix algebra; Newton´s identities; algebraic-geometric codes; decoding; matrices; minimum distance; Conferences; Cost accounting; Decoding; Galois fields; Information theory; Voting;
Journal_Title :
Information Theory, IEEE Transactions on
