Title :
On the duals of binary BCH codes
Author :
Voloch, José Felipe
Author_Institution :
Dept. of Math., Texas Univ., Austin, TX, USA
fDate :
7/1/2001 12:00:00 AM
Abstract :
We give bounds for the minimal distance of duals of binary Bose-Chaudhuri-Hocquenghem (BCH) codes in a range where the Carlitz-Uchiyama bound is trivial. This is done by estimating the number of points on certain curves over finite fields
Keywords :
BCH codes; binary codes; dual codes; BCH codes; Bose-Chaudhuri-Hocquenghem codes; Carlitz-Uchiyama bound; binary codes; dual codes; finite fields; minimal distance bounds; Additives; Codes; Galois fields; Mathematics;
Journal_Title :
Information Theory, IEEE Transactions on