Title :
Minimum cyclotomic coset representatives and their applications to BCH codes and Goppa codes
Author :
Yue, Dian-Wu ; Feng, Guang-zeng
Author_Institution :
Dept. of Telecommun. Eng., Nanjing Univ. of Posts & Telecommun., China
fDate :
11/1/2000 12:00:00 AM
Abstract :
We consider the minimum cyclotomic coset representatives and derive some of their properties. The results allow more precise estimates of the dimension of Bose-Chaudhuri-Hocquenghem (BCH) and classical Goppa codes of a given designed minimum distance, and more precise estimates of the true designed distance of BCH codes and the minimum distance of classical Goppa codes
Keywords :
BCH codes; Goppa codes; set theory; BCH codes; Bose-Chaudhuri-Hocquenghem codes; Goppa codes; code dimension; minimum cyclotomic coset representatives; minimum distance; true designed distance; Codes; Galois fields;
Journal_Title :
Information Theory, IEEE Transactions on
