GOPPA CODES FROM ARTIN-SCHREIER FUNCTION FIELDS

Citation:

Han Wenbao.GOPPA CODES FROM ARTIN-SCHREIER FUNCTION FIELDS[J].Chinese Annals of Mathematics B,1994,15(3):311~320
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Authors:

Han Wenbao;
Abstract: A class of Goppa codes is constructed by using Artin-Schreier function fields, of which the number of prime divisors of degree one is obtained for some cases, and their minimum distance, duality and self-duality are discussed. At last the subfield subcode of Artin-Schreier code is investigated, the true dimension under certain conditions is given and the covering radius and minimum distance are estimated.

Keywords:

Artin-Schreier function field, Goppa code, Self-duality.

Classification:

11T, 94B.
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