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GOPPA CODES FROM ARTIN-SCHREIER FUNCTION FIELDS |
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Citation: |
Han Wenbao.GOPPA CODES FROM ARTIN-SCHREIER FUNCTION FIELDS[J].Chinese Annals of Mathematics B,1994,15(3):311~320 |
Page view: 883
Net amount: 728 |
Authors: |
Han Wenbao; |
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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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