Generation of matrices for determining minimum distance and decoding of algebraic-geometric codes

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...

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Bibliographic Details
Published inIEEE transactions on information theory Vol. 41; no. 6; pp. 1703 - 1708
Main Authors Ba-Zhong Shen, Tzeng, K.K.
Format Journal Article
LanguageEnglish
Published New York IEEE 01.11.1995
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Algebra
Codes
Conferences
Cost accounting
Decoding
Galois fields
Geometry
Information theory
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Summary: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.
ISSN:0018-9448
1557-9654
DOI:10.1109/18.476243