Generalized Hamming Weights of Cyclic Codes from Algebraic Function Fields

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.756-759.2588 ◽

2013 ◽

Vol 756-759 ◽

pp. 2588-2592

Author(s):

Wan Bao Hu ◽

Xiao Hong Fang

Keyword(s):

Linear Code ◽

Cyclic Codes ◽

Function Fields ◽

Algebraic Function ◽

Generalized Hamming Weights ◽

Trace Codes ◽

Algebraic Function Fields ◽

Hamming Weights ◽

Overlap Structures

The generalized Hamming weights of a linear code are fundamental code parameters related to the minimal overlap structures of the subcodes. In this paper, some results are presented on the estimates of generalized Hamming weights of cyclic codes, which connect their corresponding trace codes.

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Generalized Hamming weights for duals of BCH codes, and maximal algebraic function fields

Arithmetic, Geometry, and Coding Theory ◽

10.1515/9783110811056.53 ◽

2012 ◽

Author(s):

Iwan Duursma ◽

Henning Stichtenoth ◽

Conny Voss

Keyword(s):

Function Fields ◽

Algebraic Function ◽

Bch Codes ◽

Generalized Hamming Weights ◽

Algebraic Function Fields ◽

Hamming Weights

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On the generalized Hamming weights of cyclic codes

IEEE Transactions on Information Theory ◽

10.1109/18.567719 ◽

1997 ◽

Vol 43 (1) ◽

pp. 299-308 ◽

Author(s):

H. Janwa ◽

A.K. Lal

Keyword(s):

Cyclic Codes ◽

Generalized Hamming Weights ◽

Hamming Weights

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Improvements on Generalized Hamming Weights of Some Trace Codes

Designs Codes and Cryptography ◽

10.1007/s10623-005-3394-0 ◽

2006 ◽

Vol 39 (2) ◽

pp. 215-231 ◽

Author(s):

Cem Güneri ◽

Ferruh Özbudak

Keyword(s):

Generalized Hamming Weights ◽

Trace Codes ◽

Hamming Weights

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Algebraic function fields

The Structure of Fields - Graduate Texts in Mathematics ◽

10.1007/978-1-4757-6802-2_5 ◽

1974 ◽

pp. 97-110

Author(s):

David Winter

Keyword(s):

Function Fields ◽

Algebraic Function ◽

Algebraic Function Fields

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Algebraic Function Fields and Global Function Fields

Graduate Texts in Mathematics - Number Theory in Function Fields ◽

10.1007/978-1-4757-6046-0_5 ◽

2002 ◽

pp. 45-61

Author(s):

Michael Rosen

Keyword(s):

Function Fields ◽

Algebraic Function ◽

Global Function ◽

Global Function Fields ◽

Algebraic Function Fields

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Algebraic function fields in two variables

Algebraic Numbers and Algebraic Functions ◽

10.1007/978-1-4899-3444-4_5 ◽

1991 ◽

pp. 176-181

Author(s):

P. M. Cohn

Keyword(s):

Function Fields ◽

Algebraic Function ◽

Algebraic Function Fields

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Algebraic Function Fields

An Invitation to Algebraic Numbers and Algebraic Functions ◽

10.1201/9780429506550-6 ◽

2020 ◽

pp. 465-566

Author(s):

Franz Halter-Koch

Keyword(s):

Function Fields ◽

Algebraic Function ◽

Algebraic Function Fields

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Algebraic function fields in two variables

Algebraic Numbers and Algebraic Functions ◽

10.1201/9781351069588-5 ◽

2018 ◽

pp. 176-181

Author(s):

P. M. Cohn

Keyword(s):

Function Fields ◽

Algebraic Function ◽

Algebraic Function Fields

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Elementary Abelianp-extensions of algebraic function fields

manuscripta mathematica ◽

10.1007/bf02568266 ◽

1991 ◽

Vol 72 (1) ◽

pp. 67-79 ◽

Author(s):

Arnaldo Garcia ◽

Henning Stichtenoth

Keyword(s):

Function Fields ◽

Algebraic Function ◽

Algebraic Function Fields

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An abstract prime number theorem relating to algebraic function fields

Archiv der Mathematik ◽

10.1007/bf01220405 ◽

1977 ◽

Vol 29 (1) ◽

pp. 271-279 ◽

Author(s):

J. Knopfmacher

Keyword(s):

Prime Number ◽

Function Fields ◽

Algebraic Function ◽

Prime Number Theorem ◽

Algebraic Function Fields

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