Parameters of Goppa codes revisited

Françoise Levy-dit-Vehel; Simon Litsyn

doi:10.1109/18.641547

Parameters of Goppa codes revisited

Françoise Levy-dit-Vehel^*, Simon Litsyn

^*Corresponding author for this work

School of Electrical Engineering

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

We discuss parameters of Goppa codes, such as minimum distance, covering radius, distance distribution, and generalized Hamming weights. By a variation on the exponential sums method and combinatorial arguments, we sharpen known bounds on these parameters.

Original language	English
Pages (from-to)	1811-1819
Number of pages	9
Journal	IEEE Transactions on Information Theory
Volume	43
Issue number	6
DOIs	https://doi.org/10.1109/18.641547
State	Published - 1997

Keywords

Covering radius
Distance distribution
Exponential sums
Generalized weights
Goppa codes

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10.1109/18.641547

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title = "Parameters of Goppa codes revisited",

abstract = "We discuss parameters of Goppa codes, such as minimum distance, covering radius, distance distribution, and generalized Hamming weights. By a variation on the exponential sums method and combinatorial arguments, we sharpen known bounds on these parameters.",

keywords = "Covering radius, Distance distribution, Exponential sums, Generalized weights, Goppa codes",

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KW - Exponential sums

KW - Generalized weights

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Parameters of Goppa codes revisited

Abstract

Keywords

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