Asymptotic Normality of Q-Ary Linear Codes

Minjia Shi; Olivier Rioul; Patrick Sole

doi:10.1109/LCOMM.2019.2935729

Asymptotic Normality of Q-Ary Linear Codes

Minjia Shi
, Olivier Rioul
, Patrick Sole

Anhui University
CNRS LTCI
Aix Marseille Université

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

Sidel'nikov proved in 1971 that the weight distribution of long binary codes is asymptotically Gaussian. Delsarte sketched in 1975 an extension of this result to Q -ary codes when Q > 2. In this note, we complete Delsarte's proof.

langue originale	Anglais
Numéro d'article	8804213
Pages (de - à)	1895-1898
Nombre de pages	4
journal	IEEE Communications Letters
Volume	23
Numéro de publication	11
Les DOIs	https://doi.org/10.1109/LCOMM.2019.2935729
état	Publié - 1 nov. 2019
Modification externe	Oui

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10.1109/LCOMM.2019.2935729

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title = "Asymptotic Normality of Q-Ary Linear Codes",

abstract = "Sidel'nikov proved in 1971 that the weight distribution of long binary codes is asymptotically Gaussian. Delsarte sketched in 1975 an extension of this result to Q -ary codes when Q > 2. In this note, we complete Delsarte's proof.",

keywords = "Berry's inequality, Linear codes, weight distribution",

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AB - Sidel'nikov proved in 1971 that the weight distribution of long binary codes is asymptotically Gaussian. Delsarte sketched in 1975 an extension of this result to Q -ary codes when Q > 2. In this note, we complete Delsarte's proof.

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KW - weight distribution

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DO - 10.1109/LCOMM.2019.2935729

M3 - Article

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JO - IEEE Communications Letters

JF - IEEE Communications Letters

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Asymptotic Normality of Q-Ary Linear Codes

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