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Asymptotic Normality of Q-ary Linear Codes

Minjia Shi 1 Olivier Rioul 2, 3 Patrick Solé 4, 5 
1 Anhui University [Hefei]
2 COMNUM - Communications Numériques
LTCI - Laboratoire Traitement et Communication de l'Information
3 COMELEC - Département Communications & Electronique
4 I2M - Institut de Mathématiques de Marseille
5 CNRS - Centre National de la Recherche Scientifique
Abstract : Sidel’nikov proved in 1971 that the weight distribution of long binary codes is asymptotically Gaus- sian. 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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https://hal.telecom-paris.fr/hal-02300794
Contributor : Olivier Rioul Connect in order to contact the contributor
Submitted on : Saturday, August 28, 2021 - 2:51:40 PM
Last modification on : Wednesday, November 3, 2021 - 6:18:12 AM
Long-term archiving on: : Monday, November 29, 2021 - 6:09:47 PM

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  • HAL Id : hal-02300794, version 1

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INSTITUT-TELECOM | CNRS | UNIV-AMU | EC-MARSEILLE | INSMI | I2M | I2M-2014- | TDS-MACS | LTCI | COMELEC | COMNUM | IP_PARIS

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Minjia Shi, Olivier Rioul, Patrick Solé. Asymptotic Normality of Q-ary Linear Codes. IEEE Communications Letters, Institute of Electrical and Electronics Engineers, 2019, 23 (11), pp.1895-1898. ⟨hal-02300794⟩

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