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Asymptotic Normality of Q-ary Linear Codes

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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Contributor : Olivier Rioul <>
Submitted on : Sunday, September 29, 2019 - 9:20:20 PM
Last modification on : Tuesday, December 1, 2020 - 3:34:02 PM


  • HAL Id : hal-02300794, version 1


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



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