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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 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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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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