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JOURNALS // Problemy Peredachi Informatsii // Archive

Probl. Peredachi Inf., 2019 Volume 55, Issue 4, Pages 76–85 (Mi ppi2304)

This article is cited in 1 paper

Coding Theory

On lower bounds on the spectrum of a binary code

M. V. Burnashev

Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia

Abstract: We refine a lower bound on the spectrum of a binary code. We give a simple derivation of the known bound on the undetected error probability of a binary code.

Keywords: spectrum of a binary code, constant-weight code, undetected error probability.

UDC: 621.391.1 : 519.2

Received: 11.09.2019
Revised: 05.11.2019
Accepted: 12.11.2019

DOI: 10.1134/S055529231904003X


 English version:
Problems of Information Transmission, 2019, 55:4, 366–375

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© Steklov Math. Inst. of RAS, 2026