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Problemy Peredachi Informatsii, 1993, Volume 29, Issue 2, Pages 28–40 (Mi ppi173)  
Information Theory and Coding Theory

Distance Spectra of Lattice-Based Codes

A. N. Trofimov
Full-text PDF (1278 kB)
Abstract: We consider the problem of finding the distance spectrum for a finite subset of a lattice. As basic examples of such subsets, we consider the codes with constant norm (spherical codes) and the codes with bounded norm (spherical clusters). The problem is solved using the extended lattice generating function. The computational results for particular examples are presented. The asymptotics of the distance spectrum is investigated.
Received: 26.03.1992
Bibliographic databases:
Document Type: Article
UDC: 621.391.15:519.1
Language: Russian
Citation: A. N. Trofimov, “Distance Spectra of Lattice-Based Codes”, Probl. Peredachi Inf., 29:2 (1993), 28–40; Problems Inform. Transmission, 29:2 (1993), 119–131
Citation in format AMSBIB
\Bibitem{Tro93}
\by A.~N.~Trofimov
\paper Distance Spectra of Lattice-Based Codes
\jour Probl. Peredachi Inf.
\yr 1993
\vol 29
\issue 2
\pages 28--40
\mathnet{http://mi.mathnet.ru/ppi173}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1239160}
\zmath{https://zbmath.org/?q=an:0814.94024}
\transl
\jour Problems Inform. Transmission
\yr 1993
\vol 29
\issue 2
\pages 119--131
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    		Проблемы передачи информации Problems of Information Transmission
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