Problemy Peredachi Informatsii
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Problemy Peredachi Informatsii, 1981, Volume 17, Issue 2, Pages 52–56 (Mi ppi1392)  
Information Theory and Coding Theory

On Packing Density for Unit Spheres in Hamming Space

G. L. Katsman
Full-text PDF (342 kB)
Abstract: The author constructs two nonlinear codes of length 66 and 143 that have minimum distance 3 and cardinality $24\cdot2^{55}$ and $144^2\cdot2^{121}$, respectively. These codes are used to improve the lower limit for the lower bound of the packing density of spheres of radius 1 in Hamming space.
Received: 20.08.1980
Bibliographic databases:
Document Type: Article
UDC: 621.391.15:513.3
Language: Russian
Citation: G. L. Katsman, “On Packing Density for Unit Spheres in Hamming Space”, Probl. Peredachi Inf., 17:2 (1981), 52–56; Problems Inform. Transmission, 17:2 (1981), 114–117
Citation in format AMSBIB
\Bibitem{Kat81}
\by G.~L.~Katsman
\paper On Packing Density for Unit Spheres in Hamming Space
\jour Probl. Peredachi Inf.
\yr 1981
\vol 17
\issue 2
\pages 52--56
\mathnet{http://mi.mathnet.ru/ppi1392}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=673729}
\zmath{https://zbmath.org/?q=an:0481.94014}
\transl
\jour Problems Inform. Transmission
\yr 1981
\vol 17
\issue 2
\pages 114--117
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    		Проблемы передачи информации Problems of Information Transmission
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