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Problemy Peredachi Informatsii, 2016, Volume 52, Issue 3, Pages 84–91
(Mi ppi2213)
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This article is cited in 4 scientific papers (total in 4 papers)
Coding Theory
Multicomponent codes with maximum code distance
E. M. Gabidulin, N. I. Pilipchuk Moscow Institute of Physics and Technology (State University), Moscow, Russia
Abstract:
We consider subspace codes, called multicomponent codes with zero prefix (MZP codes), whose subspace code distance is twice their dimension. We find values of parameters for which the codes are of the maximum cardinality. We construct combined codes where the last component of the multicomponent code is the code from [1] found by exhaustive search for particular parameter values. As a result, we obtain a family of subspace codes with maximum cardinality for a number of parameters. We show that the family of maximum-cardinality codes can be extended by using dual codes.
Received: 29.12.2015 Revised: 01.03.2016
Citation:
E. M. Gabidulin, N. I. Pilipchuk, “Multicomponent codes with maximum code distance”, Probl. Peredachi Inf., 52:3 (2016), 84–91; Problems Inform. Transmission, 52:3 (2016), 276–283
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https://www.mathnet.ru/eng/ppi2213 https://www.mathnet.ru/eng/ppi/v52/i3/p84
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Abstract page: | 276 | Full-text PDF : | 54 | References: | 35 | First page: | 15 |
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