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Probl. Peredachi Inf., 2000, Volume 36, Issue 2, Pages 19–26 (Mi ppi475)  

Coding Theory

A Novel Construction of High-Rate Unit-Memory Codes

U. K. Sorger, J. Winter


Abstract: We present a new construction of a class of unit-memory (UM) codes based on two different $(n,k)$ block codes $\mathcal C_0\neq\mathcal C_1$. This construction is aimed at optimizing not only the free distance but also the extended row distance of a code. In particular, for nonbinary alphabets, we obtain codes with free distance $d_f>d_H(\mathcal C_0)+d_H(\mathcal C_1)$, where $d_H(\mathcal C)$ denotes the minimum Hamming distance of a code $\mathcal С$. This improves the results of [1–3]. This approach mainly applies to high-rate UM codes over large alphabets. Hereby, a drastic increase of the free distance is achieved, as compared to known constructions [1, 2, 4].

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English version:
Problems of Information Transmission, 2000, 36:2, 106–113

Bibliographic databases:
UDC: 621.391.15
Received: 22.03.1999
Revised: 23.08.1999

Citation: U. K. Sorger, J. Winter, “A Novel Construction of High-Rate Unit-Memory Codes”, Probl. Peredachi Inf., 36:2 (2000), 19–26; Problems Inform. Transmission, 36:2 (2000), 106–113

Citation in format AMSBIB
\Bibitem{SorWin00}
\by U.~K.~Sorger, J.~Winter
\paper A~Novel Construction of High-Rate Unit-Memory Codes
\jour Probl. Peredachi Inf.
\yr 2000
\vol 36
\issue 2
\pages 19--26
\mathnet{http://mi.mathnet.ru/ppi475}
\zmath{https://zbmath.org/?q=an:1023.94019}
\transl
\jour Problems Inform. Transmission
\yr 2000
\vol 36
\issue 2
\pages 106--113


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