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Problemy Peredachi Informatsii, 2017, Volume 53, Issue 3, Pages 44–53 (Mi ppi2242)  
Coding Theory

Nonlinear $q$-ary codes with large code distance

S. A. Stepanov

Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia
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Abstract: We construct a family of nonlinear $q$-ary codes obtained from the corresponding families of modified complex Butson–Hadamard matrices. Parameters of the codes are quite close to the Plotkin bound and in a number of cases attain this bound. Furthermore, these codes admit rather simple encoding and decoding procedures.
Received: 16.09.2014
Revised: 04.04.2017
English version:
Problems of Information Transmission, 2017, Volume 53, Issue 3, Pages 242–250
DOI: https://doi.org/10.1134/S003294601703005X
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: S. A. Stepanov, “Nonlinear $q$-ary codes with large code distance”, Probl. Peredachi Inf., 53:3 (2017), 44–53; Problems Inform. Transmission, 53:3 (2017), 242–250
Citation in format AMSBIB
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\issue 3
\pages 44--53
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\pages 242--250
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    		Проблемы передачи информации Problems of Information Transmission
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