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Problemy Peredachi Informatsii, 2004, Volume 40, Issue 2, Pages 37–49 (Mi ppi131)  
Coding Theory

On the Nonexistence of Ternary $[284,6,188]$ Codes

R. N. Daskalov, E. Metodieva

Technical University of Gabrovo
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Abstract: Let $[n,k,d]_q$ codes be linear codes of length $n$, dimension $k$, and minimum Hamming distance $d$ over $GF(q)$. Let $n_q(k,d)$ be the smallest value of $n$ for which there exists an $[n,k,d]_q$ code. It is known from [1, 2] that $284\leq n_3(6,188)\leq 285$ and $285\leq n_3(6,189)\leq 286$. In this paper, the nonexistence of $[284,6,118]_3$ codes is proved, whence we get $n_3(6,118)=285$ and $n_3(6,189)=286$.
Received: 20.08.2003
Revised: 08.01.2004
English version:
Problems of Information Transmission, 2004, Volume 40, Issue 2, Pages 135–146
DOI: https://doi.org/10.1023/B:PRIT.0000043927.19508.8b
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: R. N. Daskalov, E. Metodieva, “On the Nonexistence of Ternary $[284,6,188]$ Codes”, Probl. Peredachi Inf., 40:2 (2004), 37–49; Problems Inform. Transmission, 40:2 (2004), 135–146
Citation in format AMSBIB
\Bibitem{DasMet04}
\by R.~N.~Daskalov, E.~Metodieva
\paper On the Nonexistence of Ternary $[284,6,188]$ Codes
\jour Probl. Peredachi Inf.
\yr 2004
\vol 40
\issue 2
\pages 37--49
\mathnet{http://mi.mathnet.ru/ppi131}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2099007}
\zmath{https://zbmath.org/?q=an:1096.94036}
\transl
\jour Problems Inform. Transmission
\yr 2004
\vol 40
\issue 2
\pages 135--146
\crossref{https://doi.org/10.1023/B:PRIT.0000043927.19508.8b}
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