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Nonexistence of nontrivial perfect codes in case \(q=p^r_1p^s_2\), \(e\geq 3\)

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Publication:1241419
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DOI10.1016/0012-365X(77)90152-2zbMath0365.94017MaRDI QIDQ1241419

Aimo Tietäväinen

Publication date: 1977

Published in: Discrete Mathematics (Search for Journal in Brave)



Mathematics Subject Classification ID

Theory of error-correcting codes and error-detecting codes (94B99)


Related Items (2)

Upper bounds for the cardinality of s-distances codes ⋮ On the nonexistence of nontrivial perfect e-codes and tight 2e-designs in Hamming schemes H(n,q) with e\(\geq 3\) and q\(\geq 3\)



Cites Work

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  • Two theorems on perfect codes
  • Perfect codes in graphs
  • Four fundamental parameters of a code and their combinatorial significance
  • On the Nonexistence of Perfect Codes over Finite Fields
  • Rook domains, Latin squares, affine planes, and error-distributing codes
  • A survey of perfect codes
  • Coding theory


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