On linear and nonlinear single-error-correcting q-nary perfect codes

DOI10.1016/S0019-9958(68)90167-8zbMath0162.51203OpenAlexW2144005619MaRDI QIDQ5546455

J. Schönheim

Publication date: 1968

Published in: Information and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-9958(68)90167-8

zbMATH Keywords

linear single error-correcting binary perfect codesnonlinear single error-correcting binary perfect codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Other types of codes (94B60)

Related Items (13)

A Generalized Parity Function and Its Use in the Construction of Perfect Codes ⋮ Algebraic theory of block codes detecting independent errors ⋮ On non-full-rank perfect codes over finite fields ⋮ An enumeration of 1-perfect ternary codes ⋮ Projective tilings and full-rank perfect codes ⋮ On full-rank perfect codes over finite fields ⋮ On the embedding of constant-weight codes into perfect codes ⋮ On some perfect codes with respect to Lee metric ⋮ Systematic and nonsystematic perfect codes of infinite length over finite fields ⋮ On perfect \(p\)-ary codes of length \(p+1\) ⋮ Unnamed Item ⋮ Kernels and \(p\)-kernels of \(p^r\)-ary 1-perfect codes. ⋮ Une nouvelle famille de 3-codes parfaits sur GF(q)

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