Group Partitions and Mixed Perfect Codes
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Publication:4075099
DOI10.4153/CMB-1975-011-2zbMath0315.20044OpenAlexW2320697514MaRDI QIDQ4075099
Publication date: 1975
Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4153/cmb-1975-011-2
Theory of error-correcting codes and error-detecting codes (94B99) Direct sums, direct products, etc. for abelian groups (20K25) Combinatorial aspects of packing and covering (05B40) Abelian groups (20K99)
Related Items (20)
Characterization of extended Hamming and Golay codes as perfect codes in poset block spaces ⋮ Maximal partial spreads and two-weight codes ⋮ A SURVEY OF THE DIFFERENT TYPES OF VECTOR SPACE PARTITIONS ⋮ \(\mathbb Z_2\mathbb Z_4\)-linear codes: Generator matrices and duality ⋮ Partitions of finite Abelian groups ⋮ Further results on the covering radius of small codes ⋮ New upper bounds for binary covering codes ⋮ Partitions of a vector space ⋮ Partitions of finite vector spaces into subspaces ⋮ Gaussian partitions ⋮ Inhomogeneous quantum codes. III: The asymmetric case ⋮ The structure of the minimum size supertail of a subspace partition ⋮ \(Z_2Z_4\)-linear codes: rank and kernel ⋮ Partitions of the 8-dimensional vector space over GF(2) ⋮ The complete characterization of the minimum size supertail in a subspace partition ⋮ On the non-existence of certain perfect mixed codes ⋮ Necessary and sufficient conditions for the existence of a class of partitions of a finite vector space ⋮ On rank and kernel of some mixed perfect codes ⋮ Partitions of $Z_2^n $ ⋮ The Frobenius number and partitions of a finite vector space
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