On Fourier-invariant partitions of finite Abelian groups and the MacWilliams identity for group codes
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Publication:1389275
zbMath0898.20031MaRDI QIDQ1389275
Victor A. Zinoviev, Thomas Ericson
Publication date: 8 July 1998
Published in: Problems of Information Transmission (Search for Journal in Brave)
Linear codes (general theory) (94B05) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite abelian groups (20K01) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)
Related Items (8)
The homogeneous weight partition and its character-theoretic dual ⋮ The linear programming bound for codes over finite Frobenius rings ⋮ Duality of codes supported on regular lattices, with an application to enumerative combinatorics ⋮ Partitions of Frobenius rings induced by the homogeneous weight ⋮ MacWilliams extension theorems and the local-global property for codes over Frobenius rings ⋮ Characterization of \(p\)-ary functions in terms of association schemes and its applications ⋮ Fourier-reflexive partitions and MacWilliams identities for additive codes ⋮ Association schemes on general measure spaces and zero-dimensional abelian groups
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