Divisible codes

DOI10.1007/BF01223730zbMath0438.94014OpenAlexW4255145081MaRDI QIDQ1142197

Harold N. Ward

Publication date: 1981

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01223730

zbMATH Keywords

self-dual codesdivisible codesGleason-Pierce theoremrecast theorem

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

Related Items (16)

Divisors of codes of Reed-Muller type ⋮ Codes with given distances ⋮ Generalized \(H\)-codes and doubly even self-dual binary codes ⋮ Divisibility of weights for ideals in group algebras ⋮ A class of binary cyclic codes with five weights ⋮ An equivalence of Ward's bound and its application ⋮ On strongly walk regular graphs, triple sum sets and their codes ⋮ A lemma on binomial coefficients and applications to Lee weights modulo \(2^e\) of codes over \(\mathbb Z_4\) ⋮ The divisible code bound revisited ⋮ A generalized Gleason-Pierce-Ward theorem ⋮ Heden's bound on the tail of a vector space partition ⋮ Weight polarization and divisibility ⋮ Divisibility of codes meeting the Griesmer bound ⋮ Bounds on the minimum distance of the duals of extended BCH codes over \(\mathbb{F}_ p\) ⋮ On a class of abelian codes ⋮ Divisibility properties and new bounds for cyclic codes and exponential sums in one and several variables

Cites Work

• Self-dual codes over GF(4)
• Minimal codes in Abelian group algebras
• The Structure and Properties of Binary Cyclic Alphabets
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