Generalized MacWilliams identities and their applications to perfect binary codes

DOI10.1007/S10623-008-9222-6zbMath1237.94125OpenAlexW2008280615MaRDI QIDQ1009104

Jong Yoon Hyun

Publication date: 31 March 2009

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-008-9222-6

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

Related Items (5)

MacWilliams duality and a Gleason-type theorem on self-dual bent functions ⋮ Local duality theorem for \(q\)-ary 1-perfect codes ⋮ Unnamed Item ⋮ Local duality for equitable partitions of a Hamming space ⋮ Weighted Hamming metric structures

Cites Work

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• MacWilliams identities and matroid polynomials
• On the reconstruction of perfect codes
• Overlap and Covering Polynomials with Applications to Designs and Self-Dual Codes
• Perfect binary codes: constructions, properties, and enumeration

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