Shadow codes over \({\mathbb Z}_4\)

DOI10.1006/ffta.2000.0312zbMath1005.94023OpenAlexW2031905132MaRDI QIDQ1604409

Masaaki Harada, Patrick Solé, Steven T. Dougherty

Publication date: 4 July 2002

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/ffta.2000.0312

zbMATH Keywords

self-dual codesweight enumeratorsshadow codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Bounds on codes (94B65)

Related Items (9)

Construction of self-dual codes over \(\mathbb {Z}_{2^{m}}\) ⋮ CONSTRUCTION OF SOME UNIMODULAR LATTICES WITH LONG SHADOWS ⋮ On covering radius of codes over R = ℤ2 + uℤ2, where u2 = 0 using chinese euclidean distance ⋮ Optimal self-dual \(\mathbb Z_4\)-codes and a unimodular lattice in dimension 41 ⋮ On the covering radius of some modular codes ⋮ On codes over ℤp2 and its covering radius ⋮ Symmetric \((4,4)\)-nets and generalized Hadamard matrices over groups of order 4 ⋮ On the classification and enumeration of self-dual codes ⋮ On covering radius of codes over ℤ2p

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Über die Identität von MacWilliams für die Gewichtsfunktion von Codes
• On the enumeration of lattices of determinant one
• Self-dual codes over the integers modulo 4
• Cyclic self-dual \(\mathbb Z_4\)-codes.
• Optimal self-dual codes over \(\mathbb{Z}_4\)
• A new upper bound on the minimal distance of self-dual codes
• Weight enumerators of self-dual codes
• Existence of some extremal self-dual codes
• A linear construction for certain Kerdock and Preparata codes
• Type II codes over Z/sub 4/
• All self-dual Z/sub 4/ codes of length 15 or less are known
• Type II codes, even unimodular lattices, and invariant rings
• Shadow codes and weight enumerators
• Quaternary quadratic residue codes and unimodular lattices
• An upper bound for self-dual codes

This page was built for publication: Shadow codes over \({\mathbb Z}_4\)