Self-dual codes from circulant matrices

DOI10.1007/s10623-011-9510-4zbMath1263.94036OpenAlexW1988303232MaRDI QIDQ420630

E. Lappas, Stelios D. Georgiou

Publication date: 22 May 2012

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

Full work available at URL: https://doi.org/10.1007/s10623-011-9510-4

zbMATH Keywords

self-dual codescirculant matricesperiodic autocorrelation function

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Linear codes (general theory) (94B05)

Related Items

Block matrices and Guo's index for block circulant matrices with circulant blocks, New self-dual codes from \(2 \times 2\) block circulant matrices, group rings and neighbours of neighbours, On Skew E-W Matrices, Self-dual codes over \(\mathbb{F}_5\) and \(s\)-extremal unimodular lattices

Uses Software

• Magma

Cites Work

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• Double circulant and quasi-twisted self-dual codes over \(\mathbb F_5\) and \(\mathbb F_7\)
• On circulant self-dual codes over small fields
• The Magma algebra system. I: The user language
• Experimental constructions of self-dual codes
• On self-dual codes over some prime fields.