On the classification of self-dual [20,10,9] codes over GF(7)

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Nov 2016Embargo end date: 01 Jan 2015 English Publisher:Elsevier BVJournal:Finite Fields and Their Applications, volume 42, pages 57-66 (issn: 1071-5797,

Copyright policy )

Authors: Masaaki Harada; Akihiro Munemasa;

doi: 10.1016/j.ffa.2016.07.004 , 10.48550/arxiv.1509.03731

arXiv: 1509.03731

On the classification of self-dual [20,10,9] codes over GF(7)

- Summary
- Subjects
- Metrics

Abstract

It is shown that the extended quadratic residue code of length 20 over GF(7) is a unique self-dual [20,10,9] code C such that the lattice obtained from C by Construction A is isomorphic to the 20-dimensional unimodular lattice D_{20}^+, up to equivalence. This is done by converting the classification of such self-dual codes to that of skew-Hadamard matrices of order 20.

10 pages, minor revision

Related Organizations

Tohoku University
Japan

Keywords

FOS: Mathematics, Mathematics - Combinatorics, 94B05, Combinatorics (math.CO)

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	2
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average