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Extremal self-dual [40,20,8] codes with covering radius 7

Authors :
Kenichiro Tanabe
Masaaki Harada
Akihiro Munemasa
Source :
Finite Fields and Their Applications. 10:183-197
Publication Year :
2004
Publisher :
Elsevier BV, 2004.

Abstract

We construct new extremal self-dual [40,20,8] codes with covering radius 7. It is also shown that the vectors of a fixed weight in a coset of weight 4n+2 in an extremal doubly even self-dual code of length 24n+16 such that the coset has no vector of weight 4n+4 form a 1-design.

Subjects

Subjects :
Discrete mathematics
Code (set theory)
Algebra and Number Theory
Extremal length
Applied Mathematics
General Engineering
Radius
Covering code
Extremal self-dual code
Covering radius
Theoretical Computer Science
Dual (category theory)
Combinatorics
Coset
Engineering(all)
Harmonic weight enumerator and neighbor
Mathematics

Details

ISSN :
10715797
Volume :
10
Database :
OpenAIRE
Journal :
Finite Fields and Their Applications
Accession number :
edsair.doi.dedup.....788e9c9615b3ff77fc806c1e81d028f6

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