Self-dual codes - Open Access .click

IEEE Transactions on Information Theory, 1997
Summary: In this correspondence, we investigate binary extremal self-dual codes. Numerous extremal self-dual codes and interesting self-dual codes with minimum weight \(d=14\) and 16 are constructed. In particular, the first extremal Type I \([86, 43, 16]\) code and new extremal self-dual codes with weight enumerators which were not previously known to
S T Dougherty, T A Gulliver
exaly +2 more sources

Self-Dual Codes

, 1998
In this chapter, we shall present some fundamental study on relatively self-dual codes over a finite commutative ring. Section 1.1 is devoted to the basic definitions and properties of such codes. In Section 1.2, we shall present our gluing technique for constructing relatively self-dual codes.
N. J. A. Sloane, E. M. Rains
openaire +2 more sources

Self-dual codes from smaller lengths of self-dual codes and recursive algorithm

, 2013
Summary: Self-dual codes have received great attention by researchers since the beginning of coding theory. In this work, some construction methods for this kind of codes are composed which produce new self-dual codes from self-dual codes of smaller lengths. A special one of these methods, called recursive algorithm, is also mentioned.
Topcu, Hatice, AKTAŞ, Hacı
core +4 more sources

On self-dual codes over some prime fields [PDF]

Discrete Mathematics, 2003
In this paper, we study self-dual codes over GF(p) where p=11,13,17,19,23 and 29. A classification of such codes for small lengths is given. The largest minimum weights of these codes are investigated.
Stelios D Georgiou +2 more
exaly +2 more sources

linear codes general theory
information theory cs.it
fos: computer and information sciences

computer science - information theory
self-dual code
cyclic codes

codes over rings
theoretical computer science
automorphism group