External doubly-even codes of length 40 derived from Hadamard matrices of order 20
TLDR
The complete enumeration of all inequivalent extremal doubly-even codes derived from Hadamard matrices of order 20 is given.About:
This article is published in Discrete Mathematics.The article was published on 1990-05-01 and is currently open access. It has received 17 citations till now. The article focuses on the topics: Complex Hadamard matrix & Hadamard matrix.read more
Citations
More filters
Posted Content
Self-Dual Codes
Eric M. Rains,Neil J. A. Sloane +1 more
TL;DR: A survey of self-dual codes is given in this paper, where the authors present a comprehensive bibliography of codes over F2, F3, F4, Fq, Z4, Zm, shadow codes, weight enumerators, invariant theory, Gleason theorems, bounds, mass formulae, enumeration, extremal codes.
Journal ArticleDOI
Extremal binary self-dual codes
TL;DR: In this correspondence, the first extremal Type I [86,43,16] code and new extremal self-dual codes with weight enumerators which were not previously known to exist for lengths 40,50,52 and 54 are constructed.
Journal ArticleDOI
On the classification and enumeration of self-dual codes
TL;DR: This article is a survey of the current status of the classification and enumeration of self-dual linear codes of small to moderate lengths over the fields F"2, F"3, and F"4 and the rings Z"4.
Journal ArticleDOI
Extremal self-dual codes with an automorphism of order 2
S. Buyuklieva,N. Boukliev +1 more
TL;DR: In this paper, a method to design binary self-dual codes with an automorphism of order two without fixed points is presented, and extremal self-doubles with lengths 40, 42, 44, 54, 58, 68 are constructed.
Extremal Self-Dual Codes with an Automorphism of Order
Stefka Buyuklieva,Iliya Boukliev +1 more
TL;DR: A method to design binary self-dual codes with an automorphism of order two without fixed points is presented and many of them have weight enumerators for which extremal codes were previously not known to exist.
References
More filters
Journal ArticleDOI
Self-orthogonal designs and extremal doubly even codes
TL;DR: A general method unifying the known constructions of binary self-orthogonal codes from designs is described, finding more than 70 inequivalent extremal doubly even self-dual codes of length 40 constructed from Hadamard matrices of order 20.
Journal ArticleDOI
New extremal doubly-even codes of length 56 derived from hadamard matrices of order 28
TL;DR: Four new doubly-even codes are constructed from Hadamard matrices of order 28 from EMMARM, including 56, 28, 12 and 56/28.