Zobrazeno 1 - 10
of 97
pro vyhledávání: '"A. Tylyshchak"'
In this work, we define a modification of a bordered construction for self-dual codes which utilises $\lambda$-circulant matrices. We provide the necessary conditions for the construction to produce self-dual codes over finite commutative Frobenius r
Externí odkaz:
http://arxiv.org/abs/2109.00908
In this paper, we present a new bordered construction for self-dual codes which employs $\lambda$-circulant matrices. We give the necessary conditions for our construction to produce self-dual codes over a finite commutative Frobenius ring of charact
Externí odkaz:
http://arxiv.org/abs/2108.09184
In this paper, we construct self-dual codes from a construction that involves both block circulant matrices and block quadratic residue circulant matrices. We provide conditions when this construction can yield self-dual codes. We construct self-dual
Externí odkaz:
http://arxiv.org/abs/2003.05296
Many generator matrices for constructing extremal binary self-dual codes of different lengths have the form G=(I|A), where I is the n by n identity matrix and A is the n by n matrix fully determined by the first row. In this work, we define a generat
Externí odkaz:
http://arxiv.org/abs/2003.05064
In this paper, we construct self-dual codes from a construction that involves 2x2 block circulant matrices, group rings and a reverse circulant matrix. We provide conditions whereby this construction can yield self-dual codes. We construct self-dual
Externí odkaz:
http://arxiv.org/abs/2002.09789
We introduce an altered version of the four circulant construction over group rings for self-dual codes. We consider this construction over the binary field, the rings F_2 + uF_2 and F_4 + uF_4; using groups of order 3, 7, 9, 13, and 15. Through thes
Externí odkaz:
http://arxiv.org/abs/1912.11758
Publikováno v:
In Discrete Mathematics August 2023 346(8)
Publikováno v:
In Discrete Mathematics November 2021 344(11)
We give constructions of self-dual and formally self-dual codes from group rings where the ring is a finite commutative Frobenius ring. We improve the existing construction given in \cite{Hurley1} by showing that one of the conditions given in the th
Externí odkaz:
http://arxiv.org/abs/1604.07863
Autor:
A.A. Tylyshchak, M. Demko
Publikováno v:
Karpatsʹkì Matematičnì Publìkacìï, Vol 13, Iss 1, Pp 127-133 (2021)
We consider monomial matrices over a commutative local principal ideal ring $R$ of type $M(t,k,n)=\Phi\left(\begin{smallmatrix}I_k&0\\0\,\,&tI_{n-k}\end{smallmatrix}\right)$, $0
Externí odkaz:
https://doaj.org/article/73d6e54fdd7d4758acf1daa62d42bf09