Zobrazeno 1 - 10
of 303
pro vyhledávání: '"Tonchev, Vladimir"'
Autor:
Rukavina, Sanja, Tonchev, Vladimir D.
The parameters 2-(36,15,6) are the smallest parameters of symmetric designs for which a complete classification up to isomorphism is yet unknown. Bouyukliev, Fack and Winne classified all 2-$(36,15,6)$ designs that admit an automorphism of odd prime
Externí odkaz:
http://arxiv.org/abs/2403.03381
A maximal arc of degree k in a finite projective plane P of order q = ks is a set of (q-s+1)k points that meets every line of P in either k or 0 points. The collection of the nonempty intersections of a maximal arc with the lines of P is a resolvable
Externí odkaz:
http://arxiv.org/abs/2403.03189
New examples of self-dual near-extremal ternary codes of length 48 derived from 2-(47,23,11) designs
Autor:
Rukavina, Sanja, Tonchev, Vladimir D.
In a recent paper [M. Araya, M. Harada, Some restrictions on the weight enumerators of near-extremal ternary self-dual codes and quaternary Hermitian self-dual codes, Des. Codes Cryptogr., 91 (2023), 1813--1843], Araya and Harada gave examples of sel
Externí odkaz:
http://arxiv.org/abs/2310.18796
A family of $\omega$-circulant balanced weighing matrices with classical parameters is used for the construction of optimal constant weight codes over an alphabet of size $g+1$ and length $n=(q^m -1)/(q-1)$, where $q$ is an odd prime power, $m>1$, an
Externí odkaz:
http://arxiv.org/abs/2307.13662
A classification of Hadamard matrices of order $2p+2$ with an automorphism of order $p$ is given for $p=29$ and $31$. The ternary self-dual codes spanned by the newly found Hadamard matrices of order $60$ with an automorphism of order $29$ are comput
Externí odkaz:
http://arxiv.org/abs/2307.08983
Autor:
Rukavina, Sanja, Tonchev, Vladimir D.
In this paper we analyze possible actions of an automorphism of order six on a $2$-$(70, 24, 8)$ design, and give a complete classification for the action of the cyclic automorphism group of order six $G= \langle \rho \rangle \cong Z_6 \cong Z_2 \tim
Externí odkaz:
http://arxiv.org/abs/2211.01237
Autor:
Rukavina, Sanja, Tonchev, Vladimir D.
In this note we report the classification of all symmetric 2-(36,15,6) designs that admit an automorphism of order 2 and their incidence matrices generate an extremal ternary self-dual code. It is shown that up to isomorphism, there exists only one s
Externí odkaz:
http://arxiv.org/abs/2209.13468
The Bose-Chaudhuri-Hocquenghem (BCH) codes are a well-studied subclass of cyclic codes that have found numerous applications in error correction and notably in quantum information processing. A subclass of attractive BCH codes is the narrow-sense BCH
Externí odkaz:
http://arxiv.org/abs/2109.09051
Autor:
Tonchev, Vladimir D.
It is proved that a code $L(q)$ which is monomially equivalent to the Pless symmetry code $C(q)$ of length $2q+2$ contains the (0,1)-incidence matrix of a Hadamard 3-$(2q+2,q+1,(q-1)/2)$ design $D(q)$ associated with a Paley-Hadamard matrix of type I
Externí odkaz:
http://arxiv.org/abs/2109.05514
The projective general linear group $\mathrm{PGL}_2(\mathrm{GF}(2^m))$ acts as a $3$-transitive permutation group on the set of points of the projective line. The first objective of this paper is to prove that all linear codes over $\mathrm{GF}(2^h)$
Externí odkaz:
http://arxiv.org/abs/2010.09448