Zobrazeno 1 - 10
of 242
pro vyhledávání: '"Rukavina, Sanja"'
Autor:
Ban, Sara, Rukavina, Sanja
Extremal Type II $\mathbb{Z}_{8}$-codes are a class of self-dual $\mathbb{Z}_{8}$-codes with Euclidean weights divisible by $16$ and the largest possible minimum Euclidean weight for a given length. We introduce a doubling method for constructing a T
Externí odkaz:
http://arxiv.org/abs/2405.00584
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
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
Autor:
Ban, Sara, Rukavina, Sanja
Extremal Type II $\mathbb{Z}_4$-codes are a class of self-dual $\mathbb{Z}_4$-codes with Euclidean weights divisible by eight and the largest possible minimum Euclidean weight for a given length. A small number of such codes is known for lengths grea
Externí odkaz:
http://arxiv.org/abs/2310.14080
The characterization of bipartite distance-regularized graphs, where some vertices have eccentricity less than four, in terms of the incidence structures of which they are incidence graphs, is known. In this paper we prove that there is a one-to-one
Externí odkaz:
http://arxiv.org/abs/2308.09011
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
Autor:
Ban, Sara, Rukavina, Sanja
Publikováno v:
Australas. J. Combin., 84 (3) (2022), 341-356
A Type IV-II Z4-code is a self-dual code over Z4 with the property that all Euclidean weights are divisible by eight and all codewords have even Hamming weight. In this paper we use generalized bent functions for a construction of self-orthogonal cod
Externí odkaz:
http://arxiv.org/abs/2105.01208
The existence of a biplane with parameters $(121,16,2)$ is an open problem. Recently, it has been proved by Alavi, Daneshkhah and Praeger that the order of an automorphism group of a of possible biplane ${\mathcal D}$ of order $14$ divides $2^7\cdot3
Externí odkaz:
http://arxiv.org/abs/2010.12944
Low-density parity-check (LDPC) codes have been the subject of much interest due to the fact that they can perform near the Shannon limit. In this paper we present a construction of LDPC codes from cubic symmetric graphs. The constructed codes are $(
Externí odkaz:
http://arxiv.org/abs/2002.06690