Zobrazeno 1 - 10
of 371
pro vyhledávání: '"Crnković, Dean"'
Recently, the notions of self-orthogonal subspace codes and LCD subspace codes were introduced, and LCD subspace codes obtained from mutually unbiased weighing matrices were studied. In this paper, we provide a method of constructing self-orthogonal
Externí odkaz:
http://arxiv.org/abs/2407.05695
In 1976, Delsarte introduced the notion of $q$-analogs of designs, and $q$-analogs of graphs were introduced recently by M. Braun et al. In this paper, we extend that study by giving a method for constructing transitive regular $q$-analogs of graphs.
Externí odkaz:
http://arxiv.org/abs/2406.07118
Divisible design graphs were introduced in 2011 by Haemers, Kharaghani and Meulenberg. In this paper, we introduce the notion of $q$-analogs of divisible design graphs and show that all $q$-analogs of divisible design graphs come from spreads, and ar
Externí odkaz:
http://arxiv.org/abs/2405.13230
In this paper, we prove the existence of directed strongly regular graphs with parameters $(63,11,8,1,2)$. We construct a pair of nonisomorphic dsrg(63,11,8,1,2), where one is obtained from the other by reversing all arrows. Both directed strongly re
Externí odkaz:
http://arxiv.org/abs/2404.03100
In this paper, we give a construction of doubly even self-orthogonal codes from quasi-symmetric designs. Further, we study orbit matrices of quasi-symmetric designs and give a construction of doubly even self-orthogonal codes from orbit matrices of q
Externí odkaz:
http://arxiv.org/abs/2308.01075
A code $C$ is a subset of the vertex set of a graph and $C$ is $s$-neighbour-transitive if its automorphism group ${\rm Aut}(C)$ acts transitively on each of the first $s+1$ parts $C_0,C_1,\ldots,C_s$ of the distance partition $\{C=C_0,C_1,\ldots,C_\
Externí odkaz:
http://arxiv.org/abs/2307.09752
Autor:
CRNKOVIĆ, DEAN1 deanc@math.uniri.hr, KHARAGHANI, HADI2 kharaghani@uleth.ca, SHO SUDA3 ssuda@nda.ac.jp, ŠVOB, ANDREA1 asvob@math.uniri.hr
Publikováno v:
International Journal of Group Theory. Sep2024, Vol. 13 Issue 3, p225-240. 16p.
Autor:
Crnkovic, Dean, Svob, Andrea
A subspace code is a nonempty set of subspaces of a vector space $\mathbb F^n_q$. Linear codes with complementary duals, or LCD codes, are linear codes whose intersection with their duals is trivial. In this paper, we introduce a notion of LCD subspa
Externí odkaz:
http://arxiv.org/abs/2204.08552
Publikováno v:
J. Syst. Sci. Complex. 36(2) 2023, 894-908
A new notion of bent sequence related to Hadamard matrices was introduced recently, motivated by a security application ( Sol\'e et al, 2021). We study the self dual class in length at most $196.$ We use three competing methods of generation: Exhaust
Externí odkaz:
http://arxiv.org/abs/2203.16439
Publikováno v:
In Linear Algebra and Its Applications 15 July 2024 693:362-373