Construction of strongly regular graphs having an automorphism group of composite order

D Crnkovic, M Maksimovic - Contributions to Discrete Mathematics, 2020 - cdm.ucalgary.ca
In this paper we outline a method for constructing strongly regular graphs from orbit matrices
admitting an automorphism group of composite order. In 2011, C. Lam and M. Behbahani …

Construction of extremal -codes using a neighborhood search algorithm

D Crnković, M Mravić, S Rukavina - Advances in mathematics of …, 2025 - aimsciences.org
In this paper, we present a method for constructing extremal Z4-codes based on random
neighborhood search. This method is used to find new extremal Type I and Type II Z4-codes …

Self-dual Hadamard bent sequences

M Shi, Y Li, W Cheng, D Crnkoviš, D Krotov… - Journal of Systems …, 2023 - Springer
A new notion of bent sequence related to Hadamard matrices was introduced recently,
motivated by a security application (Solé, et al., 2021). The authors study the self-dual class …

Constructing block designs with a prescribed automorphism group using genetic algorithm

D Crnković, T Zrinski - Journal of combinatorial designs, 2022 - Wiley Online Library
We propose a method of constructing block designs which combine genetic algorithm and a
method for constructing designs with a prescribed automorphism group using tactical …

Construction of directed strongly regular graphs via their orbit matrices and genetic algorithm

D Crnković, A Švob, T Zrinski - arxiv preprint arxiv:2412.14787, 2024 - arxiv.org
In this paper, we introduce orbit matrices of directed strongly regular graphs (DSRGs).
Further, we propose a method of constructing directed strongly regular graphs with …

On Hadamard - and - designs

DD Danilović, A Švob - AIMS Mathematics, 2024 - aimspress.com
In this paper, we classified Hadamard $2$-$(51, 25, 12) $ designs having a non-abelian
automorphism group of order 10, ie, ${\rm {Frob}} _ {10}\cong Z_5: Z_2 $, where a subgroup …

[PDF][PDF] Linear codes obtained from 2-modular representations of some finite simple groups

WL Chikamai, J Moori, BG Rodrigues - 2012 - academia.edu
Let F be a finite field of q elements and G be a primitive group on a finite set Ω. Then there is
a G-action on Ω, namely a map G× Ω−→ Ω,(g, ω)↦→ ωg= gω, satisfying ωgg′=(gg′) ω= g …

Doubly even self-orthogonal codes from quasi-symmetric designs

D Crnković, D Dumičić Danilović, A Šumberac… - Applicable Algebra in …, 2024 - Springer
In this paper, we give a construction of doubly even self-orthogonal codes from quasi-
symmetric designs. Especially, we study orbit matrices of quasi-symmetric designs and give …

Switching for 2-designs

D Crnković, A Švob - Designs, codes and cryptography, 2022 - Springer
In this paper, we introduce a switching for 2-designs, which defines a type of trade. We
illustrate this method by applying it to some symmetric (64, 28, 12) designs, showing that the …

2-modular representations of the alternating group A_8 as binary codes

L Chikamai, J Moori, BG Rodrigues - Glasnik matematički, 2012 - hrcak.srce.hr
Sažetak Through a modular representation theoretical approach we enumerate all non-
trivial codes from the 2-modular representations of A8, using a chain of maximal …