Results 1 to 10 of about 63,668 (189)

Linear Codes from Two Weakly Regular Plateaued Balanced Functions [PDF]

open access: yesEntropy, 2023
Linear codes with a few weights have been extensively studied due to their wide applications in secret sharing schemes, strongly regular graphs, association schemes, and authentication codes.
Shudi Yang, Tonghui Zhang, Ping Li
doaj   +2 more sources

Euclidean Jordan Algebras, Symmetric Association Schemes, Strongly Regular Graphs, and Modified Krein Parameters of a Strongly Regular Graph

open access: yesSymmetry, 2023
In this paper, in the environment of Euclidean Jordan algebras, we establish some inequalities over the Krein parameters of a symmetric association scheme and of a strongly regular graph. Next, we define the modified Krein parameters of a strongly regular graph and establish some admissibility conditions over these parameters.
luís Vieira
openaire   +3 more sources

Pseudocyclic association schemes and strongly regular graphs

open access: yesEuropean Journal of Combinatorics, 2010
Let X be a pseudocyclic association scheme in which all the nontrivial relations are strongly regular graphs with the same eigenvalues. We prove that the principal part of the first eigenmatrix of X is a linear combination of an incidence matrix of a symmetric design and the all-ones matrix.
Ikuta, Takuya, Munemasa, Akihiro
openaire   +5 more sources

Quasi-balanced weighing matrices, signed strongly regular graphs and association schemes

open access: yesFinite Fields and Their Applications, 2022
25 ...
Hadi Kharaghani, Thomas Pender, Sho Suda
openaire   +2 more sources

Distance-regular graphs [PDF]

open access: yes, 2016
This is a survey of distance-regular graphs. We present an introduction to distance-regular graphs for the reader who is unfamiliar with the subject, and then give an overview of some developments in the area of distance-regular graphs since the ...
Koolen, Jack H.   +2 more
core   +7 more sources

Two Classes of Linear Codes From Weil Sums

open access: yesIEEE Access, 2020
In this article, we consider two classes of $p$ -ary linear codes. This article is a generalization of the recent construction methods given by Jian, Lin and Feng (2019).
Hong Lu, Shudi Yang
doaj   +1 more source

Strongly regular graphs from weakly regular plateaued functions [PDF]

open access: yes, 2018
The paper provides the first constructions of strongly regular graphs and association schemes from weakly regular plateaued functions over finite fields of odd characteristic.
Mesnager, Sihem, Sınak, Ahmet
core   +2 more sources

Classification of small class association schemes coming from certain combinatorial objects [PDF]

open access: yes, 2005
We explore two- or three-class association schemes. We study aspects of the structure of the relation graphs in association schemes which are not easily revealed by their parameters and spectra.
Kim, Joohyung
core   +3 more sources

Uniformity in association schemes and coherent configurations: cometric Q-antipodal schemes and linked systems [PDF]

open access: yes, 2013
Inspired by some intriguing examples, we study uniform association schemes and uniform coherent configurations, including cometric Q-antipodal association schemes. After a review of imprimitivity, we show that an imprimitive association scheme is uniform
Abdukhalikov   +61 more
core   +2 more sources

A strongly regular decomposition of the complete graph and its association scheme

open access: yesFinite Fields and Their Applications, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hadi Kharaghani, Sara Sasani, Sho Suda
openaire   +1 more source

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