Results 1 to 10 of about 63,668 (189)
Linear Codes from Two Weakly Regular Plateaued Balanced Functions [PDF]
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
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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
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Pseudocyclic association schemes and strongly regular graphs
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
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Quasi-balanced weighing matrices, signed strongly regular graphs and association schemes
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Hadi Kharaghani, Thomas Pender, Sho Suda
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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
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
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Strongly regular graphs from weakly regular plateaued functions [PDF]
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
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Classification of small class association schemes coming from certain combinatorial objects [PDF]
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]
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
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hadi Kharaghani, Sara Sasani, Sho Suda
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