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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

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

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

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.
openaire   +1 more source

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   +3 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

Skew-symmetric association schemes with two classes and strongly regular graphs of type L 2n?1(4n?1) [PDF]

open access: yesActa Applicandae Mathematicae, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

A two-fold cover of strongly regular graphs with spreads and association schemes of class five [PDF]

open access: yesDesigns, Codes and Cryptography, 2014
We consider imprimitive association schemes of class four which are two-fold covers of strongly regular graphs with spreads. It will be shown that a two-fold cover of a strongly regular graph with a spread provides a five class fission scheme of the imprimitive scheme of class four.
openaire   +3 more sources

A distribution invariant for association schemes and strongly regular graphs

open access: yesLinear Algebra and its Applications, 1984
AbstractIn an association scheme X with symmetric classes the projections Ji(x) of the points x ϵ X into the given Eigenspace Ei are considered. In particular the smallest number of points whose projection vectors are strictly on one side of a hyperlane is called the distribution invariant (with respect to Ei) of the association scheme X.
openaire   +2 more sources

Some properties and applications of Hermitian varieties in a finite projective space PG(N, q2) in the construction of strongly regular graphs (two-class association schemes) and block designs

open access: yesJournal of Combinatorial Theory, Series B, 1971
AbstractThe section of a non-degenerate Hermitian variety VN−1 by a polar hyperplane in PG(N, q2) and the number of u-flats, 0 ≤ u ≤ [(N − 1)2], contained in a VN−1 are derived. From the incidence of external points, tangent lines and secant lines with respect to non-degenerate Hermitian varieties in PG(2, q2) and PG(3, q2) and the incidence of ...
openaire   +1 more source

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