Imprimitive symmetric association schemes of classes 5 and 6 arising from ternary non-weakly regular bent functions

Date

2022-04-01

Author

Özbudak, Ferruh
Pelen, Rumi Melih

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

144
views

0
downloads

Let F be a ternary non-weakly regular bent function in GMMF class whose dual F* is bent. We prove that if F satisfies certain conditions, then collecting the pre-image sets of the dual function F* with respect to the subsets B+(F) and B_(F) forms an imprimitive symmetric translation scheme of class 5 (resp. 6) if the dimension is odd (resp. even). Hence, we construct two infinite families of imprimitive symmetric association schemes. Moreover, fusing the first or last three non-trivial relations, we obtain association schemes of classes 3 and 4, respectively.

Subject Keywords

Non-weakly regular bent, Cayley graph, Translation scheme, Association scheme, Fusion scheme

URI

https://hdl.handle.net/11511/97220

Journal

JOURNAL OF ALGEBRAIC COMBINATORICS

DOI

https://doi.org/10.1007/s10801-022-01126-1

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

Real algebraic principal abelian fibrations Ozan, Yıldıray (American Mathematical Society, 1995) If M is a closed smooth manifold, it is well known that M is diffeomorphic to a nonsingular real algebraic set. Let G be a finite group and let X→πY be a principal G-fibration where X and Y are closed smooth manifolds. By the first sentence, we can assume Y is a nonsingular real algebraic set. Question: Is X→πY differentiably equivalent to an algebraic principal G-fibration X~→π~Y (X~, π~ and the action of G on X~ all algebraic)? The author defines an "algebraic cohomology group'' H1A(Y,G) in the case G=(Z/...
Almost periodic solutions of the linear differential equation with piecewise constant argument Akhmet, Marat (2009-10-01) The paper is concerned with the existence and stability of almost periodic solutions of linear systems with piecewise constant argument where t∈R, x ∈ Rn [·] is the greatest integer function. The Wexler inequality [1]-[4] for the Cauchy's matrix is used. The results can be easily extended for the quasilinear case. A new technique of investigation of equations with piecewise argument, based on an integral representation formula, is proposed. Copyright © 2009 Watam Press.
Quadratically convergent algorithm for orbital optimization in the orbital-optimized coupled-cluster doubles method and in orbital-optimized second-order Moller-Plesset perturbation theory Bozkaya, Ugur; Turney, Justin M.; Yamaguchi, Yukio; Schaefer, Henry F.; Sherrill, C. David (2011-09-14) Using a Lagrangian-based approach, we present a more elegant derivation of the equations necessary for the variational optimization of the molecular orbitals (MOs) for the coupled-cluster doubles (CCD) method and second-order Moller-Plesset perturbation theory (MP2). These orbital-optimized theories are referred to as OO-CCD and OO-MP2 (or simply "OD" and "OMP2" for short), respectively. We also present an improved algorithm for orbital optimization in these methods. Explicit equations for response density ...
Multiplicative linear functionals of continuous functions are countably evaluated ERCAN, ZAFER; Önal, Süleyman (2008-02-01) We prove that each nonzero algebra homomorphism pi : C(X) -> R is countably evaluated. This is applied to give a simple and direct proof (from the algebraic view) of the fact that each Lindelof space is realcompact.
Geometrization of the Lax pair tensors Baleanu, D; Baskal, S (2000-08-10) The tensorial form of the Lax pair equations are given in a compact and geometrically transparent form in the presence of Cartan's torsion tensor. Three-dimensional space-times admitting Lax tensors are analyzed in detail. Solutions to Lax tensor equations include interesting examples as separable coordinates and the Toda lattice.

Citation Formats

F. Özbudak and R. M. Pelen, “Imprimitive symmetric association schemes of classes 5 and 6 arising from ternary non-weakly regular bent functions,” JOURNAL OF ALGEBRAIC COMBINATORICS, pp. 0–0, 2022, Accessed: 00, 2022. [Online]. Available: https://hdl.handle.net/11511/97220.