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1.
Polynomials of degree 4 over finite fields representing quadratic residues
Shao Fei Du, Klavdija Kutnar, Dragan Marušič, 2019, original scientific article

Keywords: finite field, polynomial, quadratic residues
Published in RUP: 11.02.2020; Views: 1256; Downloads: 74
.pdf Full text (317,71 KB)

2.
Integral automorphisms of affine spaces over finite fields
István Kovács, Klavdija Kutnar, János Ruff, Tamás Szőnyi, 2015, published scientific conference contribution abstract

Keywords: finite field, affine space, integral distance, integral automorphism
Published in RUP: 08.08.2016; Views: 2821; Downloads: 80
URL Link to full text

3.
Adjacency preservers, symmetric matrices, and cores
Marko Orel, 2012, original scientific article

Abstract: It is shown that the graph ▫$\Gamma_n$▫ that has the set of all ▫$n \times n$▫ symmetric matrices over a finite field as the vertex set, with two matrices being adjacent if and only if the rank of their difference equals one, is a core if ▫$n \ge 3$▫. Eigenvalues of the graph ▫$\Gamma_n$▫ are calculated as well.
Keywords: adjacency preserver, symmetric matrix, finite field, eigenvalue of a graph, coloring, quadratic form
Published in RUP: 15.10.2013; Views: 3048; Downloads: 141
URL Link to full text

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