[图书][B] Handbook of finite fields
GL Mullen, D Panario - 2013 - api.taylorfrancis.com
The CRC Handbook of Finite Fields (hereafter referred to as the Handbook) is a reference
book for the theory and applications of finite fields. It is not intended to be an introductory …
book for the theory and applications of finite fields. It is not intended to be an introductory …
Mutually orthogonal latin squares based on cellular automata
We investigate sets of mutually orthogonal latin squares (MOLS) generated by cellular
automata (CA) over finite fields. After introducing how a CA defined by a bipermutive local …
automata (CA) over finite fields. After introducing how a CA defined by a bipermutive local …
How to securely outsource the extended euclidean algorithm for large-scale polynomials over finite fields
Cloud computing gives resource-constrained clients great conveniences to outsource
exorbitant computations to a public cloud. The extended Euclidean algorithm with large …
exorbitant computations to a public cloud. The extended Euclidean algorithm with large …
Bent functions in the partial spread class generated by linear recurring sequences
We present a construction of partial spread bent functions using subspaces generated by
linear recurring sequences (LRS). We first show that the kernels of the linear mappings …
linear recurring sequences (LRS). We first show that the kernels of the linear mappings …
Block companion Singer cycles, primitive recursive vector sequences, and coprime polynomial pairs over finite fields
SR Ghorpade, S Ram - Finite Fields and Their Applications, 2011 - Elsevier
We discuss a conjecture concerning the enumeration of nonsingular matrices over a finite
field that are block companion and whose order is the maximum possible in the …
field that are block companion and whose order is the maximum possible in the …
Divisibility properties of random samples of integers
JL Fernández, P Fernández - Revista de la Real Academia de Ciencias …, 2021 - Springer
Divisibility properties of random samples of integers | Revista de la Real Academia de Ciencias
Exactas, Físicas y Naturales. Serie A. Matemáticas Skip to main content SpringerLink Account …
Exactas, Físicas y Naturales. Serie A. Matemáticas Skip to main content SpringerLink Account …
On linear sets of minimum size
D Jena, G Van de Voorde - Discrete Mathematics, 2021 - Elsevier
An F q-linear set of rank k, k≤ h, on a projective line PG (1, qh), containing at least one point
of weight one, has size at least qk− 1+ 1 (see De Beule and Van De Voorde (2019)). The …
of weight one, has size at least qk− 1+ 1 (see De Beule and Van De Voorde (2019)). The …
Constructing orthogonal latin squares from linear cellular automata
We undertake an investigation of combinatorial designs engendered by cellular automata
(CA), focusing in particular on orthogonal Latin squares and orthogonal arrays. The …
(CA), focusing in particular on orthogonal Latin squares and orthogonal arrays. The …
Inversion of mutually orthogonal cellular automata
L Mariot, A Leporati - Cellular Automata: 13th International Conference on …, 2018 - Springer
Abstract Mutually Orthogonal Cellular Automata (MOCA) are sets of bipermutive CA which
can be used to construct pairwise orthogonal Latin squares. In this work, we consider the …
can be used to construct pairwise orthogonal Latin squares. In this work, we consider the …
Graph components and dynamics over finite fields
R Flynn, D Garton - International Journal of Number Theory, 2014 - World Scientific
GRAPH COMPONENTS AND DYNAMICS OVER FINITE FIELDS Page 1 International Journal
of Number Theory Vol. 10, No. 3 (2014) 779–792 c© World Scientific Publishing Company …
of Number Theory Vol. 10, No. 3 (2014) 779–792 c© World Scientific Publishing Company …