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On Locally Finite Groups Saturated by Full and Special Linear Groups over Finite Fields
Every locally finite group saturated by groups from the set of projective special linear groups of a fixed degree over finite fields is known to be...
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Arithmetic of Finite Fields 9th International Workshop, WAIFI 2022, Chengdu, China, August 29 – September 2, 2022, Revised Selected Papers
This book constitutes the thoroughly refereed post-workshop proceedings of the 8th International Workshop on the Arithmetic of Finite Field, WAIFI...
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Satisfiability Modulo Finite Fields
We study satisfiability modulo the theory of finite fields and give a decision procedure for this theory. We implement our procedure for prime fields...
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Zeros of Complete Symmetric Polynomials over Finite Fields
Wan and Zhang (2021) obtained a nontrivial lower bound for the number of zeros of complete symmetric polynomials over finite fields, and proposed a...
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Approximate Synchronization of Multi-Agent Systems over Finite Fields
In this paper, the approximate synchronization of leader-follower multiagent systems (MASs) over finite fields is studied in regard to local and...
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Square root computation in finite fields
In this paper, we present a review of three widely-used practical square root algorithms. We then describe a unifying framework where each of these...
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Frames over finite fields and self-dual codes
Modular strongly regular graphs have been introduced by Greaves et al. (Linear Algebra Appl 639:50–80, 2022). We show that a related class of isodual...
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Flexible deterministic compressive measurement matrix based on two finite fields
The rapid development of information technology puts forward new demands for signal sampling technology. Compressed sensing is a novel signal...
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Kampé de Fériet hypergeometric functions over finite fields
Kampé de Fériet hypergeometric functions are two-variable hypergeometric functions, which are a generalization of Appell’s functions. It is known...
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Hypergeometric functions over finite fields
We give a definition of generalized hypergeometric functions over finite fields using modified Gauss sums, which enables us to find clear analogy...
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Random Generator of Orthogonal Matrices in Finite Fields
We propose a superfast method for constructing orthogonal matrices $$M\in \mathcal...
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An effective local-global principle and additive combinatorics in finite fields
We use recent results about linking the number of zeros on algebraic varieties over ℂ, defined by polynomials with integer coefficients, and on their...
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A survey of compositional inverses of permutation polynomials over finite fields
In this paper, we survey on the recent results and methods in the study of compositional inverses of permutation polynomials over finite fields. In...
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Fermionic CFTs from classical codes over finite fields
We construct a class of chiral fermionic CFTs from classical codes over finite fields whose order is a prime number. We exploit the relationship...
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Neural Monte Carlo rendering of finite-time Lyapunov exponent fields
The finite-time Lyapunov exponent (FTLE) is widely used for understanding the Lagrangian behavior of unsteady flow fields. The FTLE field contains...
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Classification of singular del Pezzo surfaces over finite fields
In this article, we consider weak del Pezzo surfaces defined over a finite field, and their associated, singular, anticanonical models. We first...
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Galois Stratification over Finite Fields
Chapter 34 establishes the Galois stratification procedure over a fixed field K with elimination theory. The outcome is an explicit decision...
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Permutation polynomials and their compositional inverses over finite fields by a local method
Recently, P. Yuan presented a local method to find permutation polynomials and their compositional inverses over finite fields. The work of P. Yuan...
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Several constructions of optimal LCD codes over small finite fields
Linear complementary dual (LCD) codes are linear codes which intersect their dual codes trivially, which have been of interest and extensively...
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Primitive Elements of Free Non-associative Algebras over Finite Fields
AbstractThe representation of elements of free non-associative algebras as a set of multidimensional tables of coefficients is defined. An operation...