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Involutions of finite abelian groups with explicit constructions on finite fields
In this paper, we study properties and constructions of a general family of involutions of finite abelian groups, especially those of finite fields....
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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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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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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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The second-order zero differential spectra of some functions over finite fields
It was shown by Boukerrou et al. [IACR Trans. Symmetric Cryptol. 1 (2020), 331–362] that the F -boomerang uniformity (which is the same as the...
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Trace dual of additive cyclic codes over finite fields
In (Shi et al. Finite Fields Appl. 80 , 102087 2022) studied additive cyclic complementary dual codes with respect to trace Euclidean and trace...
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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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Split Gröbner Bases for Satisfiability Modulo Finite Fields
Satisfiability modulo finite fields enables automated verification for cryptosystems. Unfortunately, previous solvers scale poorly for even some...
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Griesmer type bounds for additive codes over finite fields, integral and fractional MDS codes
In this article we prove Griesmer type bounds for additive codes over finite fields. These new bounds give upper bounds on the length of maximum...
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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...
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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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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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On the second-order zero differential spectra of some power functions over finite fields
Boukerrou et al. (IACR Trans. Symm. Cryptol. 2020 (1), 331–362,
2020 ) introduced the notion of the Feistel Boomerang Connectivity Table (FBCT), the... -
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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About Methods of Vector Addition over Finite Fields Using Extended Vector Registers
We present optimized algorithm for vector addition over finite prime fields using the extended vector registers of modern central processing units...