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Endomorphism algebras of abelian varieties with large cyclic 2-torsion field over a given field. [PDF]
Res Number TheoryGoodman P.
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Framework development of continuous non-linear Diophantine fuzzy sets and its application to renewable energy source selection. [PDF]
Sci RepKhan A, Khan S, Rahimzai AA, Abdullah S.
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From Quantum Time to Manifestly Covariant QFT: On the Need for a Quantum-Action-Based Quantization. [PDF]
Entropy (Basel)Diaz NL.
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A novel chaos-based approach for constructing lightweight S-Boxes. [PDF]
Sci RepTolpa SH +3 more
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On the algebraic degree of iterated power functions [PDF]
Designs, Codes and Cryptography, 2022 In this paper, the authors analyze the block cipher MiMC, introduced by \textit{M. Albrecht} et al. [Lect. Notes Comput. Sci. 10031, 191--219 (2016; Zbl 1404.94035)], operating on the field \(\mathbb{F}_{2^n}\). The analyzed cipher consists of \(r\) iterations of the round function \(x \mapsto x^d + c_{i+1}\), where \(d\) is coprime with \((2^n -1 ...
Bouvier, Clémence +2 more
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Bounded degree of algebraic topological algebras
Communications in Algebra, 1994We give a short proof of theorems of Kaplansky and Slin'ko concerning the bounded degree of certain associative or Jordan algebraic topological algebras. This new proof even works for power-associative algebras.
Bienvenido Cuartero, José E. Galé
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Homogeneous Algebraic Varieties and Transitivity Degree
Proceedings of the Steklov Institute of Mathematics, 2022 Let $X$ be an algebraic variety such that the group $\text{Aut}(X)$ acts on $X$ transitively. We define the transitivity degree of $X$ as a maximal number $m$ such that the action of $\text{Aut}(X)$ on $X$ is $m$-transitive.
Ivan Arzhantsev
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