Results 11 to 20 of about 13,980 (255)
Walailak Journal of Science and Technology, 2019 This paper consists of proposal of two constructions of balanced Boolean functions by using powers of primitive elements ...
Dheeraj Kumar Sharma, Rajoo Pandey
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Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]
Adv Intell DiscovThis article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
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Final algebras, cosemicomputable algebras, and degrees of unsolvability
Theoretical Computer Science, 1987 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lawrence S. Moss +2 more
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IEEE Access, 2019 As a part of the field of cryptography, rotation symmetric Boolean functions have rich cryptographic significance. In this paper, based on the knowledge of integer compositions, we present a new construction of odd-variable rotation symmetric Boolean ...
Yindong Chen +3 more
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Transcendence degree of division algebras [PDF]
Israel Journal of Mathematics, 2012 10 ...
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On the Generalization of Butterfly Structure
IACR Transactions on Symmetric Cryptology, 2018 Butterfly structure was proposed in CRYPTO 2016 [PUB16], and it can generate permutations ...
Yongqiang Li +3 more
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Algorithmic Degrees of Algebraic Structures
Fundamenta Informaticae, 1981 We define a reducibility relation ⩽ between algebraic structures A ⩽ B means that A can be embeddet in an enrichment of B with partial computable operations. This notion is a generalized version of implementability as known in the theory of algebraic data types.
Bergstra, J.A., Tiuryn, J.
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Constructing Higher Nonlinear Odd-Variable RSBFs With Optimal AI and Almost Optimal FAI
IEEE Access, 2019 Rotation symmetric Boolean functions (RSBFs) are nowadays studied a lot because of its easy operations and good performance in cryptosystem. This paper constructs a new class of odd-variable RSBFs with optimal algebraic immunity (AI). The nonlinearity of
Yindong Chen +5 more
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Point counting for foliations over number fields
Forum of Mathematics, Pi, 2022 Let${\mathbb M}$ be an affine variety equipped with a foliation, both defined over a number field ${\mathbb K}$. For an algebraic $V\subset {\mathbb M}$ over ${\mathbb K}$, write $\delta _{V}$ for the maximum of the degree and log-height of V.
Gal Binyamini
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Composition algebras of degree two [PDF]
Proceedings of the Edinburgh Mathematical Society, 1999 Composition algebras in which the subalgebra generated by any element has dimension at most two are classified over fields of characteristic ≠2,3. They include, besides the classical unital composition algebras, some closely related algebras and all the composition algebras with invariant quadratic norm.
Elduque, A., Pérez-Izquierdo, J.M.
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