Results 31 to 40 of about 13,923 (165)
ALGEBRAIC CRYPTANALYSIS ON NTRU-HPS AND NTRU-HRSS
Barekeng, 2023 NTRU is a lattice-based public-key cryptosystem designed by Hoffstein, Pipher, and Silverman in 1996. NTRU published on Algorithmic Number Theory Symposium (ANTS) in 1998.
Fadila Paradise, Kiki Ariyanti Sugeng
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On novel security systems based on the 2-cyclic refined integers and the foundations of 2-cyclic refined number theory [PDF]
Journal of Fuzzy Extension and ApplicationsIntegers play a basic role in the structures of asymmetric crypto-algorithms. Many famous public key crypto-schemes use the basics of number theory to share keys and decrypt and encrypt messages and multimedia.
Mohammad Abobala +2 more
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On the quantum security of high-dimensional RSA protocol
Journal of Mathematical CryptologyThe idea of extending the classical RSA protocol using algebraic number fields was introduced by Takagi and Naito (Construction of RSA cryptosystem over the algebraic field using ideal theory and investigation of its security.
Rahmani Nour-eddine +3 more
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Philosophia Scientiæ, 2005 This paper considers the birth of algebraic proof by looking at the works of Cardano, Viète, Harriot and Pell. The transition from geometric to algebraic proof was mediated by appeals to the Eudoxan theory of proportions in book V of Euclid.
Brendan Larvor
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The nilpotent structure of open-closed string field theory
Journal of High Energy Physics, 2023 In this note we revisit the homotopy-algebraic structure of oriented bosonic open-closed string field theory and we give a new compact formulation in terms of a single cyclic open-closed co-derivation which defines a single nilpotent structure describing
Carlo Maccaferri +2 more
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Tensors, !-graphs, and non-commutative quantum structures [PDF]
Electronic Proceedings in Theoretical Computer Science, 2014 Categorical quantum mechanics (CQM) and the theory of quantum groups rely heavily on the use of structures that have both an algebraic and co-algebraic component, making them well-suited for manipulation using diagrammatic techniques.
Aleks Kissinger, David Quick
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On solving norm equations in global function fields
Journal of Mathematical Cryptology, 2009 The potential of solving norm equations is crucial for a variety of applications of algebraic number theory, especially in cryptography. In this article we develop general effective methods for that task in global function fields for the first time.
Gaál István, Pohst Michael E.
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HIERARCHY OF ALGEBRAIC BAYESIAN NETWORK GLOBAL STRUCTURES AS A SYSTEM OF GRAPHS AND HYPERGRAPHS [PDF]
Научно-технический вестник информационных технологий, механики и оптики, 2013 Algebraic Bayesian networks are logical and probabilistic graphical models which make it possible to perform logical and probabilistic inference for knowledge uncertainty formalized via scalar and interval truth values of propositional formulae.
A. A. Filchenkov
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New restricted and extended soft set operations: restricted gamma and extended gamma operations [PDF]
Big Data and Computing VisionsSoft set theory has been well-known as an innovative approach to managing uncertainty-related problems and modelling uncertainty since Molodtsov introduced it in 1999. It has been applied in a variety of contexts, both theoretical and practical. The core
Aslıhan Sezgin, Fitnat Aybek
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A differential representation of cosmological wavefunctions
Journal of High Energy Physics, 2022 Our understanding of quantum field theory rests largely on explicit and controlled calculations in perturbation theory. Because of this, much recent effort has been devoted to improve our grasp of perturbative techniques on cosmological spacetimes. While
Aaron Hillman, Enrico Pajer
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