Results 1 to 10 of about 2,807 (221)
Scattering amplitudes for all masses and spins
Journal of High Energy Physics, 2021 We introduce a formalism for describing four-dimensional scattering amplitudes for particles of any mass and spin. This naturally extends the familiar spinor-helicity formalism for massless particles to one where these variables carry an extra SU(2 ...
Nima Arkani-Hamed +2 more
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An Optimality Summary: Secret Key Agreement with Physical Unclonable Functions
Entropy, 2020 We address security and privacy problems for digital devices and biometrics from an information-theoretic optimality perspective to conduct authentication, message encryption/decryption, identification or secure and private computations by using a secret
Onur Günlü, Rafael F. Schaefer
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A Computational Introduction to Number Theory and Algebra [PDF]
Choice Reviews Online, 2005 Number theory and algebra play an increasingly significant role in computing and communications, as evidenced by the striking applications of these subjects to such fields as cryptography and coding theory. This introductory book emphasizes algorithms and applications, such as cryptography and error correcting codes, and is accessible to a broad ...
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Algebraic, Analytic, and Computational Number Theory and Its Applications
Mathematics, 2023 Analytic number theory is a branch of number theory which inherits methods from mathematical analysis in order to solve difficult problems about the integers [...]
Diana Savin +2 more
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Topics in computational algebraic number theory [PDF]
Journal de théorie des nombres de Bordeaux, 2008 We describe practical algorithms from computational algebraic number theory, with applications to class field theory. These include basic arithmetic, approximation and uniformizers, discrete logarithms and computation of class fields. All algorithms have been implemented in the Pari/Gp system.
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Cyclotomic Classes in a Product of Finite Abelian Groups and Applications
Journal of MathematicsCyclotomic classes of finite abelian groups have been extensively investigated for many decades, largely because of their nice algebraic structure and the breadth of their theoretical and practical applications.
Somphong Jitman
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On the Girth of Tanner QC-LDPC Cycle Codes: An Algebraic Number Theory Approach
AxiomsTanner quasi-cyclic low-density parity-check (QC-LDPC) codes form an important family of structured LDPC codes with favorable girth properties. This paper studies the girth of Tanner (2, L)-regular QC-LDPC codes (referred to as Tanner QC-LDPC cycle codes)
Haipeng Yu +4 more
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Proceedings of the 2017 ACM International Symposium on Symbolic and Algebraic Computation, 2017 We introduce two new packages, Nemo and Hecke, written in the Julia programming language for computer algebra and number theory. We demonstrate that high performance generic algorithms can be implemented in Julia, without the need to resort to a low-level C implementation.
Fieker, Claus +3 more
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Computer algebra systems in the elementary number theory
Eastern-European Journal of Enterprise Technologies, 2013 Дано описание основных команд пакета numtheory системы компьютерной алгебры Maple. Рассмотрены способы решения некоторых типичных вычислительных задач элементарной теории чисел в Maple. В частности рассмотрены команды для следующих разделов: делимость чисел, арифметические и мультипликативные функции, сравнения, символы Якоби и Лежандра ...
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Open MathematicsThis article presents a novel formulation of the boundary element method (BEM) for sensitivity analysis of the generalized thermoelastic three-phase-lag (TPL) model with directional dependence for anisotropic materials.
Fahmy Mohamed Abdelsabour +1 more
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