Results 31 to 40 of about 635,864 (319)
A new method for solving the elliptic curve discrete logarithm problem [PDF]
Groups, Complexity, Cryptology, 2021 The elliptic curve discrete logarithm problem is considered a secure cryptographic primitive. The purpose of this paper is to propose a paradigm shift in attacking the elliptic curve discrete logarithm problem.
Ansari Abdullah +2 more
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Autour de la conjecture de Tate enti\`ere pour certains produits de dimension $3$ sur un corps fini [PDF]
Épijournal de Géométrie Algébrique, 2022 Let $X$ be the product of a surface satisfying $b_2=\rho$ and of a curve over a finite field. We study a strong form of the integral Tate conjecture for $1$-cycles on $X$.
Federico Scavia
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Weierstrass points on modular curves X0(N) fixed by the Atkin–Lehner involutions [PDF]
Arab Journal of Mathematical Sciences, 2023 Purpose – The authors have determined whether the points fixed by all the full and the partial Atkin–Lehner involutions WQ on X0(N) for N ≤ 50 are Weierstrass points or not.
Mustafa Bojakli, Hasan Sankari
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Degree of the Product of Two Algebraic Numbers One of Which Is of Prime Degree
Mathematics, 2023 Let α and β be two algebraic numbers such that deg(α)=m and deg(β)=p, where p is a prime number not dividing m. This research is focused on the following two objectives: to discover new conditions under which deg(αβ)=mp; to determine the complete list of
Paulius Virbalas
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Construction of Complex Lattice Codes via Cyclotomic Fields
Trends in Computational and Applied Mathematics, 2022 Through algebraic number theory and Construction $A$ we extend an algebraic procedure which generates complex lattice codes from the polynomial ring \mathbb{F}_{2}[x]/(x^{n}-1), where \mathbb{F}_{2}=\{0,1\}, by using ideals from the generalized ...
E. D. Carvalho +3 more
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Formal deformations of the algebra of Jacobi forms and Rankin–Cohen brackets
Comptes Rendus. Mathématique, 2021 This work is devoted to the algebraic and arithmetic properties of Rankin–Cohen brackets allowing to define and study them in several natural situations of number theory.
Choie, YoungJu +3 more
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Algorithmic algebraic number theory
Encyclopedia of mathematics and its applications, 1989 Preface List of symbols 1. Basics of constructive algebraic number theory 2. The group of an equation 3. Methods from the geometry of numbers 4. Embedding of commutative orders into the maximal order 5. Units in algebraic number fields 6. The class group
M. Pohst, H. Zassenhaus
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A Topological Perspective on Interacting Algebraic Theories [PDF]
Electronic Proceedings in Theoretical Computer Science, 2017 Techniques from higher categories and higher-dimensional rewriting are becoming increasingly important for understanding the finer, computational properties of higher algebraic theories that arise, among other fields, in quantum computation.
Amar Hadzihasanovic
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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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Introduction to algebraic number theory
, 1955 6 CONTENTS Preface This book is based on notes I created for a one-semester undergraduate course on Algebraic Number Theory, which I taught at Harvard during Spring 2004 and Spring 2005.
H. B. Mann
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