Algebraic extension

Results: 189



#Item
61Galois theory / Algebraic number theory / Polynomials / Field / Galois extension / Separable polynomial / Separable extension / Fundamental theorem of Galois theory / Abstract algebra / Algebra / Field theory

The University of Hong Kong DEPARTMENT OF MATHEMATICS MATH3302/MATH4302 Algebra II Assignment 4 Due: Tuesday 1 pm, March 31, 2015. In the following, E, F, K are fields.

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Source URL: hkumath.hku.hk

Language: English - Date: 2015-03-17 02:34:42
62Procedural programming languages / Binary trees / Tree traversal / Pattern matching / ALGOL 68 / Lexical analysis / Lex / Tree / Algebraic data type / Computing / Software engineering / Computer programming

Memphis C/C++ A Language for Compiler Writers This document gives an overview on Memphis, a C/C++ extension for compiler writers and other programmers having to manipulate symbolic data. Memphis provides a new kind of ty

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Source URL: memphis.compilertools.net

Language: English - Date: 2006-03-28 08:30:43
63Analytic number theory / Integer sequences / Field theory / Bateman–Horn conjecture / Finite field / Algebraic torus / Separable extension / Number theory / Field extension / Abstract algebra / Mathematics / Algebra

PRIME ORDER PRIMITIVE SUBGROUPS IN TORUS-BASED CRYPTOGRAPHY JASON E. GOWER Abstract. We use the Bateman-Horn conjecture to study the order of the set of Fq -rational points of primitive subgroups that arise in torus-base

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Source URL: eprint.iacr.org

Language: English - Date: 2006-12-06 18:43:19
64Universal algebra / Category theory / Model theory / Algebraic structures / Mathematical structures / Adjoint functors / Heyting algebra / Functor / Subalgebra / Mathematics / Abstract algebra / Algebra

Index of concepts A absolutely free extension constructor, 263 abstract algebraic institution, 218

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Source URL: homepages.inf.ed.ac.uk

Language: English - Date: 2012-09-04 10:34:40
65Modular arithmetic / Quadratic residue / Algebraic number theory / Group theory / Cubic reciprocity / Legendre symbol / Prime number / Elliptic curve / Finite field / Abstract algebra / Number theory / Mathematics

Universally Constructing 12-th Degree Extension Field for Ate Pairing Masaaki Shirase School of Systems Information, Future University Hakodate, 116-2 Kamedanakano, Hakodate, Hokkaido, Japan

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Source URL: eprint.iacr.org

Language: English - Date: 2010-02-18 23:01:15
66Vectors / Field extension / E-function / Vector space / Dimension / Algebra / Mathematics / Linear algebra

Tight bounds between algebraic immunity and nonlinearities of high orders Mikhail Lobanov Mech. & Math. Department Moscow State UniversityMoscow, Russia

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Source URL: eprint.iacr.org

Language: English - Date: 2007-12-15 04:06:11
67Jet / Singularity theory / E-function / Field extension / Mathematical analysis / Algebraic structures / Abstract algebra / Mathematics / Differential geometry

A lower bound on the higher order nonlinearity of algebraic immune functions Claude Carlet, INRIA Projet CODES, BP 105, 78153 Le Chesnay Cedex, France e-mail: also member of the University of Paris

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Source URL: eprint.iacr.org

Language: English - Date: 2005-12-29 12:10:10
68Polynomials / Post-quantum cryptography / Computer algebra / Finite fields / Algebraic geometry / Hidden Field Equations / Multivariate cryptography / Gröbner basis / Field extension / Abstract algebra / Algebra / Mathematics

A Family of Weak Keys in HFE (and the Corresponding Practical Key-Recovery) Charles Bouillaguet1 , Pierre-Alain Fouque1 , Antoine Joux2,3 , and Joana Treger2 1 Ecole Normale Supérieure

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Source URL: eprint.iacr.org

Language: English - Date: 2009-12-15 10:42:41
69Lattice points / Algebraic number theory / Analytic geometry / Lattice / Lenstra–Lenstra–Lovász lattice basis reduction algorithm / Algebraic number field / Field extension / Vector space / Ideal lattice cryptography / Algebra / Abstract algebra / Mathematics

Abstract Fix an integer m > 2 and let K be a number field containing the mth roots of unity with ring of integers R. Suppose that a is an element of K with a = c/d for c, d ∈ R, and that b is an ideal of R relatively

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Source URL: douglassquirrel.com

Language: English - Date: 2013-08-17 18:16:01
70Semigroup / Model theory / Linear temporal logic / Temporal logic / Algebraic structures

Linear temporal logi for regular ost fun tions Denis Kuperberg Liafa/CNRS/Université Paris 7, Denis Diderot, Fran e Regular ost fun tions have been introdu ed re ently as an extension to the notion of regular languag

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Source URL: www.liafa.univ-paris-diderot.fr

Language: English - Date: 2012-10-25 13:52:50
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