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Analytic 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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Document Date: 2006-12-06 18:43:19

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City

Remainder Theorem / TORUS / Warsaw / /

Company

ResL/K Gm / /

Currency

pence / /

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Facility

University of Minnesota / University of Wyoming / /

IndustryTerm

algebraic / index calculus algorithm / infinite product / squarefree product / multiplicative algebraic / multiplicative / /

Organization

Summer School on Computational Number Theory and Applications / University of Wyoming / American Mathematical Society / Institute for Mathematics / University of Minnesota / Minneapolis / /

Person

Dan Page / Martijn Stam / Gq / JASON E. GOWER / Vishal Saraswat / Eric Moorhouse / Roger A. Horn / Jesse Brinker / Beth Malmskog / Mark Bauer / David Woodruff / Samuel Wagstaff / Jr. / Robert Granger / Horn Conjecture / Paul T. Bateman / Elisa Gorla / Alice Silverberg / Karl Rubin / /

Product

Bateman-Horn / iRiver T30 Portable Audio Device / /

ProvinceOrState

Minnesota / Wyoming / /

PublishedMedium

Mathematics of Computation / Lecture Notes in Computer Science / /

Technology

CRYPTOGRAPHY / Digital Signature System / index calculus algorithm / Remainder Theorem-based Pohlig-Hellman algorithm / Pollard Rho algorithm / Public Key System / ElGamal encryption / /

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