Elliptic curves over finite fields: number theoretic and cryptographic aspects

Igor E. Shparlinski

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

2 Citations (Scopus)

Abstract

We present a collection of several natural questions about elliptic curves, mostly over finite fields, that have led to some interesting number theoretic questions and whose solutions require rather involved techniques from various area of number theory. Some of these questions are of intrinsic value for the theory of elliptic curves; they stem from their application to cryptography.

Original languageEnglish
Title of host publicationAdvances in Applied Mathematics, Modeling, and Computational Science
EditorsRoderick Melnik, Ilias S. Kotsireas
Place of PublicationNew York
PublisherSpringer, Springer Nature
Pages65-90
Number of pages26
ISBN (Electronic)9781461453895
ISBN (Print)9781461453888
DOIs
Publication statusPublished - 2013

Publication series

NameFields Institute Communications
PublisherSpringer
Volume66
ISSN (Print)1069-5265

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