Algebra and Number Theory

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 2002Publisher:Springer Berlin Heidelberg

Authors: Hans Delfs; Helmut Knebl;

doi: 10.1007/978-3-642-87126-9_11

Algebra and Number Theory

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Abstract

Public-key cryptosystems are based on modular arithmetic. In this section, we summarize the concepts and results from algebra and number theory which are necessary for an understanding of the cryptographic methods. Textbooks on number theory and modular arithmetic include [HarWri79], [IreRos82], [Rose94], [Forster96] and [Rosen2000]. This section is also intended to establish notation. We assume that the reader is familiar with the elementary notions of algebra, such as groups, rings and fields.

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