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Algebra and Number Theory

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Introduction to Cryptography

Part of the book series: Information Security and Cryptography ((ISC))

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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© 2002 Springer-Verlag Berlin Heidelberg

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Delfs, H., Knebl, H. (2002). Algebra and Number Theory. In: Introduction to Cryptography. Information Security and Cryptography. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-87126-9_11

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  • DOI: https://doi.org/10.1007/978-3-642-87126-9_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-87128-3

  • Online ISBN: 978-3-642-87126-9

  • eBook Packages: Springer Book Archive

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