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Titlebook: Elementary Number Theory, Cryptography and Codes; Maria Welleda Baldoni,Ciro Ciliberto,Giulia Maria Textbook 2009 Springer-Verlag Berlin

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書(shū)目名稱Elementary Number Theory, Cryptography and Codes
編輯Maria Welleda Baldoni,Ciro Ciliberto,Giulia Maria
視頻videohttp://file.papertrans.cn/308/307399/307399.mp4
概述Nice, elementary introduction to number theory on two of its real-world applications.Includes supplementary material:
叢書(shū)名稱Universitext
圖書(shū)封面Titlebook: Elementary Number Theory, Cryptography and Codes;  Maria Welleda Baldoni,Ciro Ciliberto,Giulia Maria  Textbook 2009 Springer-Verlag Berlin
描述.In this volume one finds basic techniques from algebra and number theory (e.g. congruences, unique factorization domains, finite fields, quadratic residues, primality tests, continued fractions, etc.) which in recent years have proven to be extremely useful for applications to cryptography and coding theory. Both cryptography and codes have crucial applications in our daily lives, and they are described here, while the complexity problems that arise in implementing the related numerical algorithms are also taken into due account. Cryptography has been developed in great detail, both in its classical and more recent aspects. In particular public key cryptography is extensively discussed, the use of algebraic geometry, specifically of elliptic curves over finite fields, is illustrated, and a final chapter is devoted to quantum cryptography, which is the new frontier of the field. Coding theory is not discussed in full; however a chapter, sufficient for a good introduction to the subject, has been devoted to linear codes. Each chapter ends with several complements and with an extensive list of exercises, the solutions to most of which are included in the last chapter. ..Though the bo
出版日期Textbook 2009
關(guān)鍵詞Crib; DES; Number theory; coding theory; complexity; cryptography; finite field; combinatorics
版次1
doihttps://doi.org/10.1007/978-3-540-69200-3
isbn_softcover978-3-540-69199-0
isbn_ebook978-3-540-69200-3Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer-Verlag Berlin Heidelberg 2009
The information of publication is updating

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Finite fields and polynomial congruences,en in the previous chapters and important in their own right. However they are mostly significant in connection with some of their applications, for instance to cryptography and codes, to the problem of factoring integers and to primality tests, as we shall see in the next chapters.
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The future is already here: quantum cryptography,ne hand, quantum cryptography envisions the creation of a computer completely different and unprecedented with respect to classical computers, the so-called .. At present, it is only conceived as a theoretical possibility; but if it were actually developed, it would be able to perform in polynomial
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