Hidden Bibliographic Details
Other authors / contributors: | Petzoldt, Albrecht, author.
Schmidt, Dieter S., author.
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ISBN: | 9781071609873 1071609874 1071609858 9781071609859
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Digital file characteristics: | text file PDF
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Notes: | Includes bibliographical references and index. Description based on online resource; title from digital title page (viewed on November 25, 2020).
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Summary: | This book discusses the current research concerning public key cryptosystems. It begins with an introduction to the basic concepts of multivariate cryptography and the history of this field. The authors provide a detailed description and security analysis of the most important multivariate public key schemes, including the four multivariate signature schemes participating as second round candidates in the NIST standardization process for post-quantum cryptosystems. Furthermore, this book covers the Simple Matrix encryption scheme, which is currently the most promising multivariate public key encryption scheme. This book also covers the current state of security analysis methods for Multivariate Public Key Cryptosystems including the algorithms and theory of solving systems of multivariate polynomial equations over finite fields. Through the book's website, interested readers can find source code to the algorithms handled in this book. In 1994, Dr. Peter Shor from Bell Laboratories proposed a quantum algorithm solving the Integer Factorization and the Discrete Logarithm problem in polynomial time, thus making all of the currently used public key cryptosystems, such as RSA and ECC insecure. Therefore, there is an urgent need for alternative public key schemes which are resistant against quantum computer attacks. Researchers worldwide, as well as companies and governmental organizations have put a tremendous effort into the development of post-quantum public key cryptosystems to meet this challenge. One of the most promising candidates for this are Multivariate Public Key Cryptosystems (MPKCs). The public key of an MPKC is a set of multivariate polynomials over a small finite field. Especially for digital signatures, numerous well-studied multivariate schemes offering very short signatures and high efficiency exist.
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Other form: | Print version: Ding, Jintai Multivariate Public Key Cryptosystems New York, NY : Springer,c2020 9781071609859
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Standard no.: | 10.1007/978-1-0716-0987-3
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