Read e-book online Group Theoretic Cryptography (Chapman & Hall/CRC PDF

By Maria Isabel González Vasco,Rainer Steinwandt

ISBN-10: 1584888369

ISBN-13: 9781584888369

Group theoretic difficulties have propelled clinical achievements throughout quite a lot of fields, together with arithmetic, physics, chemistry, and the lifestyles sciences. Many cryptographic buildings take advantage of the computational hardness of staff theoretical difficulties, and the world is considered as a possible resource of quantum-resilient cryptographic primitives for the long run.

Group Theoretic Cryptography offers an awesome advent to cryptography in case you have an interest in workforce idea and need to profit in regards to the attainable interplays among the 2 fields. Assuming an undergraduate-level knowing of linear algebra and discrete arithmetic, it info the specifics of utilizing non-Abelian teams within the box of cryptography.

Moreover, the ebook evidences how staff theoretic ideas aid us achieve new perception into renowned, doubtless unrelated, cryptographic buildings, resembling DES.

The booklet begins with short overviews of the basics of team concept, complexity thought, and cryptography. half is dedicated to public-key encryption, together with provable safeguard promises, public-key encryption within the average version, and public-key encryption utilizing limitless teams.

The 3rd a part of the e-book covers secret-key encryption. It examines block ciphers, just like the complicated Encryption typical, and cryptographic hash capabilities and message authentication codes. The final half delves right into a variety of cryptographic purposes that are these days as suitable as encryption—identification protocols, key institution, and signature schemes are covered.

The ebook provides formal protection analyses and highlights power vulnerabilities for cryptographic structures concerning workforce idea. Summaries and references for extra studying, in addition to workouts, are integrated on the finish of every bankruptcy. chosen recommendations for routines are supplied at the back of the book.

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Group Theoretic Cryptography (Chapman & Hall/CRC Cryptography and Network Security Series) by Maria Isabel González Vasco,Rainer Steinwandt

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