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Books > Computing & IT > Applications of computing > Databases > Data security & data encryption
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Group Theoretic Cryptography (Hardcover, New)
Loot Price: R3,280
Discovery Miles 32 800
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Group Theoretic Cryptography (Hardcover, New)
Series: Chapman & Hall/CRC Cryptography and Network Security Series
Expected to ship within 12 - 17 working days
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Group theoretic problems have propelled scientific achievements
across a wide range of fields, including mathematics, physics,
chemistry, and the life sciences. Many cryptographic constructions
exploit the computational hardness of group theoretical problems,
and the area is viewed as a potential source of quantum-resilient
cryptographic primitives for the future. Group Theoretic
Cryptography supplies an ideal introduction to cryptography for
those who are interested in group theory and want to learn about
the possible interplays between the two fields. Assuming an
undergraduate-level understanding of linear algebra and discrete
mathematics, it details the specifics of using non-Abelian groups
in the field of cryptography. Moreover, the book evidences how
group theoretic techniques help us gain new insight into well
known, seemingly unrelated, cryptographic constructions, such as
DES. The book starts with brief overviews of the fundamentals of
group theory, complexity theory, and cryptography. Part two is
devoted to public-key encryption, including provable security
guarantees, public-key encryption in the standard model, and
public-key encryption using infinite groups. The third part of the
book covers secret-key encryption. It examines block ciphers, like
the Advanced Encryption Standard, and cryptographic hash functions
and message authentication codes. The last part delves into a
number of cryptographic applications which are nowadays as relevant
as encryption-identification protocols, key establishment, and
signature schemes are covered. The book supplies formal security
analyses and highlights potential vulnerabilities for cryptographic
constructions involving group theory. Summaries and references for
further reading, as well as exercises, are included at the end of
each chapter. Selected solutions for exercises are provided in the
back of the book.
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