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020 _a9789349750197
040 _aNISER LIBRARY
_beng
_cNISER LIBRARY
082 _a519.6
_bKNO-C
100 _aKnospe, Heiko
245 _aCourse in cryptography
260 _aIndia :
_bUniversities Press,
_c2025.
300 _axvii, 323 pages ;
_c27 cm.
490 _aPure and applied undergraduate texts ;
_v40
490 _aThe Sally series
504 _aIncludes bibliographical references and index.
520 _aThis book provides a compact course in modern cryptography. The mathematical foundations in algebra, number theory and probability are presented with a focus on their cryptographic applications. The text provides rigorous definitions and follows the provable security approach. The most relevant cryptographic schemes are covered, including block ciphers, stream ciphers, hash functions, message authentication codes, public-key encryption, key establishment, digital signatures and elliptic curves. The current developments in post-quantum cryptography are also explored, with separate chapters on quantum computing, lattice-based and code-based cryptosystems. Many examples, figures and exercises, as well as SageMath (Python) computer code, help the reader to understand the concepts and applications of modern cryptography. A special focus is on algebraic structures, which are used in many cryptographic constructions and also in post-quantum systems. The essential mathematics and the modern approach to cryptography and security prepare the reader for more advanced studies. The text requires only a first-year course in mathematics (calculus and linear algebra) and is also accessible to computer scientists and engineers. This book is suitable as a textbook for undergraduate and graduate courses in cryptography as well as for self-study.
521 _aReadership: Undergraduate students interested in cryptography.
650 _aCryptography
650 _aCoding theory
650 _aCiphers
650 _aInformation and communication, circuits
_xCommunication, information
_xCryptography
650 _aComputer science
_xTheory of data
_xData encryption
650 _aQuantum theory
_xAxiomatics, foundations, philosophy
_xQuantum cryptography
650 _aNumber theory
_xFinite fields and commutative rings (number-theoretic aspects)
_xAlgebraic coding theory; cryptography
856 _3Table of Contents
_uhttps://www.ams.org/bookstore/pspdf/amstext-40-toc.pdf?_gl=1*yvfqac*_ga*NzkyMDE0ODczLjE3NTAwNDYzMjU.*_ga_26G4XFTR63*czE3NTAwNDYzMjQkbzEkZzEkdDE3NTAwNTQ3ODIkajUxJGwwJGgw
856 _3Reviews
_uhttps://www.goodreads.com/book/show/52718269-a-course-in-cryptography?ref=nav_sb_ss_4_24#CommunityReviews
942 _2udc
_cN
999 _c36047
_d36047