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Author: Sihem Mesnager Publisher: Springer ISBN: 3319325957 Category : Computers Languages : en Pages : 544

Book Description
This book gives a detailed survey of the main results on bent functions over finite fields, presents a systematic overview of their generalizations, variations and applications, considers open problems in classification and systematization of bent functions, and discusses proofs of several results. This book uniquely provides a necessary comprehensive coverage of bent functions.It serves as a useful reference for researchers in discrete mathematics, coding and cryptography. Students and professors in mathematics and computer science will also find the content valuable, especially those interested in mathematical foundations of cryptography. It can be used as a supplementary text for university courses on discrete mathematics, Boolean functions, or cryptography, and is appropriate for both basic classes for under-graduate students and advanced courses for specialists in cryptography and mathematics.

Author: Sihem Mesnager Publisher: Springer ISBN: 3319325957 Category : Computers Languages : en Pages : 544

Book Description
This book gives a detailed survey of the main results on bent functions over finite fields, presents a systematic overview of their generalizations, variations and applications, considers open problems in classification and systematization of bent functions, and discusses proofs of several results. This book uniquely provides a necessary comprehensive coverage of bent functions.It serves as a useful reference for researchers in discrete mathematics, coding and cryptography. Students and professors in mathematics and computer science will also find the content valuable, especially those interested in mathematical foundations of cryptography. It can be used as a supplementary text for university courses on discrete mathematics, Boolean functions, or cryptography, and is appropriate for both basic classes for under-graduate students and advanced courses for specialists in cryptography and mathematics.

Author: Natalia Tokareva Publisher: Academic Press ISBN: 0128025557 Category : Mathematics Languages : en Pages : 220

Book Description
Bent Functions: Results and Applications to Cryptography offers a unique survey of the objects of discrete mathematics known as Boolean bent functions. As these maximal, nonlinear Boolean functions and their generalizations have many theoretical and practical applications in combinatorics, coding theory, and cryptography, the text provides a detailed survey of their main results, presenting a systematic overview of their generalizations and applications, and considering open problems in classification and systematization of bent functions. The text is appropriate for novices and advanced researchers, discussing proofs of several results, including the automorphism group of bent functions, the lower bound for the number of bent functions, and more. Provides a detailed survey of bent functions and their main results, presenting a systematic overview of their generalizations and applications Presents a systematic and detailed survey of hundreds of results in the area of highly nonlinear Boolean functions in cryptography Appropriate coverage for students from advanced specialists in cryptography, mathematics, and creators of ciphers

Author: Serdar Boztas Publisher: Springer ISBN: 3540772243 Category : Computers Languages : en Pages : 368

Book Description
This book constitutes the refereed proceedings of the 17th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-17, held in Bangalore, India, in December 2007. Among the subjects addressed are block codes, including list-decoding algorithms; algebra and codes: rings, fields, algebraic geometry codes; algebra: rings and fields, polynomials, permutations, lattices; cryptography: cryptanalysis and complexity; computational algebra.

Author: Sihem Mesnager Publisher: Springer Nature ISBN: 3031229444 Category : Computers Languages : en Pages : 353

Book Description
This book constitutes the thoroughly refereed post-workshop proceedings of the 8th International Workshop on the Arithmetic of Finite Field, WAIFI 2022, held in Chengdu, China, in August – September 2022. The 19 revised full papers and 3 invited talks presented were carefully reviewed and selected from 25 submissions. The papers are organized in topical sections: structures in finite fields; efficient finite field arithmetic; coding theory; cryptography; sequences.

Author: K. J. Horadam Publisher: Princeton University Press ISBN: 069111921X Category : Mathematics Languages : en Pages : 277

Book Description
In Hadamard Matrices and Their Applications, K. J. Horadam provides the first unified account of cocyclic Hadamard matrices and their applications in signal and data processing. This original work is based on the development of an algebraic link between Hadamard matrices and the cohomology of finite groups that was discovered fifteen years ago. The book translates physical applications into terms a pure mathematician will appreciate, and theoretical structures into ones an applied mathematician, computer scientist, or communications engineer can adapt and use. The first half of the book explains the state of our knowledge of Hadamard matrices and two important generalizations: matrices with group entries and multidimensional Hadamard arrays. It focuses on their applications in engineering and computer science, as signal transforms, spreading sequences, error-correcting codes, and cryptographic primitives. The book's second half presents the new results in cocyclic Hadamard matrices and their applications. Full expression of this theory has been realized only recently, in the Five-fold Constellation. This identifies cocyclic generalized Hadamard matrices with particular "stars" in four other areas of mathematics and engineering: group cohomology, incidence structures, combinatorics, and signal correlation. Pointing the way to possible new developments in a field ripe for further research, this book formulates and discusses ninety open questions.

Author: Serge Vaudenay Publisher: Springer ISBN: 354045537X Category : Computers Languages : en Pages : 364

Book Description
This book constitutes the thoroughly refereed post-proceedings of the 8th International Workshop on Selected Areas in Cryptology, SAC 2001, held in Toronto, Ontario, Canada in August 2001. The 25 revised full papers presented together with the abstracts of two invited talks were carefully reviewed and selected during two rounds of refereeing and revision. The papers are organized in topical sections on cryptanalysis, Boolean functions, Rijndael, elliptic curves and efficient implementation, public key systems, and protocols and MAC.

Author: Alfred Menezes Publisher: Springer Science & Business Media ISBN: 3540002634 Category : Business & Economics Languages : en Pages : 449

Book Description
This book constitutes the refereed proceedings of the Third International Conference on Cryptology in India, INDOCRYPT 2002, held in Hyderabad, India in December 2002. The 31 revised full papers presented together with 2 invited papers were carefully reviewed and selected from 75 submissions. The papers are organized in topical sections on symmetric cyphers, new public-key schemes, foundations, public-key infrastructures, fingerprinting and watermarking, public-key protocols, Boolean functions, efficient and secure implementations, applications, anonymity, and secret sharing and oblivious transfer.

Author: Josef Pieprzyk Publisher: Springer Science & Business Media ISBN: 9783540431015 Category : Computers Languages : en Pages : 704

Book Description
This reference work looks at modern concepts of computer security. It introduces the basic mathematical background necessary to follow computer security concepts before moving on to modern developments in cryptography. The concepts are presented clearly and illustrated by numerous examples. Subjects covered include: private-key and public-key encryption, hashing, digital signatures, authentication, secret sharing, group-oriented cryptography, and many others. The section on intrusion detection and access control provide examples of security systems implemented as a part of operating system. Database and network security is also discussed. The final chapters introduce modern e- business systems based on digital cash.

Author: Kefei Chen Publisher: Springer ISBN: 3319547054 Category : Computers Languages : en Pages : 544

Book Description
This book constitutes the thoroughly refereed post-conference proceedings of the 12th International Conference on Information Security and Cryptology, Inscrypt 2016, held in Beijing, China, in November 2016. The 32 revised full papers presented were carefully reviewed and selected from 93 submissions. The papers are organized in topical sections on symmetric ciphers; public-key cryptosystems; signature and authentication; homomorphic encryption; leakage-resilient; post-quantum cryptography; commitment and protocol; elliptic curves; security and implementation.

Author: Ding Cunsheng Publisher: World Scientific ISBN: 981461937X Category : Mathematics Languages : en Pages : 356

Book Description
This is the first monograph on codebooks and linear codes from difference sets and almost difference sets. It aims at providing a survey of constructions of difference sets and almost difference sets as well as an in-depth treatment of codebooks and linear codes from difference sets and almost difference sets. To be self-contained, this monograph covers necessary mathematical foundations and the basics of coding theory. It also contains tables of best BCH codes and best cyclic codes over GF(2) and GF(3) up to length 125 and 79, respectively. This repository of tables can be used to benchmark newly constructed cyclic codes. This monograph is intended to be a reference for postgraduates and researchers who work on combinatorics, or coding theory, or digital communications.