Author: Massimiliano Sala
Publisher: Springer Science & Business Media
ISBN: 3540938060
Category : Mathematics
Languages : en
Pages : 428
Book Description
Coding theory and cryptography allow secure and reliable data transmission, which is at the heart of modern communication. Nowadays, it is hard to find an electronic device without some code inside. Gröbner bases have emerged as the main tool in computational algebra, permitting numerous applications, both in theoretical contexts and in practical situations. This book is the first book ever giving a comprehensive overview on the application of commutative algebra to coding theory and cryptography. For example, all important properties of algebraic/geometric coding systems (including encoding, construction, decoding, list decoding) are individually analysed, reporting all significant approaches appeared in the literature. Also, stream ciphers, PK cryptography, symmetric cryptography and Polly Cracker systems deserve each a separate chapter, where all the relevant literature is reported and compared. While many short notes hint at new exciting directions, the reader will find that all chapters fit nicely within a unified notation.
Gröbner Bases, Coding, and Cryptography
Author: Massimiliano Sala
Publisher: Springer Science & Business Media
ISBN: 3540938060
Category : Mathematics
Languages : en
Pages : 428
Book Description
Coding theory and cryptography allow secure and reliable data transmission, which is at the heart of modern communication. Nowadays, it is hard to find an electronic device without some code inside. Gröbner bases have emerged as the main tool in computational algebra, permitting numerous applications, both in theoretical contexts and in practical situations. This book is the first book ever giving a comprehensive overview on the application of commutative algebra to coding theory and cryptography. For example, all important properties of algebraic/geometric coding systems (including encoding, construction, decoding, list decoding) are individually analysed, reporting all significant approaches appeared in the literature. Also, stream ciphers, PK cryptography, symmetric cryptography and Polly Cracker systems deserve each a separate chapter, where all the relevant literature is reported and compared. While many short notes hint at new exciting directions, the reader will find that all chapters fit nicely within a unified notation.
Publisher: Springer Science & Business Media
ISBN: 3540938060
Category : Mathematics
Languages : en
Pages : 428
Book Description
Coding theory and cryptography allow secure and reliable data transmission, which is at the heart of modern communication. Nowadays, it is hard to find an electronic device without some code inside. Gröbner bases have emerged as the main tool in computational algebra, permitting numerous applications, both in theoretical contexts and in practical situations. This book is the first book ever giving a comprehensive overview on the application of commutative algebra to coding theory and cryptography. For example, all important properties of algebraic/geometric coding systems (including encoding, construction, decoding, list decoding) are individually analysed, reporting all significant approaches appeared in the literature. Also, stream ciphers, PK cryptography, symmetric cryptography and Polly Cracker systems deserve each a separate chapter, where all the relevant literature is reported and compared. While many short notes hint at new exciting directions, the reader will find that all chapters fit nicely within a unified notation.
Advances in Coding Theory and Cryptography
Selected Topics in Information and Coding Theory
Cryptography and Coding
Boolean Gröbner Bases
Author: Michael Brickenstein
Publisher: Logos Verlag Berlin GmbH
ISBN: 3832525971
Category : Computers
Languages : en
Pages : 158
Book Description
There exist very few concepts in computational algebra which are as central to theory and applications as Grobner bases. This thesis describes theory, algorithms and applications for the special case of Boolean polynomials. These parts form the mathematical foundations of the PolyBoRi framework (developed by the author together with Alexander Dreyer). The PolyBoRi framework has applications spread over a large number of domains ranging from formal verification, computational biology to cryptanalysis and many more. It is emerged to a worldwide audience by the Sage computational algebra system.
Publisher: Logos Verlag Berlin GmbH
ISBN: 3832525971
Category : Computers
Languages : en
Pages : 158
Book Description
There exist very few concepts in computational algebra which are as central to theory and applications as Grobner bases. This thesis describes theory, algorithms and applications for the special case of Boolean polynomials. These parts form the mathematical foundations of the PolyBoRi framework (developed by the author together with Alexander Dreyer). The PolyBoRi framework has applications spread over a large number of domains ranging from formal verification, computational biology to cryptanalysis and many more. It is emerged to a worldwide audience by the Sage computational algebra system.
Coding and Cryptography
Author: Øyvind Ytrehus
Publisher: Springer Science & Business Media
ISBN: 3540354816
Category : Computers
Languages : en
Pages : 452
Book Description
This book constitutes the thoroughly refereed post-proceedings of the International Workshop on Coding and Cryptography, WCC 2005, held in Bergen, Norway, in March 2005. The 33 revised full papers were carefully reviewed and selected during two rounds of review. The papers address all aspects of coding theory, cryptography and related areas, theoretical or applied.
Publisher: Springer Science & Business Media
ISBN: 3540354816
Category : Computers
Languages : en
Pages : 452
Book Description
This book constitutes the thoroughly refereed post-proceedings of the International Workshop on Coding and Cryptography, WCC 2005, held in Bergen, Norway, in March 2005. The 33 revised full papers were carefully reviewed and selected during two rounds of review. The papers address all aspects of coding theory, cryptography and related areas, theoretical or applied.
Cryptography and Coding
Author: Nigel Smart
Publisher: Springer
ISBN: 3540324186
Category : Computers
Languages : en
Pages : 468
Book Description
This book constitutes the refereed proceedings of the 10th IMA International Conference on Cryptography and Coding, held in Cirencester, UK, in December 2005. The 26 revised full papers presented together with 4 invited contributions were carefully reviewed and selected from 94 submissions. The papers are organized in topical sections on coding theory, signatures and signcryption, symmetric cryptography, side channels, algebraic cryptanalysis, information theoretic applications, number theoretic foundations, and public key and ID-based encryption schemes.
Publisher: Springer
ISBN: 3540324186
Category : Computers
Languages : en
Pages : 468
Book Description
This book constitutes the refereed proceedings of the 10th IMA International Conference on Cryptography and Coding, held in Cirencester, UK, in December 2005. The 26 revised full papers presented together with 4 invited contributions were carefully reviewed and selected from 94 submissions. The papers are organized in topical sections on coding theory, signatures and signcryption, symmetric cryptography, side channels, algebraic cryptanalysis, information theoretic applications, number theoretic foundations, and public key and ID-based encryption schemes.
Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Author: Maria Bras-Amorós
Publisher: Springer Science & Business Media
ISBN: 3642021808
Category : Computers
Languages : en
Pages : 253
Book Description
This book constitutes the refereed proceedings of the 18th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-18, held in Tarragona, Spain, in June 2009. The 22 revised full papers presented together with 7 extended absstracts were carefully reviewed and selected from 50 submissions. 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: algebraic algorithms and transforms; sequences and boolean functions.
Publisher: Springer Science & Business Media
ISBN: 3642021808
Category : Computers
Languages : en
Pages : 253
Book Description
This book constitutes the refereed proceedings of the 18th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-18, held in Tarragona, Spain, in June 2009. The 22 revised full papers presented together with 7 extended absstracts were carefully reviewed and selected from 50 submissions. 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: algebraic algorithms and transforms; sequences and boolean functions.
Public Key Cryptography -- PKC 2012
Author: Marc Fischlin
Publisher: Springer
ISBN: 364230057X
Category : Computers
Languages : en
Pages : 746
Book Description
This book constitutes the refereed proceedings of the 15th International Conference on Practice and Theory in Public Key Cryptography, PKC 2012, held in Darmstadt, Germany, in May 2012. The 41 papers presented were carefully reviewed and selected from 188 submissions. The book also contains one invited talk. The papers are organized in the following topical sections: homomorphic encryption and LWE, signature schemes, code-based and multivariate crypto, public key encryption: special properties, identity-based encryption, public-key encryption: constructions, secure two-party and multi-party computations, key exchange and secure sessions, public-key encryption: relationships, DL, DDH, and more number theory, and beyond ordinary signature schemes.
Publisher: Springer
ISBN: 364230057X
Category : Computers
Languages : en
Pages : 746
Book Description
This book constitutes the refereed proceedings of the 15th International Conference on Practice and Theory in Public Key Cryptography, PKC 2012, held in Darmstadt, Germany, in May 2012. The 41 papers presented were carefully reviewed and selected from 188 submissions. The book also contains one invited talk. The papers are organized in the following topical sections: homomorphic encryption and LWE, signature schemes, code-based and multivariate crypto, public key encryption: special properties, identity-based encryption, public-key encryption: constructions, secure two-party and multi-party computations, key exchange and secure sessions, public-key encryption: relationships, DL, DDH, and more number theory, and beyond ordinary signature schemes.
Cryptography and Coding
Author: Matthew G. Parker
Publisher: Springer
ISBN: 3642108687
Category : Computers
Languages : en
Pages : 495
Book Description
This book constitutes the refereed proceedings of the 12th IMA International Conference on Cryptography and Coding, held in Cirencester, UK in December 2009. The 26 revised full papers presented together with 3 invited contributions were carefully reviewed and selected from 53 submissions. The papers are organized in topical sections on coding theory, symmetric cryptography, security protocols, asymmetric cryptography, Boolean functions and side channels and implementations.
Publisher: Springer
ISBN: 3642108687
Category : Computers
Languages : en
Pages : 495
Book Description
This book constitutes the refereed proceedings of the 12th IMA International Conference on Cryptography and Coding, held in Cirencester, UK in December 2009. The 26 revised full papers presented together with 3 invited contributions were carefully reviewed and selected from 53 submissions. The papers are organized in topical sections on coding theory, symmetric cryptography, security protocols, asymmetric cryptography, Boolean functions and side channels and implementations.