Info
Advances in coding theory and crytography [[electronic resource] /] / editors T. Shaska ... [et al.]
| Advances in coding theory and crytography [[electronic resource] /] / editors T. Shaska ... [et al.] |
| Pubbl/distr/stampa | New Jersey, : World Scientific, c2007 |
| Descrizione fisica | 1 online resource (268 p.) |
| Disciplina | 003/.54 |
| Altri autori (Persone) | ShaskaTony <1967-> |
| Collana | Series on coding theory and cryptology |
| Soggetto topico |
Coding theory
Cryptography |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-91189-5
9786611911898 981-277-202-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; List of authors; CONTENTS; The key equation for codes from order domains J. B. Little; 1. Introduction; 2. Codes from Order Domains; 3. Preliminaries on Inverse Systems; 4. The Key Equation and its Relation to the BMS Algorithm; Acknowledgements; References; A Grobner representation for linear codes M. Borges-Quintana, M. A. Borges-Trenard and E. Mart nez-Moro; 1. Introduction; 2. M ̈oller's algorithm; 3. Gr ̈obner representation of a linear code; 4. Reduced and border bases; 4.1. Binary codes; 5. Applications; 5.1. Gradient decoding; 5.2. Permutation equivalent codes
5.3. Gr ̈obner codewords for binary codesAcknowledgments; References; Arcs, minihypers, and the classification of three-dimensional Griesmer codes H. N. Ward; 1. Introduction; 2. Codes and the Griesmer bound; 3. Codes and multisets; 3.1. Arcs; 3.2. Combinations; 4. Minihypers; 4.1. The Hamada bound; 4.2. Achievement of the Griesmer bound; 5. Divisibility; 6. Three-dimensional Griesmer codes; 6.1. Orphans; 6.2. Divisibility; 6.3. The [92, 3, 80]8 codes; 6.4. Duality; Acknowledgment; References; Optical orthogonal codes from Singer groups T. L. Alderson and K. E. Mellinger; 1. Introduction 2. Preliminaries 3. A construction from arcs in d-flats; 4. A construction from arcs of higher degree; 5. Affine constructions; 6. Conclusion; Acknowledgments; References; Codes over Fp 2 and Fp x Fp, lattices, and theta functions T. Shaska and C. Shor; 1. Introduction; 2. Preliminaries; 2.1. Theta functions over Fp; 3. Theta functions of codes over R; 3.1. A MacWilliams identity; 3.2. A generalization of the symmetric weight enumerator polynomial; 4. The injectivity of construction A; 4.1. The case p = 2; 4.2. The case p > 2; Acknowledgment; References Goppa codes and Tschirnhausen modules D. Coles and E. PreviatoIntroduction; 1. Goppa Codes and rank-2 Vector Bundles; 2. The Klein Curve as Cover; 3. The Tschirnhausen Module of the Cover; 4. Goppa Codes and Adeles; 4.1. Adeles and pseudo-differentials; 4.2. Goppa codes and adeles; Acknowledgements; References; Remarks on s-extremal codes J.-L. Kim; 1. Introduction; 2. s-Extremal Additive F4 Codes; 3. s-Extremal Binary Codes; 4. Conclusion; Acknowledgments; References; Automorphism groups of generalized Reed-Solomon codes D. Joyner, A. Ksir and W. Traves; 1. Introduction 2. AG codes and GRS codes 3. Automorphisms; 4. Examples; 5. Structure of the representations; References; About the code equivalence I. G. Bouyukliev; 1. Introduction; 2. Codes and binary matrices; 2.1. Equivalence of linear codes; 2.2. Isomorphism of binary matrices; 2.3. The connection between equivalence of linear codes and isomorphism of binary matrices; 3. Orbits, partitions, invariants; 3.1. Orbits; 3.2. Partitions, ordered partitions; 3.3. Definition of invariants; 3.4. Properties of partitions induced by invariants; 3.5. Invariants of columns and rows; 4. Main algorithm 4.1. Additional invariants |
| Record Nr. | UNINA-9910450933803321 |
| New Jersey, : World Scientific, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Advances in coding theory and crytography [[electronic resource] /] / editors T. Shaska ... [et al.]
| Advances in coding theory and crytography [[electronic resource] /] / editors T. Shaska ... [et al.] |
| Pubbl/distr/stampa | New Jersey, : World Scientific, c2007 |
| Descrizione fisica | 1 online resource (268 p.) |
| Disciplina | 003/.54 |
| Altri autori (Persone) | ShaskaTony <1967-> |
| Collana | Series on coding theory and cryptology |
| Soggetto topico |
Coding theory
Cryptography |
| ISBN |
1-281-91189-5
9786611911898 981-277-202-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; List of authors; CONTENTS; The key equation for codes from order domains J. B. Little; 1. Introduction; 2. Codes from Order Domains; 3. Preliminaries on Inverse Systems; 4. The Key Equation and its Relation to the BMS Algorithm; Acknowledgements; References; A Grobner representation for linear codes M. Borges-Quintana, M. A. Borges-Trenard and E. Mart nez-Moro; 1. Introduction; 2. M ̈oller's algorithm; 3. Gr ̈obner representation of a linear code; 4. Reduced and border bases; 4.1. Binary codes; 5. Applications; 5.1. Gradient decoding; 5.2. Permutation equivalent codes
5.3. Gr ̈obner codewords for binary codesAcknowledgments; References; Arcs, minihypers, and the classification of three-dimensional Griesmer codes H. N. Ward; 1. Introduction; 2. Codes and the Griesmer bound; 3. Codes and multisets; 3.1. Arcs; 3.2. Combinations; 4. Minihypers; 4.1. The Hamada bound; 4.2. Achievement of the Griesmer bound; 5. Divisibility; 6. Three-dimensional Griesmer codes; 6.1. Orphans; 6.2. Divisibility; 6.3. The [92, 3, 80]8 codes; 6.4. Duality; Acknowledgment; References; Optical orthogonal codes from Singer groups T. L. Alderson and K. E. Mellinger; 1. Introduction 2. Preliminaries 3. A construction from arcs in d-flats; 4. A construction from arcs of higher degree; 5. Affine constructions; 6. Conclusion; Acknowledgments; References; Codes over Fp 2 and Fp x Fp, lattices, and theta functions T. Shaska and C. Shor; 1. Introduction; 2. Preliminaries; 2.1. Theta functions over Fp; 3. Theta functions of codes over R; 3.1. A MacWilliams identity; 3.2. A generalization of the symmetric weight enumerator polynomial; 4. The injectivity of construction A; 4.1. The case p = 2; 4.2. The case p > 2; Acknowledgment; References Goppa codes and Tschirnhausen modules D. Coles and E. PreviatoIntroduction; 1. Goppa Codes and rank-2 Vector Bundles; 2. The Klein Curve as Cover; 3. The Tschirnhausen Module of the Cover; 4. Goppa Codes and Adeles; 4.1. Adeles and pseudo-differentials; 4.2. Goppa codes and adeles; Acknowledgements; References; Remarks on s-extremal codes J.-L. Kim; 1. Introduction; 2. s-Extremal Additive F4 Codes; 3. s-Extremal Binary Codes; 4. Conclusion; Acknowledgments; References; Automorphism groups of generalized Reed-Solomon codes D. Joyner, A. Ksir and W. Traves; 1. Introduction 2. AG codes and GRS codes 3. Automorphisms; 4. Examples; 5. Structure of the representations; References; About the code equivalence I. G. Bouyukliev; 1. Introduction; 2. Codes and binary matrices; 2.1. Equivalence of linear codes; 2.2. Isomorphism of binary matrices; 2.3. The connection between equivalence of linear codes and isomorphism of binary matrices; 3. Orbits, partitions, invariants; 3.1. Orbits; 3.2. Partitions, ordered partitions; 3.3. Definition of invariants; 3.4. Properties of partitions induced by invariants; 3.5. Invariants of columns and rows; 4. Main algorithm 4.1. Additional invariants |
| Record Nr. | UNINA-9910784826803321 |
| New Jersey, : World Scientific, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Advances on superelliptic curves and their applications / / edited by Lubjana Beshaj, Tony Shaska and Eustrat Zhupa
| Advances on superelliptic curves and their applications / / edited by Lubjana Beshaj, Tony Shaska and Eustrat Zhupa |
| Pubbl/distr/stampa | Amsterdam, Netherlands : , : IOS Press, , 2015 |
| Descrizione fisica | 1 online resource (387 p.) |
| Disciplina | 516.352 |
| Collana | NATO Science for Peace and Security Series - D: Information and Communication Security |
| Soggetto topico |
Curves, Elliptic
Cryptography |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-61499-520-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Advances on Superelliptic Curves and Their Applications""; ""Preface ""; ""Contents""; ""The case for superelliptic curves""; ""Weierstrass points of superelliptic curves""; ""Theta functions of superelliptic curves""; ""Cyclic curves over the reals""; ""Reduction theory of binary forms""; ""Sato-Tate groups of genus 2 curves""; ""Heights on algebraic curves""; ""Descent and Covering Collections""; ""Chabauty and theMordell-Weil Sieve""; ""Rational points on Jacobians of hyperelliptic curves""; ""Explicit p-adic methods for elliptic and hyperelliptic curves""
""Error Correcting Quantum Codes and Algebraic Curves""""Graph based cubical multivariate maps and their cryptographical applications""; ""Weight distributions, zeta functions and Riemann hypothesis for linear and algebraic geometry codes""; ""Galois geometries, codes, and new invariants for incidence structures""; ""Subject Index""; ""Author Index"" |
| Record Nr. | UNINA-9910460487603321 |
| Amsterdam, Netherlands : , : IOS Press, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Advances on superelliptic curves and their applications / / edited by Lubjana Beshaj, Tony Shaska and Eustrat Zhupa
| Advances on superelliptic curves and their applications / / edited by Lubjana Beshaj, Tony Shaska and Eustrat Zhupa |
| Pubbl/distr/stampa | Amsterdam, Netherlands : , : IOS Press, , 2015 |
| Descrizione fisica | 1 online resource (387 p.) |
| Disciplina | 516.352 |
| Collana | NATO Science for Peace and Security Series - D: Information and Communication Security |
| Soggetto topico |
Curves, Elliptic
Cryptography |
| ISBN | 1-61499-520-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Advances on Superelliptic Curves and Their Applications""; ""Preface ""; ""Contents""; ""The case for superelliptic curves""; ""Weierstrass points of superelliptic curves""; ""Theta functions of superelliptic curves""; ""Cyclic curves over the reals""; ""Reduction theory of binary forms""; ""Sato-Tate groups of genus 2 curves""; ""Heights on algebraic curves""; ""Descent and Covering Collections""; ""Chabauty and theMordell-Weil Sieve""; ""Rational points on Jacobians of hyperelliptic curves""; ""Explicit p-adic methods for elliptic and hyperelliptic curves""
""Error Correcting Quantum Codes and Algebraic Curves""""Graph based cubical multivariate maps and their cryptographical applications""; ""Weight distributions, zeta functions and Riemann hypothesis for linear and algebraic geometry codes""; ""Galois geometries, codes, and new invariants for incidence structures""; ""Subject Index""; ""Author Index"" |
| Record Nr. | UNINA-9910797481803321 |
| Amsterdam, Netherlands : , : IOS Press, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Advances on superelliptic curves and their applications / / edited by Lubjana Beshaj, Tony Shaska and Eustrat Zhupa
| Advances on superelliptic curves and their applications / / edited by Lubjana Beshaj, Tony Shaska and Eustrat Zhupa |
| Pubbl/distr/stampa | Amsterdam, Netherlands : , : IOS Press, , 2015 |
| Descrizione fisica | 1 online resource (387 p.) |
| Disciplina | 516.352 |
| Collana | NATO Science for Peace and Security Series - D: Information and Communication Security |
| Soggetto topico |
Curves, Elliptic
Cryptography |
| ISBN | 1-61499-520-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Advances on Superelliptic Curves and Their Applications""; ""Preface ""; ""Contents""; ""The case for superelliptic curves""; ""Weierstrass points of superelliptic curves""; ""Theta functions of superelliptic curves""; ""Cyclic curves over the reals""; ""Reduction theory of binary forms""; ""Sato-Tate groups of genus 2 curves""; ""Heights on algebraic curves""; ""Descent and Covering Collections""; ""Chabauty and theMordell-Weil Sieve""; ""Rational points on Jacobians of hyperelliptic curves""; ""Explicit p-adic methods for elliptic and hyperelliptic curves""
""Error Correcting Quantum Codes and Algebraic Curves""""Graph based cubical multivariate maps and their cryptographical applications""; ""Weight distributions, zeta functions and Riemann hypothesis for linear and algebraic geometry codes""; ""Galois geometries, codes, and new invariants for incidence structures""; ""Subject Index""; ""Author Index"" |
| Record Nr. | UNINA-9910826170403321 |
| Amsterdam, Netherlands : , : IOS Press, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algebraic aspects of digital communications [[electronic resource] /] / edited by Tanush Shaska and Engjell Hasimaj
| Algebraic aspects of digital communications [[electronic resource] /] / edited by Tanush Shaska and Engjell Hasimaj |
| Pubbl/distr/stampa | Amsterdam, : Ios Press, 2009 |
| Descrizione fisica | 1 online resource (296 p.) |
| Disciplina | 621.38 |
| Altri autori (Persone) |
ShaskaTony <1967->
HasimajEngjell |
| Collana | NATO science for peace and security series. Sub-series D, Information and communication security |
| Soggetto topico |
Digital communications - Mathematics
Mathematics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
6612298154
1-282-29815-1 9786612298158 1-60750-439-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Title page; Preface; Contents; Additive Codes over F4 with Automorphisms; Self-dual codes and invariant theory; Vector Bundles in Error-Correctingfor Geometric Goppa Codes; Combinatorial Designs and CodeSynchronization; Real and imaginary hyperelliptic curvecryptography - Aspects of curvecryptography; Divisibility, Smoothness andCryptographic Applications; A variant of the Reidemeister-Schreieralgorithm for the fundamental groups ofRiemann surfaces; Theta functions and algebraic curves withautomorphisms; Enumerative Geometry and String Theory
On the Cryptographical Propertiesof Extremal Algebraic GraphsSubject Index; Author Index |
| Record Nr. | UNINA-9910456787503321 |
| Amsterdam, : Ios Press, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algebraic aspects of digital communications [[electronic resource] /] / edited by Tanush Shaska and Engjell Hasimaj
| Algebraic aspects of digital communications [[electronic resource] /] / edited by Tanush Shaska and Engjell Hasimaj |
| Pubbl/distr/stampa | Amsterdam, : Ios Press, 2009 |
| Descrizione fisica | 1 online resource (296 p.) |
| Disciplina | 621.38 |
| Altri autori (Persone) |
ShaskaTony <1967->
HasimajEngjell |
| Collana | NATO science for peace and security series. Sub-series D, Information and communication security |
| Soggetto topico |
Digital communications - Mathematics
Mathematics |
| ISBN |
6612298154
1-282-29815-1 9786612298158 1-60750-439-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Title page; Preface; Contents; Additive Codes over F4 with Automorphisms; Self-dual codes and invariant theory; Vector Bundles in Error-Correctingfor Geometric Goppa Codes; Combinatorial Designs and CodeSynchronization; Real and imaginary hyperelliptic curvecryptography - Aspects of curvecryptography; Divisibility, Smoothness andCryptographic Applications; A variant of the Reidemeister-Schreieralgorithm for the fundamental groups ofRiemann surfaces; Theta functions and algebraic curves withautomorphisms; Enumerative Geometry and String Theory
On the Cryptographical Propertiesof Extremal Algebraic GraphsSubject Index; Author Index |
| Record Nr. | UNINA-9910780642603321 |
| Amsterdam, : Ios Press, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algebraic curves and their applications / / Lubjana Beshaj, Tony Shaska, editors
| Algebraic curves and their applications / / Lubjana Beshaj, Tony Shaska, editors |
| Autore | Beshaj Lubjana <1986-> |
| Pubbl/distr/stampa | [Place of publication not identified] : , : American Mathematical Society, , [2019] |
| Descrizione fisica | 1 online resource (358 pages) |
| Disciplina | 516.352 |
| Collana | Contemporary mathematics |
| Soggetto topico | Curves, Algebraic |
| ISBN | 1-4704-5153-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910793451503321 |
Beshaj Lubjana <1986->
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| [Place of publication not identified] : , : American Mathematical Society, , [2019] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algebraic curves and their applications / / Lubjana Beshaj, Tony Shaska, editors
| Algebraic curves and their applications / / Lubjana Beshaj, Tony Shaska, editors |
| Autore | Beshaj Lubjana <1986-> |
| Pubbl/distr/stampa | [Place of publication not identified] : , : American Mathematical Society, , [2019] |
| Descrizione fisica | 1 online resource (358 pages) |
| Disciplina | 516.352 |
| Collana | Contemporary mathematics |
| Soggetto topico | Curves, Algebraic |
| ISBN | 1-4704-5153-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910808383703321 |
|
Beshaj Lubjana <1986->
|
||
| [Place of publication not identified] : , : American Mathematical Society, , [2019] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algebraic curves and their applications / / Lubjana Beshaj, Tony Shaska, editors
| Algebraic curves and their applications / / Lubjana Beshaj, Tony Shaska, editors |
| Pubbl/distr/stampa | [Place of publication not identified] : , : American Mathematical Society, , [2019] |
| Descrizione fisica | 1 online resource (358 pages) |
| Disciplina | 516.352 |
| Collana | Contemporary mathematics |
| Soggetto topico | Curves, Algebraic |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-5153-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910479993803321 |
| [Place of publication not identified] : , : American Mathematical Society, , [2019] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
