Contemporary Developments in Finite Fields and Applications

Contemporary Developments in Finite Fields and Applications

The volume is a collection of 20 refereed articles written in connection with lectures presented at the 12th International Conference on Finite Fields and Their Applications ("Fq12") at Skidmore College in Saratoga Springs, NY in July 2015. Finite fields are central to modern cryptography and secure digital communication, and hence must evolve rapidly to keep pace with new technologies. Topics in this volume include cryptography, coding theory, structure of finite fields, algorithms, curves over finite fields, and further applications. Contributors will include: Antoine Joux (Fondation Partenariale de l'UPMC, France); Gary Mullen (Penn State University, USA); Gohar Kyureghyan (Otto-von-Guericke Universität, Germany); Gary McGuire (University College Dublin, Ireland); Michel Lavrauw (Università degli Studi di Padova, Italy); Kirsten Eisentraeger (Penn State University, USA); Renate Scheidler (University of Calgary, Canada); Michael Zieve (University of Michigan, USA). Contents:Divisibility of L-Polynomials for a Family of Curves (I Blanco-Chacón, R Chapman, S Fordham and G McGuire)Divisibility of Exponential Sums Associated to Binomials Over 𝔽p (F Castro, R Figueroa, P Guan and J Ortiz-Ubarri)Dickson Polynomials that are Involutions (P Charpin, S Mesnager and S Sarkar)Constructing Elliptic Curves and Curves of Genus 2 over Finite Fields (K Eisenträger)A Family of Plane Curves with Two or More Galois Points in Positive Characteristic (S Fukasawa)Permutation Polynomials of 𝔽q2 of the Form αX + Xr(q-1)+1 (X-D Hou)Character Sums and Generating Sets (M-D A Huang and L Liu)Nearly Sparse Linear Algebra and Application to Discrete Logarithms Computations (A Joux and C Pierrot)Full Degree Two del Pezzo Surfaces over Small Finite Fields (A Knecht and K Reyes)Diameter of Some Monomial Digraphs (A Kodess, F Lazebnik, S Smith and J Sporre)Permutation Polynomials of the Form X + γTr(Xk) (G Kyureghyan and M Zieve)Scattered Spaces in Galois Geometry (M Lavrauw)On the Value Set of Small Families of Polynomials over a Finite Field, III (G Matera, M Pérez and Melina Privitelli)The Density of Unimodular Matrices over Integrally Closed Subrings of Function Fields (G Micheli and R Schnyder)Some Open Problems Arising from My Recent Finite Field Research (G L Mullen)On Coefficients of Powers of Polynomials and Their Compositions over Finite Fields (G L Mullen, A Muratović-Ribić and Q Wang)On the Structure of Certain Reduced Linear Modular Systems (E Orozco)Finding a Gröbner Basis for the Ideal of Recurrence Relations on m-Dimensional Periodic Arrays (I M Rubio, M Sweedler and C Heegard)An Introduction to Hyperelliptic Curve Arithmetic (R Scheidler)On the Existence of Aperiodic Complementary Hexagonal Lattice Arrays (Y Tan and G Gong) Readership: Researchers in combinatorics and graph theory, numerical analysis and computational mathematics, and coding theory.


Author
Publisher World Scientific
Release Date
ISBN 9814719277
Pages 372 pages
Contemporary Developments in Finite Fields and Applications
Language: en
Pages: 372
Authors: Anne Canteaut
Categories: Mathematics
Type: BOOK - Published: 2016-06-15 - Publisher: World Scientific

The volume is a collection of 20 refereed articles written in connection with lectures presented at the 12th International Conference on Finite Fields and Their
Contemporary Developments in Finite Fields and Applications
Language: en
Pages: 362
Authors: Anne Canteaut
Categories: Mathematics
Type: BOOK - Published: 2016 - Publisher: World Scientific Publishing Company

A collection of 20 refereed articles presented at the 12th International Conference on Finite Fields and Their Applications, at Saratoga Springs, New York, July
Combinatorics and Finite Fields
Language: en
Pages: 354
Authors: Kai-Uwe Schmidt
Categories: Mathematics
Type: BOOK - Published: 2019-07-08 - Publisher: Walter de Gruyter GmbH & Co KG

Combinatorics and finite fields are of great importance in modern applications such as in the analysis of algorithms, in information and communication theory, a
Arithmetic of Finite Fields
Language: en
Pages: 273
Authors: Jean Claude Bajard
Categories: Computers
Type: BOOK - Published: 2021-02-16 - Publisher: Springer Nature

This book constitutes the thoroughly refereed post-workshop proceedings of the 8th International Workshop on the Arithmetic of Finite Field, WAIFI 2020, held in
Applications of Finite Fields
Language: en
Pages: 242
Authors: Alfred J. Menezes
Categories: Computers
Type: BOOK - Published: 1993 - Publisher: Springer Science & Business Media

The theory of finite fields, whose origins can be traced back to the works of Gauss and Galois, has played a part in various branches of mathematics, in recent
Advances in Cryptology – ASIACRYPT 2021
Language: en
Pages: 699
Authors: Mehdi Tibouchi
Categories: Computers
Type: BOOK - Published: 2022-01-01 - Publisher: Springer Nature

The four-volume proceedings LNCS 13090, 13091, 13092, and 13093 constitutes the proceedings of the 27th International Conference on the Theory and Application o
Surveys in Combinatorics 2021
Language: en
Pages: 379
Authors: Konrad K. Dabrowski
Categories: Mathematics
Type: BOOK - Published: 2021-06-24 - Publisher: Cambridge University Press

These nine articles provide up-to-date surveys of topics of contemporary interest in combinatorics.
Applications of Finite Fields
Language: en
Pages: 218
Authors: Alfred J. Menezes
Categories: Technology & Engineering
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media

The theory of finite fields, whose origins can be traced back to the works of Gauss and Galois, has played a part in various branches in mathematics. Inrecent y
Progress in Cryptology – INDOCRYPT 2019
Language: en
Pages: 580
Authors: Feng Hao
Categories: Computers
Type: BOOK - Published: 2019-12-09 - Publisher: Springer Nature

This book constitutes the refereed proceedings of the 20th International Conference on Cryptology in India, INDOCRYPT 2019, held in Hyderabad, India, in Decembe
Mathematical Principles of the Internet, Two Volume Set
Language: en
Pages: 1768
Authors: Nirdosh Bhatnagar
Categories: Computers
Type: BOOK - Published: 2019-03-18 - Publisher: CRC Press

This two-volume set on Mathematical Principles of the Internet provides a comprehensive overview of the mathematical principles of Internet engineering. The boo