2020 Algebraic and Combinatorial Coding Theory (ACCT)

2020 Algebraic and Combinatorial Coding Theory (ACCT)

Author: IEEE Staff

Publisher:

Published: 2020-10-11

Total Pages:

ISBN-13: 9781665402880

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ACCT covers a wide area of algebraic, geometric and combinatotial aspects of coding theory The main goals are reinforcement of cooperation between various scientific schools, exchange of ideas and experience, a possibility for the participants to get awareness of the latest developments in the field


Computer Algebra in Scientific Computing

Computer Algebra in Scientific Computing

Author: François Boulier

Publisher: Springer Nature

Published: 2021-08-16

Total Pages: 485

ISBN-13: 3030851656

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This book constitutes the proceedings of the 23rd International Workshop on Computer Algebra in Scientific Computing, CASC 2021, held in Sochi, Russia, in September 2021. The 24 full papers presented together with 1 invited talk were carefully reviewed and selected from 40 submissions. The papers cover theoretical computer algebra and its applications in scientific computing.


Code-Based Cryptography

Code-Based Cryptography

Author: Andre Esser

Publisher: Springer Nature

Published: 2023-10-27

Total Pages: 183

ISBN-13: 3031464958

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This book constitutes the refereed proceedings of the 11th International Conference on Code-Based Cryptography, CBCrypto 2023, held in Lyon, France, during April 22–23, 2023. The 8 full papers included in this book were carefully reviewed and selected from 28 submissions. The conference offers a wide range of many important aspects of code-based cryptography such as cryptanalysis of existing schemes, the proposal of new cryptographic systems and protocols as well as improved decoding algorithms.


A Course in Algebraic Error-Correcting Codes

A Course in Algebraic Error-Correcting Codes

Author: Simeon Ball

Publisher: Springer Nature

Published: 2020-05-08

Total Pages: 185

ISBN-13: 3030411532

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This textbook provides a rigorous mathematical perspective on error-correcting codes, starting with the basics and progressing through to the state-of-the-art. Algebraic, combinatorial, and geometric approaches to coding theory are adopted with the aim of highlighting how coding can have an important real-world impact. Because it carefully balances both theory and applications, this book will be an indispensable resource for readers seeking a timely treatment of error-correcting codes. Early chapters cover fundamental concepts, introducing Shannon’s theorem, asymptotically good codes and linear codes. The book then goes on to cover other types of codes including chapters on cyclic codes, maximum distance separable codes, LDPC codes, p-adic codes, amongst others. Those undertaking independent study will appreciate the helpful exercises with selected solutions. A Course in Algebraic Error-Correcting Codes suits an interdisciplinary audience at the Masters level, including students of mathematics, engineering, physics, and computer science. Advanced undergraduates will find this a useful resource as well. An understanding of linear algebra is assumed.


Combinatorics and Finite Geometry

Combinatorics and Finite Geometry

Author: Steven T. Dougherty

Publisher: Springer Nature

Published: 2020-10-30

Total Pages: 374

ISBN-13: 3030563952

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This undergraduate textbook is suitable for introductory classes in combinatorics and related topics. The book covers a wide range of both pure and applied combinatorics, beginning with the very basics of enumeration and then going on to Latin squares, graphs and designs. The latter topic is closely related to finite geometry, which is developed in parallel. Applications to probability theory, algebra, coding theory, cryptology and combinatorial game theory comprise the later chapters. Throughout the book, examples and exercises illustrate the material, and the interrelations between the various topics is emphasized. Readers looking to take first steps toward the study of combinatorics, finite geometry, design theory, coding theory, or cryptology will find this book valuable. Essentially self-contained, there are very few prerequisites aside from some mathematical maturity, and the little algebra required is covered in the text. The book is also a valuable resource for anyone interested in discrete mathematics as it ties together a wide variety of topics.


Combinatorial Mathematics

Combinatorial Mathematics

Author: Douglas B. West

Publisher: Cambridge University Press

Published: 2021

Total Pages: 990

ISBN-13: 1107058589

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This is the most readable and thorough graduate textbook and reference for combinatorics, covering enumeration, graphs, sets, and methods.


Large-Scale Scientific Computing

Large-Scale Scientific Computing

Author: Ivan Lirkov

Publisher: Springer Nature

Published: 2020-02-13

Total Pages: 636

ISBN-13: 3030410323

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This book constitutes revised papers from the 12th International Conference on Large-Scale Scientific Computing, LSSC 2019, held in Sozopol, Bulgaria, in June 2019. The 70 papers presented in this volume were carefully reviewed and selected from 81 submissions. The book also contains two invited talks. The papers were organized in topical sections named as follows: control and optimization of dynamical systems; meshfree and particle methods; fractional diffusion problems: numerical methods, algorithms and applications; pore scale flow and transport simulation; tensors based algorithms and structures in optimization and applications; HPC and big data: algorithms and applications; large-scale models: numerical methods, parallel computations and applications; monte carlo algorithms: innovative applications in conjunctions with other methods; application of metaheuristics to large-scale problems; large scale machine learning: multiscale algorithms and performance guarantees; and contributed papers.


Code Based Secret Sharing Schemes: Applied Combinatorial Coding Theory

Code Based Secret Sharing Schemes: Applied Combinatorial Coding Theory

Author: Patrick Sole

Publisher: World Scientific

Published: 2022-04-11

Total Pages: 215

ISBN-13: 9811248346

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Secret sharing schemes form one of the most important topic in Cryptography. These protocols are used in many areas, applied mathematics, computer science, electrical engineering. A secret is divided into several pieces called shares. Each share is given to a user of the system. Each user has no information about the secret, but the secret can be retrieved by certain authorized coalition of users.This book is devoted to such schemes inspired by Coding Theory. The classical schemes of Shamir, Blakley, Massey are recalled. Survey is made of research in Combinatorial Coding Theory they triggered, mostly self-dual codes, and minimal codes. Applications to engineering like image processing, and key management of MANETs are highlighted.


Selected Topics In Information And Coding Theory

Selected Topics In Information And Coding Theory

Author: Isaac Woungang

Publisher: World Scientific

Published: 2010-02-26

Total Pages: 725

ISBN-13: 981446919X

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The last few years have witnessed rapid advancements in information and coding theory research and applications. This book provides a comprehensive guide to selected topics, both ongoing and emerging, in information and coding theory. Consisting of contributions from well-known and high-profile researchers in their respective specialties, topics that are covered include source coding; channel capacity; linear complexity; code construction, existence and analysis; bounds on codes and designs; space-time coding; LDPC codes; and codes and cryptography.All of the chapters are integrated in a manner that renders the book as a supplementary reference volume or textbook for use in both undergraduate and graduate courses on information and coding theory. As such, it will be a valuable text for students at both undergraduate and graduate levels as well as instructors, researchers, engineers, and practitioners in these fields.Supporting Powerpoint Slides are available upon request for all instructors who adopt this book as a course text.