Concise Encyclopedia of Coding Theory
暫譯: 編碼理論簡明百科全書

Huffman, W. Cary, Kim, Jon-Lark, Solé, Patrick

  • 出版商: CRC
  • 出版日期: 2023-05-31
  • 售價: $3,950
  • 貴賓價: 9.5$3,753
  • 語言: 英文
  • 頁數: 998
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 0367709325
  • ISBN-13: 9780367709327
  • 海外代購書籍(需單獨結帳)

商品描述

Most coding theory experts date the origin of the subject with the 1948 publication of A Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has grown into a discipline with many practical applications (antennas, networks, memories), requiring various mathematical techniques, from commutative algebra, to semi-definite programming, to algebraic geometry.

Most topics covered in the Concise Encyclopedia of Coding Theory are presented in short sections at an introductory level and progress from basic to advanced level, with definitions, examples, and many references.

The book is divided into three parts:

Part I fundamentals: cyclic codes, skew cyclic codes, quasi-cyclic codes, self-dual codes, codes and designs, codes over rings, convolutional codes, performance bounds

Part II families: AG codes, group algebra codes, few-weight codes, Boolean function codes, codes over graphs

Part III applications: alternative metrics, algorithmic techniques, interpolation decoding, pseudo-random sequences, lattices, quantum coding, space-time codes, network coding, distributed storage, secret-sharing, and code-based-cryptography.

Features

  • Suitable for students and researchers in a wide range of mathematical disciplines
  • Contains many examples and references
  • Most topics take the reader to the frontiers of research

商品描述(中文翻譯)

大多數編碼理論專家將該學科的起源追溯到1948年克勞德·香農(Claude Shannon)發表的《通訊的數學理論》(A Mathematical Theory of Communication)。自那時以來,編碼理論已發展成為一個具有許多實際應用(如天線、網絡、記憶體)的學科,並需要各種數學技術,從交換代數(commutative algebra)、半正定規劃(semi-definite programming)到代數幾何(algebraic geometry)。

《編碼理論簡明百科全書》(Concise Encyclopedia of Coding Theory)中涵蓋的大多數主題以簡短的部分呈現,屬於入門級別,並從基礎進展到高級,包含定義、範例和許多參考文獻。

本書分為三個部分:

第一部分 基礎:循環碼(cyclic codes)、斜循環碼(skew cyclic codes)、準循環碼(quasi-cyclic codes)、自對偶碼(self-dual codes)、碼與設計(codes and designs)、環上的碼(codes over rings)、卷積碼(convolutional codes)、性能界限(performance bounds)

第二部分 家族:AG碼(AG codes)、群代數碼(group algebra codes)、少重碼(few-weight codes)、布林函數碼(Boolean function codes)、圖上的碼(codes over graphs)

第三部分 應用:替代度量(alternative metrics)、算法技術(algorithmic techniques)、插值解碼(interpolation decoding)、偽隨機序列(pseudo-random sequences)、格(lattices)、量子編碼(quantum coding)、時空碼(space-time codes)、網絡編碼(network coding)、分散存儲(distributed storage)、秘密分享(secret-sharing)和基於碼的密碼學(code-based cryptography)。

特點
- 適合各種數學學科的學生和研究人員
- 包含許多範例和參考文獻
- 大多數主題將讀者帶到研究的前沿

作者簡介

W. Cary Huffman (1948-) received his PhD in mathematics from the California Institute of Technology in 1974. He taught at Dartmouth College (1974 - 1976) as a John Wesley Young Research Instructor and then at Union College (1976 - 1978). In 1978, he joined the Department of Mathematics and Statistics at Loyola University Chicago, continuing there until his retirement in 2018; he is now professor emeritus. He served as that department's chair from 1986 to 1992. He is co-editor of the Handbook of Coding Theory and co-author of Fundamentals of Error-Correcting Codes, both with Vera Pless. In addition, he has published numerous papers in finite group theory, combinatorics, and algebraic coding theory.

Jon-Lark Kim received his Ph.D. in 2002 from Department of Math of the University of Illinois at Chicago. He was an Associate Professor at the University of Louisville until 2012. He is currently professor at Math Department of Sogang University in Seoul. He has authored more than fifty research papers and one book on Coding Theory. He is the recipient of the 2004 Kirkman medal from the Institute of Combinatorics and its Applications. His research interests include Coding Theory, Cryptography, Combinatorics, Bioinformatics, and Artificial Intelligence.

Patrick Solé (1960-) received the Ingénieur and the Docteur Ingénieur degrees from Ecole Nationale Supérieure des Télécommunications, Paris, France in 1984 and 1987, respectively, and the Habilitation à Diriger des Recherches degree from University of Nice Sophia-Antipolis, France, in 1993.

He has held several visiting positions at Syracuse University, Syracuse, NY, in 1987 - 1989, Macquarie University, Sydney, Australia, in 1994 - 1996, and at University des Sciences et Techniques de Lille, Lille, France, in 1999 - 2000. He has been a permanent member of Centre National de la Recherche Scientifique since 1989 and was later promoted to the rank of Senior Researcher (Directeur de Recherche) in 1996.

His research interests include coding theory (covering radius, codes over rings, geometric codes, quantum codes), interconnection networks (graph spectra, expanders), space time codes (lattices, theta series), and cryptography (Boolean functions, secret sharing schemes).

He is the author of more than 200 journal papers, and of four books.

作者簡介(中文翻譯)

W. Cary Huffman(1948-)於1974年在加州理工學院獲得數學博士學位。他曾在達特茅斯學院(1974 - 1976)擔任約翰·韋斯利·楊研究講師,隨後在聯合學院(1976 - 1978)任教。1978年,他加入芝加哥洛約拉大學的數學與統計系,並一直工作到2018年退休;目前為名譽教授。他於1986年至1992年擔任該系主任。他是編碼理論手冊的共同編輯,並與維拉·普萊斯(Vera Pless)共同撰寫了錯誤更正碼的基本原理。此外,他在有限群理論、組合學和代數編碼理論方面發表了多篇論文。

Jon-Lark Kim於2002年在伊利諾伊大學芝加哥分校的數學系獲得博士學位。他曾在路易斯維爾大學擔任副教授,直到2012年。目前他是首爾西江大學數學系的教授。他已發表超過五十篇研究論文和一本有關編碼理論的書籍。他是2004年由組合學及其應用研究所頒發的柯克曼獎章得主。他的研究興趣包括編碼理論、密碼學、組合學、生物資訊學和人工智慧。

Patrick Solé(1960-)於1984年和1987年分別在法國巴黎的國立高等電信學校獲得工程師和博士工程師學位,並於1993年在法國尼斯索非亞-安提波利斯大學獲得研究指導資格(Habilitation à Diriger des Recherches)學位。

他曾在1987年至1989年於紐約州雪城大學、1994年至1996年於澳大利亞悉尼的麥考瑞大學,以及1999年至2000年於法國里爾的里爾科學技術大學擔任多個訪問職位。自1989年以來,他一直是法國國家科學研究中心的永久成員,並於1996年晉升為高級研究員(Directeur de Recherche)。

他的研究興趣包括編碼理論(覆蓋半徑、環上的碼、幾何碼、量子碼)、互連網路(圖譜、擴展器)、時空碼(格子、θ級數)和密碼學(布爾函數、秘密分享方案)。

他已發表超過200篇期刊論文,並著有四本書籍。