Lectures On Finite Fields And Galois Rings

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Lectures On Finite Fields And Galois Rings

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Author : Zhe-Xian Wan
language : en
Publisher: World Scientific
Release Date : 2003

Lectures On Finite Fields And Galois Rings written by Zhe-Xian Wan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.

This is a textbook for graduate and upper level undergraduate students in mathematics, computer science, communication engineering and other fields. The explicit construction of finite fields and the computation in finite fields are emphasised. In particular, the construction of irreducible polynomials and the normal basis of finite fields are included. The essentials of Galois rings are also presented. This invaluable book has been written in a friendly style, so that lecturers can easily use it as a text and students can use it for self-study. A great number of exercises have been incorporated.

Lectures On Finite Fields And Galois Rings

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Author : Zhe-xian Wan
language : en
Publisher: World Scientific Publishing Company
Release Date : 2003-08-12

Lectures On Finite Fields And Galois Rings written by Zhe-xian Wan and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-08-12 with Mathematics categories.

This is a textbook for graduate and upper level undergraduate students in mathematics, computer science, communication engineering and other fields. The explicit construction of finite fields and the computation in finite fields are emphasised. In particular, the construction of irreducible polynomials and the normal basis of finite fields are included. The essentials of Galois rings are also presented. This invaluable book has been written in a friendly style, so that lecturers can easily use it as a text and students can use it for self-study. A great number of exercises have been incorporated.

Finite Fields And Galois Rings

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Author : Zhe-xian Wan
language : en
Publisher: World Scientific Publishing Company
Release Date : 2011-09-13

Finite Fields And Galois Rings written by Zhe-xian Wan and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-13 with Mathematics categories.

A large portion of the book can be used as a textbook for graduate and upper level undergraduate students in mathematics, communication engineering, computer science and other fields. The remaining part can be used as references for specialists. Explicit construction and computation of finite fields are emphasized. In particular, the construction of irreducible polynomials and normal basis of finite field is included. A detailed treatment of optimal normal basis and Galoi's rings is included. It is the first time that the galois rings are in book form.

Fields And Rings

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Author : Irving Kaplansky
language : en
Publisher: University of Chicago Press
Release Date : 1972

Fields And Rings written by Irving Kaplansky and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Mathematics categories.

This book combines in one volume Irving Kaplansky's lecture notes on the theory of fields, ring theory, and homological dimensions of rings and modules. "In all three parts of this book the author lives up to his reputation as a first-rate mathematical stylist. Throughout the work the clarity and precision of the presentation is not only a source of constant pleasure but will enable the neophyte to master the material here presented with dispatch and ease."—A. Rosenberg, Mathematical Reviews

Advances In Cryptology Crypto 2022

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Author : Yevgeniy Dodis
language : en
Publisher: Springer Nature
Release Date : 2022-10-11

Advances In Cryptology Crypto 2022 written by Yevgeniy Dodis and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-11 with Computers categories.

The 4-volume sets LNCS 13507, 13508, 13509, 13510 constitutes the refereed proceedings of the 42nd Annual International Cryptology Conference, CRYPTO 2022, which was held in Santa Barbara, CA, USA, in August 2022. The total of 100 papers included in the proceedings was reviewed and selected from 455 submissions. The papers were organized in the following topical sections: Cryptanalysis; randomness; quantum cryptography; advanced encryption systems; secure messaging; lattice-based zero knowledge; lattice-based signatures; blockchain; coding theory; public key cryptography; signatures, idealized models; lower bounds; secure hash functions; post-quantum cryptography; symmetric cryptanalysis; secret sharing and secure multiparty computation; unique topics; symmetric key theory; zero knowledge; and threshold signatures.

Public Key Cryptography Pkc 2025

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Author : Tibor Jager
language : en
Publisher: Springer Nature
Release Date : 2025-05-07

Public Key Cryptography Pkc 2025 written by Tibor Jager and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-07 with Computers categories.

The five-volume set LNCS 15674-15678 constitutes the refereed proceedings of the 28th IACR International Conference on Practice and Theory of Public Key Cryptography, PKC 2025, held in Røros, Norway, during May 12–15, 2025. The 60 papers included in these proceedings were carefully reviewed and selected from 199 submissions. They are grouped into these topical sections: MPC and friends; advanced PKE; security of post-quantum signatures; proofs and arguments; multi-signatures; protocols; foundations of lattices and LPN; threshold signatures; isogenies and group actions; secure computation; security against real-world attacks; batch arguments and decentralized encryption; and cryptography for blockchains.

Advances In Cryptology Asiacrypt 2023

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Author : Jian Guo
language : en
Publisher: Springer Nature
Release Date : 2023-12-17

Advances In Cryptology Asiacrypt 2023 written by Jian Guo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-17 with Computers categories.

The eight-volume set LNCS 14438 until 14445 constitutes the proceedings of the 29th International Conference on the Theory and Application of Cryptology and Information Security, ASIACRYPT 2023, held in Guangzhou, China, during December 4-8, 2023. The total of 106 full papers presented in these proceedings was carefully reviewed and selected from 375 submissions. The papers were organized in topical sections as follows: Part I: Secure Multi-party computation; threshold cryptography; . Part II: proof systems - succinctness and foundations; anonymity; Part III: quantum cryptanalysis; symmetric-key cryptanalysis; Part IV: cryptanalysis of post-quantum and public-key systems; side-channels; quantum random oracle model; Part V: functional encryption, commitments and proofs; secure messaging and broadcast; Part VI: homomorphic encryption; encryption with special functionalities; security proofs and security models; Part VII: post-quantum cryptography; Part VIII: quantum cryptography; key exchange; symmetric-key design.

Computational Mathematics And Numerical Analysis

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Author : Wanyang Dai
language : en
Publisher: Springer Nature
Release Date : 2025-07-01

Computational Mathematics And Numerical Analysis written by Wanyang Dai and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-01 with Mathematics categories.

This book represents the proceedings of the 3rd International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2023), held from November 10th to 12th, 2023 in Nanjing, China, hosted by Nanjing University. This conference proceedings aims to encapsulate the essence of the conference by featuring papers that discuss topics such as Computational Mathematics and Numerical Analysis. It serves as a repository of research presented at CSAMCS 2023, highlighting the importance and relevance of these fields in tackling contemporary challenges.

Data Security And Privacy Protection

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Author : Xiaofeng Chen
language : en
Publisher: Springer Nature
Release Date : 2024-10-17

Data Security And Privacy Protection written by Xiaofeng Chen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-17 with Computers categories.

This book constitutes the proceedings of the 2nd International Conference on Data Security and Privacy Protection, DSPP 2024, held in Xi'an, China, during October 25-28, 2024. The 34 full papers included in this volume were carefully reviewed and selected from a total of 99 submissions. The DSPP 2024 conference promotes and stimulates discussion on the latest theories, algorithms, applications, and emerging topics on data security and privacy protection. It encourages the cross-fertilization of ideas and provides a platform for researchers, professionals, and students worldwide to discuss and present their research results.

Public Key Cryptography Pkc 2021

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Author : Juan A. Garay
language : en
Publisher: Springer Nature
Release Date : 2021-04-30

Public Key Cryptography Pkc 2021 written by Juan A. Garay and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-30 with Computers categories.

The two-volume proceedings set LNCS 12710 and 12711 constitutes the proceedings of the 24th IACR International Conference on Practice and Theory of Public Key Cryptography, PKC 2021, which was held online during May 10-13, 2021. The conference was originally planned to take place in Edinburgh, UK, but had to change to an online format due to the COVID-19 pandemic. The 52 papers included in these proceedings were carefully reviewed and selected from 156 submissions. They focus on all aspects of public-key cryptography, covering theory, implementations and applications. This year, post-quantum cryptography, PQC constructions and cryptanalysis received special attention.