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Titlebook: Algebra for Applications; Cryptography, Secret Arkadii Slinko Textbook 2020Latest edition Springer Nature Switzerland AG 2020 public key cr

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发表于 2025-3-21 19:10:04 | 显示全部楼层 |阅读模式
期刊全称Algebra for Applications
期刊简称Cryptography, Secret
影响因子2023Arkadii Slinko
视频video
发行地址Suitable for an undergraduate applied algebra course.Covers a wide range of applications of algebra and number theory to information handling, such as encryption and error-correcting codes.Uses the fr
学科分类Springer Undergraduate Mathematics Series
图书封面Titlebook: Algebra for Applications; Cryptography, Secret Arkadii Slinko Textbook 2020Latest edition Springer Nature Switzerland AG 2020 public key cr
影响因子Modern societies are awash with data that needs to be manipulated in many different ways: encrypted, compressed, shared between users in a prescribed manner, protected from unauthorised access, and transmitted over unreliable channels. All of these operations are based on algebra and number theory and can only be properly understood with a good knowledge of these fields. This textbook provides the mathematical tools and applies them to study key aspects of data transmission such as encryption and compression..Designed for an undergraduate lecture course, this textbook provides all of the background in arithmetic, polynomials, groups, fields, and elliptic curves that is required to understand real-life applications such as cryptography, secret sharing, error-correcting, fingerprinting, and compression of information. It explains in detail how these applications really work. The book uses the free GAP computational package, allowing the reader to develop intuition about computationallyhard problems and giving insights into how computational complexity can be used to protect the integrity of data..The first undergraduate textbook to cover such a wide range of applications, including s
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发表于 2025-3-21 22:38:41 | 显示全部楼层
https://doi.org/10.1007/978-3-322-92635-7eded for the discussion of the complexity of algorithms for finding the prime factorisation of an integer. We introduce the number-theoretic section of GAP computational package. The theory is supplemented with a number of exercises.
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Integers,eded for the discussion of the complexity of algorithms for finding the prime factorisation of an integer. We introduce the number-theoretic section of GAP computational package. The theory is supplemented with a number of exercises.
发表于 2025-3-22 14:39:30 | 显示全部楼层
Secret Sharing, reconstructed by any authorised subset of users, but an unauthorised subset of users can extract absolutely no information about .. A secret sharing scheme, for example, can secure a secret over multiple servers and remain recoverable despite multiple server failures.
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Error-Correcting Codes,g codes. Then we consider polynomial codes and BCH codes. We introduce non-binary codes and, most importantly, Reed–Solomon codes. In the last section we use non-binary codes to construct fingerprinting codes that give protection to intellectual property rights holders against colluding malicious users.
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