期刊全称 | Algebra for Applications | 期刊简称 | Cryptography, Secret | 影响因子2023 | Arkadii 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 |  | 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 | Pindex | Textbook 2020Latest edition |
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