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Titlebook: An Introduction to Mathematical Cryptography; Jeffrey Hoffstein,Jill Pipher,Joseph H. Silverman Textbook 2014Latest edition Springer Scien

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发表于 2025-3-21 18:20:45 | 显示全部楼层 |阅读模式
期刊全称An Introduction to Mathematical Cryptography
影响因子2023Jeffrey Hoffstein,Jill Pipher,Joseph H. Silverman
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发行地址New edition extensively revised and updated.Includes new material on lattice-based signatures, rejection sampling, digital cash, and homomorphic encryption.Presents a detailed introduction to elliptic
学科分类Undergraduate Texts in Mathematics
图书封面Titlebook: An Introduction to Mathematical Cryptography;  Jeffrey Hoffstein,Jill Pipher,Joseph H. Silverman Textbook 2014Latest edition Springer Scien
影响因子.This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics while developing the mathematical tools needed for the construction and security analysis of diverse cryptosystems. Only basic linear algebra is required of the reader; techniques from algebra, number theory, and probability are introduced and developed as required. This text provides an ideal introduction for mathematics and computer science students to the mathematical foundations of modern cryptography. The book includes an extensive bibliography and index; supplementary materials are available online..The book covers a variety of topics that are considered central to mathematical cryptography. Key topics include:.classical cryptographic constructions, such as Diffie.–.Hellmann key exchange, discrete logarithm-based cryptosystems, the RSA cryptosystem, anddigital signatures;.fundamental mathematical tools for cryptography, including primality testing, factorization algorithms, probability theory, information theory, and collision algorithms;.an in-depth treatment of important cryptogr
Pindex Textbook 2014Latest edition
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发表于 2025-3-21 20:27:56 | 显示全部楼层
Seltene Eingriffe in der Urologiee had independently isolated one of the fundamental problems and invented a public key construction for an undergraduate project in a computer science class at Berkeley, but this was little understood at the time. Merkle’s work “Secure communication over insecure channels” appeared in 1982 [83].
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Das urologische Zusammenhangsgutachten are no known quantum algorithms to rapidly solve hard lattice problems; see Sect. 8.11. Further, we will see that the theory of lattices has applications in cryptography beyond simply providing a new source of hard problems.
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An Introduction to Mathematical Cryptography978-1-4939-1711-2Series ISSN 0172-6056 Series E-ISSN 2197-5604
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https://doi.org/10.1007/978-3-642-39940-4 analogous to the purpose of a pen-and-ink signature on a physical document. It is thus interesting that the tools used to construct digital signatures are very similar to the tools used to construct asymmetric ciphers.
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