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

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Integer Factorization and RSA,te powers ., but difficult to recover the exponent . if you know only the values of . and .. An essential result that we used to analyze the security of Diffie–Hellman and Elgamal is Fermat’s little theorem (Theorem 1.24),

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Digital Signatures, 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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Elliptic Curves and Cryptography,ryptographic applications. For additional reading, there are a number of survey articles and books devoted to elliptic curve cryptography [14, 68, 81, 135], and many others that describe the number theoretic aspects of the theory of elliptic curves, including [25, 65, 73, 74, 136, 134, 138].

Analogy

Additional Topics in Cryptography,h and in sufficient depth to enable the reader to understand both the underlying mathematical principles and how they are applied in cryptographic constructions. Unfortunately, in achieving this laudable goal, we have now reached the end of a hefty textbook with many important cryptographic topics left untouched.

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Jeffrey Hoffstein,Jill Pipher,Joseph H. SilvermanNew 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

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https://doi.org/10.1007/978-1-4939-1711-2coding theory; digital signatures; discrete logarithms; elliptic curves; information theory; lattices and

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