Titlebook: Cybercryptography: Applicable Cryptography for Cyberspace Security; Song Y. Yan Book 2019 Springer Nature Switzerland AG 2019 Cyberspace a

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Secret-Key Cryptography,. In this chapter we shall first give a formal introduction to secret-key and public-key cryptography, and then discuss the most influential and useful secret-key cryptosystems, from both a historical and a cyberspace perspective.

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Elliptic Curve Cryptography, system based on ECDLP. In this chapter we shall first discuss the Elliptic Curve Discrete Logarithm Problem (ECDLP) and the classical solutions to ECDLP, then we shall present some popular and useful ECDLP based cryptographic systems and protocols. Finally, we shall giver an account of quantum cryptanalysis of ECDLP-based cryptography.

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https://doi.org/10.1007/978-3-658-06243-9Cryptography is intimately connected to mathematics, in fact, the construction and the security of many cryptographic schemes and protocols depend heavily on some deep ideas and sophisticated techniques in mathematics, particularly in the theory of numbers.

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Mathematical Preliminaries,Cryptography is intimately connected to mathematics, in fact, the construction and the security of many cryptographic schemes and protocols depend heavily on some deep ideas and sophisticated techniques in mathematics, particularly in the theory of numbers.

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