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The Diffie–Hellman Key Exchange and the Discrete Logarithm Problem

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Cryptography

Part of the book series: Springer Undergraduate Mathematics Series ((SUMS))

Abstract

The goal of the Diffie–Hellman key exchange, described in  Diffie and Hellman (IEEE Trans Inf Theor 22(6):644–654, 1976, [DH76]), is to create a key for Alice and Bob by sending shared information back and forth a few times. The key is created from several pieces, some of which are public information, and some of which only Alice knows or only Bob knows. The point is that knowing all the public pieces and at least one of the private pieces makes it easy to construct the key, but without knowing any of the private pieces, working out the key is extremely difficult (but possible in some sense). Here is how it works.

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Correspondence to Simon Rubinstein-Salzedo .

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Rubinstein-Salzedo, S. (2018). The Diffie–Hellman Key Exchange and the Discrete Logarithm Problem. In: Cryptography. Springer Undergraduate Mathematics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-94818-8_11

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