Key Exchange (Key Exchange)

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Description

Key exchange (also key establishment) is a method in cryptography by which cryptographic keys are exchanged between two parties, allowing use of a cryptographic algorithm.

Parameters

n: maximum size of numbers (prime, parameters, keys), in bits

Table of Algorithms

Name Year Time Space Approximation Factor Model Reference
Diffie–Hellman key exchange 1978 $O(mult(n)$*n) where mult(n) is running time on n-bit multiplication $O(n)$ Exact Deterministic Time
Elliptic-curve Diffie-Hellman (ECDH) 2006 $O(mult(n)$*n^{2})? where mult(n) is running time on n-bit multiplication $O(n)$ Exact Deterministic Time

Time Complexity Graph

Key Exchange - Time.png

Space Complexity Graph

Key Exchange - Space.png

Space-Time Tradeoff Improvements

Key Exchange - Pareto Frontier.png