Key Exchange: Difference between revisions

From Algorithm Wiki
Jump to navigation Jump to search
(Created page with "{{DISPLAYTITLE:Key Exchange (Key Exchange)}} == 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 == <pre>n: maximum size of numbers (prime, parameters, keys), in bits</pre> == Table of Algorithms == {| class="wikitable sortable" style="text-align:center;" width="100%" ! Name !! Year !! Time !! Space !! Approxima...")
 
No edit summary
 
(5 intermediate revisions by the same user not shown)
Line 6: Line 6:
== Parameters ==  
== Parameters ==  


<pre>n: maximum size of numbers (prime, parameters, keys), in bits</pre>
$n$: maximum size of numbers (prime, parameters, keys), in bits


== Table of Algorithms ==  
== Table of Algorithms ==  
Line 22: Line 22:
|}
|}


== Time Complexity graph ==  
== Time Complexity Graph ==  


[[File:Key Exchange - Time.png|1000px]]
[[File:Key Exchange - Time.png|1000px]]
== Space Complexity graph ==
[[File:Key Exchange - Space.png|1000px]]
== Pareto Decades graph ==
[[File:Key Exchange - Pareto Frontier.png|1000px]]

Latest revision as of 09:07, 28 April 2023

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