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X25519
X25519

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!!! Overview
[{$pagename}] is a mathematical function that performs scalar multiplication on the Montgomery form of the [Curve25519] and is defined in [RFC 7748]Daniel J. Bernstein proposed:
* [{$pagename}] be the name of the [Diffie-Hellman] [Key-Exchange] [protocol]
* [Curve25519] be the name of the [Elliptic Curve]
25519 indicates that the characteristic of the bottom prime number field on which the [Elliptic Curve] depends is 2²⁵⁵-19.
Based on [Curve25519], Bernstein constructed the [Diffie-Hellman] [Key-Exchange] [protocol] [{$pagename}].
Compared with the [ECDH] [Key-Exchange] [protocol], the most notable feature of the [{$pagename}] protocol is that it only depends on the x coordinate of the point on the [Elliptic Curve]. The idea of constructing an ECDH key exchange protocol using only x coordinates originally came from the paper published by Victor Millier in [1985|year 1985], "Use of Elliptic Curves in Cryptography".!! More Information
There might be more information for this subject on one of the following:
[{ReferringPagesPlugin before='*' after='\n' }]
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* [#1] - [Curve25519|Wikipedia:Curve25519|target='_blank'] - based on information obtained 2017-06-17-
* [#2] - [A Deep Dive into X25519|https://medium.com/@CoinExChain/a-deep-dive-into-x25519-7a926e8a91c7|target='_blank'] - based on information obtained 2020-02-20
* [#3] - [SECURE COMMUNICATION
USING AUTHENTICATED CHANNELS|http://secu.famillepasini.ch/files/2009/phd/pasini_phd_thesis.pdf|target='_blank'] - based on information obtained 2020-02-20
* [#4] - [Use of Elliptic Curves in Cryptography|https://www.researchgate.net/publication/221355411_Use_of_Elliptic_Curves_in_Cryptography|target='_blank'] - based on information obtained 2020-02-20
This page (revision-1) was last changed on 29-Nov-2024 16:16 by UnknownAuthorTop