Multi-sources Randomness Extraction over Finite Fields and Elliptic Curve

This work is based on the proposal of a deterministic randomness extractor of a random Diffie-Hellman element defined over two prime order multiplicative subgroups of a finite fields $\mathbb{F}_{p^n}$, $G_1$ and $G_2$. We show that the least significant bits of a random element in $G_1*G_2$, are in...

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Bibliographic Details
Main Authors Tchapgnouo, Hortense Boudjou, Ciss, Abdoul Aziz
Format Journal Article
LanguageEnglish
Published 02.02.2015
Subjects
Computer Science - Cryptography and Security
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Summary:This work is based on the proposal of a deterministic randomness extractor of a random Diffie-Hellman element defined over two prime order multiplicative subgroups of a finite fields $\mathbb{F}_{p^n}$, $G_1$ and $G_2$. We show that the least significant bits of a random element in $G_1*G_2$, are indistinguishable from a uniform bit-string of the same length. One of the main application of this extractor is to replace the use of hash functions in pairing by the use of a good deterministic randomness extractor.
DOI:10.48550/arxiv.1502.00433