Hortense Boudjou Tchapgnouo ; Abdoul A. Ciss ; Djiby Sow ; D.T. Kolyang - Two-sources randomness extractors in finite fields and in elliptic curves

arima:1446 - Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, June 26, 2017, Volume 24 - 2017 - Special issue CRI 2015 - https://doi.org/10.46298/arima.1446
Two-sources randomness extractors in finite fields and in elliptic curves

Authors: Hortense Boudjou Tchapgnouo 1; Abdoul A. Ciss 2; Djiby Sow 3; D.T. Kolyang 4

  • 1 Institut Supérieur du Sahel
  • 2 Laboratoire Traitement de l’Information et Systèmes Intelligents
  • 3 Laboratoire d'Algèbre, de Cryptologie, de Géométrie Algébrique et Applications
  • 4 École normale supérieure - Maroua

We propose two-sources randomness extractors over finite fields and on elliptic curves that can extract from two sources of information without consideration of other assumptions that the starting algorithmic assumptions with a competitive level of security. These functions have several applications. We propose here a description of a version of a Diffie-Hellman key exchange protocol and key extraction.

https://doi.org/10.46298/arima.1446
Source: HAL:hal-01306642v3
Volume: Volume 24 - 2017 - Special issue CRI 2015
Published on: June 26, 2017
Accepted on: June 12, 2017
Submitted on: June 23, 2017
Keywords: finite fields, random deterministic extractors,Cryptography, key exchange, elliptic curves., courbes elliptiques., corps finis, extracteur d’aléa 2-sources, échange de clé,Cryptographie,[INFO.INFO-CR] Computer Science [cs]/Cryptography and Security [cs.CR],[MATH] Mathematics [math]

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