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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.1446Two-sources randomness extractors in finite fields and in elliptic curvesArticle
- 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 [UCAD]
- 4 Université Cheikh Anta Diop de Dakar [Sénégal] [UCAD]
- 5 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.
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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