Restrictions of Integer Parameters for Generating Attractive BLS Subfamilies of Pairing-Friendly Elliptic Curves with Specific Embedding Degrees
Author:
Affiliation:
1. Okayama University
2. Future University Hakodate
Publisher
IJNC Editorial Committee
Link
https://www.jstage.jst.go.jp/article/ijnc/11/2/11_383/_pdf
Reference39 articles.
1. [1] Razvan Barbulescu and Sylvain Duquesne. Updating key size estimations for pairings. Journal of cryptology, 32(4):1298–1336, 2019.
2. [2] Razvan Barbulescu, Nadia El Mrabet, and Loubna Ghammam. A taxonomy of pairings, their security, their complexity. Cryptology ePrint archive, report 2019/485, 2019. https://eprint.iacr.org/2019/485.
3. [3] Paulo SLM Barreto, Ben Lynn, and Michael Scott. Constructing elliptic curves with prescribed embedding degrees. In International conference on security in communication networks, pages 257–267. Springer, 2002.
4. [4] Paulo SLM Barreto and Michael Naehrig. Pairing-friendly elliptic curves of prime order. In International workshop on selected areas in cryptography, pages 319–331. Springer, 2005.
5. [5] Naomi Benger and Michael Scott. Constructing tower extensions of finite fields for implementation of pairing-based cryptography. In International workshop on the arithmetic of finite fields, pages 180–195. Springer, 2010.
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