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• W76404006 abstract "Constructing non-supersingular elliptic curves for pairing-based cryptosystems have attracted much attention in recent years. The best previous technique builds curves with ρ = lg(q) / lg(r) ≈ 1 (k = 12) and ρ = lg(q) / lg(r) ≈ 1.25 (k = 24). When k > 12, most of the previous works address the question by representing r(x) as a cyclotomic polynomial. In this paper, we propose a method to find more pairing-friendly elliptic curves by various forms of irreducible polynomial r(x). In addition, we propose a equation to illustrate how to obtain small values of ρ by choosing appropriate forms of discriminant D and trace t. Numerous parameters of certain pairing-friendly elliptic curves are presented with support for the theoretical conclusions." @default.
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• W76404006 date "2006-02-15" @default.
• W76404006 modified "2023-09-28" @default.
• W76404006 title "Special polynomial families for generating more suitable pairing-friendly elliptic curves" @default.
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