Such is the case of elliptic curve groups whose embedding degree is large enough to maintain a good security level, but small enough for arithmetic operations ...

Mar 14, 2003 · In this paper, we examine criteria for curves with larger k that generalize prior work by Miyaji et al. based on the properties of cyclotomic ...

We present a general framework for constructing families of elliptic curves of prime order with prescribed embedding degree. We demonstrate this method by ...

Let E be an elliptic curve defined over a finite field Fq. For any integer r the Weil pairing er is a bilinear map sending pairs of points with order r to ...

Apr 18, 2024 · ... Constructing Pairing-Friendly Elliptic Curves with Embedding Degree 10 by David Freeman, embedding degree refers to the first two quantities.

In this paper, we examine criteria for curves with larger k that generalize prior work by Miyaji et al. based on the properties of cyclotomic polynomials, and ...

Criteria for curves with larger k that generalize prior work by Miyaji et al. based on the properties of cyclotomic polynomials are examined, and efficient ...

We present a general framework for constructing families of elliptic curves of prime order with prescribed embedding degree.

Jan 20, 2006 · Abstract: We present a general framework for constructing families of elliptic curves of prime order with prescribed embedding degree.

We present a general framework for constructing families of elliptic curves of prime order with prescribed embedding degree. We demonstrate this method by ...