Bilinear Maps Sample Clauses

Bilinear Maps. Let G1 be a cyclic additive group with prime order q and G2 be a cyclic multiplicative group with the same prime order q. The bilinear map is denoted as the mapping e : G1 × G1 → G2, which has the following properties:
Sample 1
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Bilinear Maps. We review the basic notations of the bilinear maps [3, 25] under our proposal. Let (G1, +) and (GT , ∗) be two groups of prime order q > 2k for a security parameter k ∈ N . A function e : G1×G1 −→ GT is said to be a bilinear map if it satisfies the following properties:
Sample 1
Bilinear Maps properties:
Sample 1
Bilinear Maps. × → The bilinear pairings namely Weil pairing and Xxxx paring of algebraic curves are defined as a map e : G0 G0 G1, where G0 is a cyclic additive group generated by g, whose order is a prime p, and G1 is a cyclic multiplicative group of the same order q. Bilinear pairings have the following properties: • ∈ ∈
Sample 1

Related to Bilinear Maps

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