Title | ||
---|---|---|
Encapsulated scalar multiplications and line functions in the computation of Tate pairing |
Abstract | ||
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The efficient computation of the Tate pairing is a crucial factor to realize cryptographic applications practically. To compute the Tate pairing, two kinds of costs on the scalar multiplications and Miller's line functions of elliptic curves should be considered. In the present paper, encapsulated scalar multiplications and line functions are discussed. Some simplified formulas and improved algorithms to compute f3T, f4T, f2T±P, f6T, f3T±P and f4T±P etc., are presented from given points T and P on the elliptic curve. |
Year | DOI | Venue |
---|---|---|
2007 | null | TAMC |
Keywords | Field | DocType |
elliptic curve,scalar multiplication | Discrete mathematics,Scalar multiplication,Algebra,Cryptography,Scalar (physics),Tate pairing,Pairing,Elliptic curve point multiplication,Elliptic curve,Mathematics,Computation | Conference |
Volume | Issue | ISSN |
4484 LNCS | null | 0302-9743 |
Citations | PageRank | References |
0 | 0.34 | 13 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Rongquan Feng | 1 | 117 | 25.64 |
Hongfeng Wu | 2 | 6 | 5.53 |