Abdulwahed M. Ismail

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Elliptic curves (EC) scalar multiplication over some finite fields, is an attractive research area, and it has been paid much attention by researchers in the recent years. Researchs still in progress to improve the implementation of elliptic curves cryptography (ECC) and reducing its complexity. Elliptic curve point-halving algorithm proposed in [10], later(More)
Elliptic curves scalar multiplication over some …nite …elds, attractive research area, which paid much attention by researchers in the recent years. Researchs still in progress to improve elliptic curves cryptography implementation and reducing it's complexity. Elliptic curve point-halving algorithm proposed in [11] and later double-base chain [3] and step(More)
Elliptic curve (EC) pairings have been the focus of attention of researchers and cryptographers, especially after identity-based cryptosystems (IBC) were proposed in 2001. The Weil and Tate pairing is considered as the most important pairings used in cryptographical protocols and their applications. The computation efficiency of the Weil and Tate pairings(More)
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