supported by the National Natural Science Foundation of China(Grant Nos.10471002 and 90104004);the Major State Basic Research Development Program of China(Grant No.1999075105).
A complete algorithm to design 4-band orthogonal wavelets with beautiful structure from 2-band orthogonal wavelets is presented. For more smoothness, the conception of transfer vanishing moment is introduced by transp...
Supported by National Natural Science Foundation of China (Grant Nos. 10471002 and 90104004) and Major State Basic Research Development Program of China (Grant No. 1999075105)
The 4-channel smooth wavelets with linear phase and orthogonality are designed from the 2-channel orthogonal wavelets with high transfer vanishing moments. Reversely, for simple lifting scheme of such 4 channel orthog...
This work is supported by the National Natural Science Foundation of China(No.90104004, No.60373059).
Divisor scalar multiplication is the vital operation in hyperelliptic curve cryptosystems. In this paper, by using Frobenius endomorphism, we propose a new efficient algorithm to perform this operation. If a normal ba...
Supported by the National Natural Science Foundation of China(No.90104004) ;the National 973 High Technology Projects(No.G1998030420)
The key operation in Elliptic Curve Cryptosystems(ECC) is point scalar multiplication. Making use of Frobenius endomorphism, Muller and Smart proposed two efficient algorithms for point scalar multiplications over eve...
This work was supported by the National Natural Science Foundation of China(Grant No.90104004);973 Project of China(Grant No.G1999075105).
The Hankel transform is an important transform. In this paper, westudy the wavelets associated with the Hankel transform, thendefine the Weyl transform of the wavelets. We give criteria of itsboundedness and compactne...