This paper is devoted to the design of a 258bit multiplier for computing pairings over Barreto-Naehrig (BN) curves at 128-bit security level. The proposed design is optimized for Xilinx field programmable gate array (FPGA). Each 258-bit integer is represented as a polynomial with five, 65 bit signed integer, coefficients . Exploiting this splitting we designed a pipelined 65-bit multiplier base...

In this paper, we propose an efficient method for rearranging the wavelet packet coefficients of an image to form hierarchical trees, by which the well known SPIHT algorithm can be applied. For images with textures, the high frequency wavelet coefficients are likely to become significant after several code passes of SPIHT, which degrades substantially the coding performance. As a result, the hi...

Recently, there has been a lot of interest on cryptographic applications based on fields GF (p), for p > 2. This contribution presents GF (p) multipliers architectures, where p is odd. We present designs which trade area for performance based on the number of coefficients that the multiplier processes at one time. Families of irreducible polynomials are introduced to reduce the complexity of th...

In this paper we investigate graph-based minimum-adder integer multipliers using carry-save adders. The previously proposed approaches use carry-propagation adders with two inputs and one output and are not suitable for carry-save adder implementation when we have a single input and a carry-save output of the multiplier. Using carry-save adders avoids carry propagation and will result in a high...

This analysis is a straightforward implementation of both long-run and short-run identifying or overidentifying restrictions on a vector error correction model in the “structural VAR” framework. The framework utilizes covariance restrictions, long-run multiplier restrictions, error correction coefficient restrictions, and restrictions on slope coefficients of the stimultaneous interactions in t...

FIR filters are widely used in digital signal processing, image processing, wireless communication and software defined radio. In SDR, reconfigurable FIR filter with dynamically programmable filter coefficients are essential. In FIR filter, the multiplication is performed between one particular variable (the input) and many constants (the coefficients) and known as multiple constant multiplicat...

For automorphic representations in the nontempered cuspidal spectrum of SO5, we establish a precise Bessel period formula, in which the square of the global Bessel period is decomposed as an Euler product of regularized local Bessel period integrals of matrix coefficients.

Curvelet is often used in image multi-scale analysis for its description ability to the image edges such as curve and line characteristics. On the basis of analyzing several common algorithms of image fusion, a new multi-focus image fusion method based on Curvelet transform is proposed according to the question of image fusion. The principle of Curvelet transform is described and the fusion rul...

I describe a statistical model for natural photographic images, when decomposed in a multi-scale wavelet basis. In particular, I examine both the marginal and pairwise joint histograms of wavelet coefficients at adjacent spatial locations, orientations, and spatial scales. Although the histograms are highly non-Gaussian, they are nevertheless well described using fairly simple parameterized den...