Research ArticleOpen accessIn the abstractA Geometric Generalization of the Planar Gale-Nikaidô TheoremE. Cabral BalreiraThe Gale-Nikaidô Theorem establishes global injectivity of maps defined over rectangular regions provided the Jacobian matrix is a P-matrix. We provide a purely geometric generalization of this result in the plane by showing that if the image of each edge of the rectangular domain is realized as a graph of a function over the appropriate axis, then the map is … …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 30 May 2018 · 7,561 accessesView PDFCite
Research ArticleOpen accessIn the abstractHighly Efficient Elliptic Curve Crypto-Processor with Parallel GF(2m) Field MultipliersTurki F. Al-Somani, M. K. Ibrahim, Adnan GutubThis study presents a high performance GF(2m) Elliptic Curve Crypto-processor architecture. The proposed architecture exploits parallelism at the projective coordinate level to perform parallel field multiplications. In the proposed architecture, normal basis representation is used. Comparisons between the Projective, Jacobian and Mixed coordinate systems using sequential and parallel designs are presented. Results show that parallel designs using normal basis gives … …Journal of Computer Science, Vol. 2, Issue 5 · 31 May 2006 · 6,877 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn the Elliptic Function Arising from the Theta Functions and Dedekind's η-FunctionIsmet Yildiz, Neslihan UyanikIt's a reality that there is a relationship between the sigma function of Weierstrass and theta functions. An elliptic function can be set up using the theta functions just as it can be astablished with the help of sigma function of Weierstrass and two relations between the Dedekind's h-function and - theta function were established by the using characteristic values … …Journal of Mathematics and Statistics, Vol. 1, Issue 2 · 30 Jun 2005 · 6,367 accessesView PDFCite