- Algebraic Geometry and Number Theory
- Analytic Number Theory Research
- Coding theory and cryptography
- Polynomial and algebraic computation
- Cryptography and Residue Arithmetic
- Mathematical Dynamics and Fractals
- Sephardic Jews and Inquisition Studies
- Advanced Algebra and Geometry
- Advanced Differential Equations and Dynamical Systems
- Cryptography and Data Security
- Language, Linguistics, Cultural Analysis
- Polymer Nanocomposite Synthesis and Irradiation
- Historical and Linguistic Studies
- advanced mathematical theories
- Spanish Literature and Culture Studies
- Early Modern Spanish Literature
- Mathematics and Applications
- Polymer crystallization and properties
- Radiation Effects and Dosimetry
- History and Theory of Mathematics
- Medieval and Classical Philosophy
- Cryptographic Implementations and Security
- Hispanic-African Historical Relations
- Medieval Iberian Studies
- Advanced Topology and Set Theory
Brown University
2014-2024
Florida Institute of Technology
2024
California University of Pennsylvania
1979-2021
Brocade (United States)
2021
Instituto Nacional de las Mujeres
2021
Louisiana Tech University
2020
John Brown University
2003-2015
Kyoto University
2013-2014
University of California, Santa Cruz
1966-2013
University of California, Los Angeles
1959-2013
This self-contained introduction to modern cryptography emphasizes the mathematics behind theory of public key cryptosystems and digital signature schemes. The book focuses on these topics while developing mathematical tools needed for construction security analysis diverse cryptosystems. Only basic linear algebra is required reader; techniques from algebra, number theory, probability are introduced developed as required. text provides an ideal computer science students foundations...
ADVERTISEMENT RETURN TO ISSUEPREVArticleNEXTThe Exchange Reaction between the Two Oxidation States of Iron in Acid SolutionJ. Silverman and R. W. DodsonCite this: J. Phys. Chem. 1952, 56, 7, 846–852Publication Date (Print):July 1, 1952Publication History Published online1 May 2002Published inissue 1 July 1952https://pubs.acs.org/doi/10.1021/j150499a007https://doi.org/10.1021/j150499a007research-articleACS PublicationsRequest reuse permissionsArticle Views547Altmetric-Citations157LEARN ABOUT...
Estimates for the difference of Weil height and canonical points on elliptic curves are used many purposes, both theoretical computational. In this note we give an explicit estimate in terms <italic>j</italic>-invariant discriminant curve. The method proof, suggested by Serge Lang, is to use decomposition into a sum local heights. We illustrate one our computing generators Mordell-Weil group three examples.