Computational aspects of theory of elliptic curves
โ Scribed by Zimmer H.G.
- Book ID
- 127400049
- Publisher
- Kluwer
- Year
- 1989
- Tongue
- English
- Weight
- 824 KB
- Series
- Number theory and appl
- Category
- Library
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
This volume contains the expanded versions of the lectures given by the authors at the C. I. M. E. instructional conference held in Cetraro, Italy, from July 12 to 19, 1997. The papers collected here are broad surveys of the current research in the arithmetic of elliptic curves, and also contain sev
The central theme of this book is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithme
The basic operation in elliptic curve cryptoschemes is multiplication. In this paper, we first propose an efficient algorithm for the computation on an elliptic curve. Our algorithm is a combination of the addition-subtraction chains and the "sliding window" variant of the "M-ary method." We then ex