Efficient arithmetic on elliptic curves over fields of characteristic three - Farashahi, Wu, et al. - 2013 () Citation Context ...lliptic curve cryptosystem. Since then, the elliptic curve cryptosystem has been invested in the field of public key cryptography because of its low bandwidth and...
Test vectors for modular integer arithmetic Encoded in text format Contains examples for two-operand operations: addition, subtraction, multiplication, division, exponentiation Contains examples for one-operand operations: inversion, square root tcdata_curve.txt.gz2011-09-29 ...
This chapter provides notes and tutorials on reduced elliptic curve groups. Topics include elliptic curve on in integer space; elliptic curves and the addition operation reduced by modular arithmetic; elliptic curve groups and examples.
As a result, the geometry used in elliptic curve groups over real numbers cannot be used for elliptic curve groups over Fp. However, the algebraic rules for the arithmetic can be adapted for elliptic curves over Fp. Unlike elliptic curves over real numbers, computations over the field of Fp ...
In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that "the theory of elliptic curves is ric... JH Silverman - 世界图书出版公司:Springer 被引量: 1522发表: 2010年 Introduction to Elliptic Curves and Modular Forms The theory of ...
The burgeoning field of computational number theory asks for practical algorithms to compute solutions to arithmetic problems. For example, the Mordell–Weil theorem (VIII.6.7) says that the group of rational points on an elliptic curve is finitely generated, and although we still lack an effective...
摘要: PROBLEM TO BE SOLVED: To increase the speed of scalar multiple arithmetic of points on an elliptic curve.收藏 引用 批量引用 报错 分享 文库来源 求助全文 ARITHMETIC UNIT FOR ELLIPTIC CURVE SCALAR MULTIPLE 优质文献 相似文献Elliptic-Curve-Based Security Processor for RFID...
Elliptic Curve E(-1,1) in Real Number Space Here is the reduced elliptic curve group using modular arithmetic of prime number 97, E97(-1,1): y2= x3- x + 1 (mod 97) Elliptic Curve Group E97(-1,1) Example points on the curve: ...
The Elliptic Curve Cryptography (ECC) is modern family of public-key cryptosystems, which is based on the algebraic structures of the elliptic curves over finite fields and on the difficulty of the Elliptic Curve Discrete Logarithm Problem (ECDLP). ECC implements all major capabilities of the asymm...