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 ...
Finite elliptic curve groups can also be constructed using modular arithmetic reduction of prime power numbers. Let's assume we have an elliptic curve, E(a,b): y2 = x3 + ax + b where: a and b are integers 4a3 + 27b2 != 0 ...
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 ...
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...
Frequency Domain Finite Field Arithmetic for Elliptic Curve Cryptography Efficient implementation of the number theoretic transform(NTT), also known as the discrete Fourier transform(DFT) over a finite field, has been studied actively for decades and found many applications in digital signal processing....
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...
Curve 25519 [1] There are for non-isomorphic finite projective planes of order 9, i.e. planes with 9² + 9 + 1 = 91 points. And there are other examples of finite projective planes not isomorphic to planes constructed as outlined here. However, so far all such planes have the same...
关键词: Computation theory; Functions; Number theory; Class numbers; Elliptic curve; Non-isomorphic; Number fields; Odd prime; Prime number; Zeta function; Geometry; 年份: 1998 收藏 求助全文 通过文献互助平台发起求助,成功后即可免费获取论文全文 文献求助...