Efficient removal of divisors in the k-ary algorithm
The k-ary algorithm is one of the most efficient methods for finding the greatest common divisor (GCD). To find GCD of u and v, we performed the k-ary reduction t = |au + bv|/k, where 0 < a, |b| ≤ [√ k]: au + bv = 0(mod k). The reduction step is used when and have almost the same size. Otherwis...
Main Author: | R.R. Enikeev |
---|---|
Format: | Article |
Language: | English |
Published: |
Kazan Federal University
2019-09-01
|
Series: | Учёные записки Казанского университета. Серия Физико-математические науки |
Subjects: | |
Online Access: | https://kpfu.ru/uz-eng-phm-2019-3-6.html |
Similar Items
-
On the Diophantine equation $\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=\frac{1}{3p}$
by: Xiaodan Yuan, et al.
Published: (2017-02-01) -
Real number approximation by a rational number in the approximating k-ary algorithm
by: R.R. Enikeev
Published: (2019-06-01) -
Influence of Context on Greatest Common Divisor Problem Solving: A Qualitative Study
by: Silvia Martinez, et al.
Published: (2022-04-01) -
Divisibility among determinants of power matrices associated with integer-valued arithmetic functions
by: Long Chen, et al.
Published: (2020-02-01) -
Attack and Improvement on a Symmetric Fully Homomorphic Encryption Scheme
by: Wenju Xu, et al.
Published: (2019-01-01)