A Complete Generalization of Atkin's Square Root Algorithm

Author:

Rotaru Armand Stefan1,Iftene Sorin2

Affiliation:

1. Institute of Computer Science, Romanian Academy, Carol I no. 8, 700505 Iasi, Romania. armand.rotaru@iit.academiaromana-is.ro

2. Department of Computer Science, Alexandru Ioan Cuza University, General Berthelot no. 16, 700483 Iasi, Romania. siftene@info.uaic.ro

Publisher

IOS Press

Subject

Computational Theory and Mathematics,Information Systems,Algebra and Number Theory,Theoretical Computer Science

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On the computation of r-th roots in finite fields;Finite Fields and Their Applications;2024-10

2. An optimization method for the generalized simplified SWU algorithm;2024 IEEE 7th Advanced Information Technology, Electronic and Automation Control Conference (IAEAC);2024-03-15

3. Computing square roots faster than the Tonelli-Shanks/Bernstein algorithm;Advances in Mathematics of Communications;2022

4. On the Cipolla–Lehmer type algorithms in finite fields;Applicable Algebra in Engineering, Communication and Computing;2018-06-25

5. On $r$ -th Root Extraction Algorithm in $\mathbb {F}_q$ for $q\equiv lr^{s}+1\;({\mathrm mod}\; r^{s+1})$ with $0< l< r$ and Small $s$ ;IEEE Transactions on Computers;2016-01-01

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