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Роман Богданович Попович Roman Popovych
Роман Богданович Попович Roman Popovych
Lviv Polytechnic National Univercity
Verified email at lpnu.ua
Title
Cited by
Cited by
Year
Elements of high order in finite fields of the form Fq [x]/Φr (x)
R Popovych
Finite Fields and Their Applications 18 (4), 700-710, 2012
462012
Elements of high order in finite fields of the form Fq [x]/(xm− a)
R Popovych
Finite Fields and Their Applications 19 (1), 86-92, 2013
372013
Sharpening of the explicit lower bounds for the order of elements in finite field extensions based on cyclotomic polynomials
RB Popovych
Ukrains’ kyi Matematychnyi Zhurnal 66 (6), 815–825-815–825, 2014
132014
On elements of high order in general finite fields
R Popovych
Algebra and discrete mathematics, 2014
122014
Elements of high order in Artin-Shreier extensions of finite fields
RB Popovych
Математичні студії, 115-118, 2013
10*2013
Normal high order elements in finite field extensions based on the cyclotomic polynomials
RB Popovych, RV Skuratovskii
Algebra and Discrete Mathematics 29 (2), 241-248, 2020
62020
On construction of high order elements in arbitrary finite fields
R Dunets, B Popovych, R Popovych
JP J. Algebra Number Theory Appl 42, 71-76, 2019
52019
Cryptoanalysis of RSA system of enciphering with public key
R Popovych
Proceedings of the International Conference Modern Problems of Radio …, 2004
52004
A note on Agrawal conjecture
R Popovych
Cryptology ePrint Archive, 2009
42009
Lower bound on product of binomial coefficients
R Popovych
Buletinul Academiei de Ştiinţe a Moldovei. Matematica 78 (2), 21-26, 2015
32015
Lower bounds on the orders of subgroups connected with Agrawal conjecture
R Popovych
Carpathian Mathematical Publications 5 (2), 310-314, 2013
32013
On the multiplicative order of elements in Wiedemann's towers of finite fields
R Popovych
Carpathian Mathematical Publications 7 (2), 220-225, 2015
22015
Some primitive elements for the Artin--Schreier extensions of finite fields
RB Popovych
Journal of Mathematical Sciences 210 (1), 67-76, 2015
22015
Multiplicative orders of elements in Conway towers of finite fields
R Popovych
arXiv preprint arXiv:1509.01958, 2015
22015
Elements of high order in finite field extensions based on Kummer polynomials
R Popovych
International Mathematical Conference, 40, 2012
12012
Correctness of Li generalization of RSA cryptosystem
R Popovych
Cryptology ePrint Archive, 2009
12009
CONSTRUCTION OF HIGH ORDER ELEMENTS FOR CRYPTOSYSTEMS WHICH USE NON-COMMUTATIVE GROUPS
BR Popovych, RB Popovych
Publishing House “Baltija Publishing”, 2023
2023
Elements of high order in finite fields specified by binomials
V Bovdi, A Diene, R Popovych
arXiv preprint arXiv:2204.13882, 2022
2022
On multiplicative order of elements in finite field extension generated by a root of unity.
R Popovych
XII Мiжнародна алгебраїчна конференцiя в Українi, присвячена 215-й рiчницi з …, 2019
2019
On construction of high order elements in general finite fields
R Dunets, B Popovych, R Popovych
2017 9th IEEE International Conference on Intelligent Data Acquisition and …, 2017
2017
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