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Роман Богданович Попович Roman Popovych
Роман Богданович Попович Roman Popovych
Lviv Polytechnic National Univercity
Подтвержден адрес электронной почты в домене lpnu.ua
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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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