On the existence of pairs of primitive normal elements over finite fields-Reference-Cited by-同舟云学术

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On the existence of pairs of primitive normal elements over finite fields

Published:2021-04-06 Issue: Volume: Page:
ISSN:1982-6907
Container-title:São Paulo Journal of Mathematical Sciences
language:en
Short-container-title:São Paulo J. Math. Sci.

Author:

Rani Mamta,Sharma Avnish K.,Tiwari Sharwan K.^ORCID,Gupta Indivar

Funder

Council of Scientific and Industrial Research, India

UGC-DAE Consortium for Scientific Research, University Grants Commission

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Statistics, Probability and Uncertainty,General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s40863-021-00224-5.pdf

Reference29 articles.

1. Agnew, G.B., Mullin, R.C., Onyszchuk, I.M., Vanstone, S.A.: An implementation for a fast public-key cryptosystem. J. Cryptol. 3(2), 63–79 (1991). https://doi.org/10.1007/BF00196789. (ISSN 0933-2790)

2. Anju, Sharma, R.K.: Existence of some special primitive normal elements over finite fields. Finite Fields Appl. 46, 280–303 (2017). https://doi.org/10.1016/j.ffa.2017.04.004

3. Anju, Sharma, R.K.: On primitive normal elements over finite fields. Asian-Eur. J. Math. 11(2), 1850031 (2018). https://doi.org/10.1142/S1793557118500316

4. Blum, M., Micali, S.: How to generate cryptographically strong sequences of pseudorandom bits. SIAM J. Comput. 13(4), 850–864 (1984)

5. Booker, A.R., Cohen, S.D., Sutherland, N., Trudgian, T.: Primitive values of quadratic polynomials in a finite field. Math. Comput. 88(318), 1903–1912 (2019). https://doi.org/10.1090/mcom/3390.

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1. Arithmetic progression in a finite field with prescribed norms;Forum Mathematicum;2024-03-26

2. Inverses of r-primitive k-normal elements over finite fields;The Ramanujan Journal;2023-10-24

3. Primitive normal values of rational functions over finite fields;Journal of Algebra and Its Applications;2022-05-06

4. Primitive normal pairs with prescribed norm and trace;Finite Fields and Their Applications;2022-02

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