Neranga Fernando

Publications

1. (with J. Fang and H. Wu) Reversed Dickson polynomials. Accepted in Involve, a Journal of Mathematics arXiv
2. (with M. Elhamdadi and M. P. Goonewardena) Classification of connected shelves. Accepted in New Zealand Journal of Mathematics arXiv
3. Reversed Dickson polynomials of the (k+1)-th kind over finite fields, II. Accepted in Contributions to Discrete Mathematics arXiv
4. (with S. U. Hasan and M. Pal) Dembowski-Ostrom polynomials and Reversed Dickson polynomials. Discrete Applied Mathematics (2021) journal arXiv
5. (with M. Elhamdadi and B. Tsvelikhovskiy) Ring theoretic aspects of quandles. Journal of Algebra (2019) journal arXiv
6. A note on the permutation behaviour of the polynomial g_n,q. INTEGERS: The Electronic Journal of Combinatorial Number Theory 19 (2019). journal arXiv
7. (with S. Manukure) A note on Dickson polynomials of the third kind and Legendre functions. Journal of Inequalities and Special Functions (2019) journal arXiv
8. A note on permutation binomials and trinomials over finite fields. New Zealand J. Math. 48 (2018), 25-29. journal arXiv
9. (with I. R. Churchill and M. Elhamdadi) The cocycle structure of the Alexander f-quandles on finite fields. J. Algebra Appl. 17 (2018) journal arXiv
10. Self-reciprocal polynomials and coterm polynomials. Des. Codes Cryptogr. 86 (2018), no. 8, 1707-1726. journal arXiv
11. Reversed Dickson polynomials of the (k+1)-th kind over finite fields. J. Number Theory 172 (2017), 234-255. journal arXiv
12. Reversed Dickson polynomials of the third kind. In: Gloria Scientiam. University of Kelaniya, Sri Lanka (2017), Chapter 50: 585-598. journal arXiv
13. (with X. Hou) From r-linearized polynomial equations to r^m-linearized polynomial equations. Finite Fields Appl. 37 (2016), 14-27. journal arXiv
14. (with X. Hou and S. D. Lappano) Permutation polynomials over finite fields involving x+x^q+…+x^qa-1. Discrete Math. 315 - 316 (2014), 173-184. journal
15. (with X. Hou and S. D. Lappano) A new approach to permutation polynomials over finite fields, II. Finite Fields Appl. 22 (2013), 122-158. journal arXiv
16. (with X. Hou) A piecewise construction of permutation polynomials over finite fields. Finite Fields Appl. 18 (2012), 1184-1194. journal

Submitted for Publication

1. (with M. H. Rashid) Fibonacci self-reciprocal polynomials and Fibonacci permutation polynomials. (Submitted for publication) arXiv

Ph.D. Thesis

1. A study of permutation polynomials over finite fields. Ph.D. Dissertation, University of South Florida, Tampa, FL, USA (2013). Ph.D. Thesis

Unrefereed Publications

1. Dembowski-Ostrom polynomials and reversed Dickson polynomials. arXiv

Coauthors