On multiplicative order of elements in finite field extension generated by a root of unity.

Autor

  • R. Popovych Department of Specialized Computer Systems, Lviv Polytechnic National University, Lviv, Ukraine

Słowa kluczowe:

Finite field, multiplicative order, lower bound

Abstrakt

On multiplicative order of elements in finite field extension generated by a root of unity.

Bibliografia

O. Ahmadi, I. E. Shparlinski and J. F. Voloch, Multiplicative order of Gauss periods, Intern. J. Number Theory 6 (2010), no. 4, 877–882.

G. E. Andrews, The Theory of Partitions, Addison-Wesley, Reading, 1976.

A. Maroti, On elementary lower bounds for the partition function, Integers 3 (2003), A10.

G. L. Mullen and D. Panario, Handbook of Finite Fields, CRC Press, Boca Raton, 2013.

R. Popovych, Elements of high order in finite fields of the form ....[..]/...(..), Finite Fields Appl. 18 (2012), no. 4, 700–710.

J. F. Voloch, On the order of points on curves over finite fields, Integers 7 (2007), A49.

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