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

Автор(и)

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

Finite field, multiplicative order, lower bound

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.