Elements of high multiplicative order in extended finite fields on a base of modified GAO approach
Bogdan Popovych · Komp'ûternì sistemi ta merežì · 2019
The Gao approach to construction of high order elements in arbitrary finite fields is to choose a convenient polynomial, which defines an extension of an initial prime field. This choice depends on one polynomial-parameter. That is why the mentioned approach can be considered as using of a finite field description with one degree of freedom. We explore in the paper the