2 research outputs found
A New Criterion on Normal Bases of Finite Field Extensions
A new criterion on normal bases of finite field extension is presented and explicit criterions for several particular
finite field extensions are derived from this new criterion
A new criterion on k-normal elements over finite fields
The notion of normal elements for finite fields extension has been
generalized as k-normal elements by Huczynska et al. [3]. The number of
k-normal elements for a fixed finite field extension has been calculated and
estimated [3], and several methods to construct k-normal elements have been
presented [1,3]. Several criteria on k-normal element have been given [1,2]. In
this paper we present a new criterion on k-normal elements by using idempotents
and show some examples. Such criterion has been given for usual normal element
before [6].Comment: 1