5 papers
BCH and LCD cyclic codes of length over finite fields
Jinle Liu, Hongfeng Wu, Li Zhu
BCH and LCD cyclic codes of length with are studied. A complete characterization of -cyclotomic cosets modulo is given: Theorem \ref{th4} provides a…
Finite fields whose members are the sum of a potent and a 5-potent
Juncheng Zhou, Peter V. Danchev, Hongfeng Wu
We show that there are only finitely many finite fields whose members are the sum of an -potent element and a -potent element. Combining this with the algorithmic results pro…
The Minimal Binomial Multiples of Polynomials over Finite Fields
Li Zhu, Hongfeng Wu
Let be a nonconstant polynomial over , with a nonzero constant term. The order of is a classical notion in the theory of polynomials over finite field…
Cyclotomy, cyclotomic cosets and arithmetic properties of some families in
Juncheng Zhou, Hongfeng Wu
Arithmetic properties of some families in are obtained by using the cyclotomic classes of order 2 with respect to ,…
The Multiple Equal-Difference Structure of Cyclotomic Cosets
Li Zhu, Juncheng Zhou, Jinle Liu +1
In this paper we introduce the definition of equal-difference cyclotomic coset, and prove that in general any cyclotomic coset can be decomposed into a disjoint union of equal-diff…