In this paper, by using a powerful criterion for permutation polynomials given by Zieve, we give several classes of complete permutation monomials over Fqr. In addition, we present a class of complete permutation multinomials, which is a generalization of recent work.
In this paper, some questions on the distribution of the peak-to-mean envelope power ratio (PMEPR) of standard binary Golay sequences are solved. For n odd, we prove that the PMEPR of each standard binary Golay sequence of length 2<sup>n</sup> is exactly 2, and determine the location(s), where peaks occur for each sequence. For n even, we prove that the… (More)
We propose a construction for complementary sets of arrays that exploits a set of mutually-unbiased bases (a MUB). In particular we present, in detail, the construction for complementary pairs that is seeded by a MUB of dimension 2, where we enumerate the arrays and the corresponding set of complementary sequences obtained from the arrays by projection. We… (More)
The construction of permutation trinomials over finite fields attracts people's interest recently due to their simple form and some additional properties. Motivated by some results on the construction of permutation trinomials with Niho exponents, by constructing some new fractional polynomials that permute the set of the (q + 1)-th roots of unity in F q 2… (More)
Negabent functions as a class of generalized bent functions have attracted a lot of attention recently due to their applications in cryptography and coding theory. In this paper, we consider the constructions of negabent functions over finite fields. First, by using the compositional inverses of certain binomial and trinomial permutations, we present… (More)
The problem of constructing near-complementary sequences for peak power control in orthogonal frequency-division multiplexing (OFDM) is considered in this paper. In some applications, it is required that the sequences have various lengths as well as low peak-to-mean envelope power ratio (PMEPR). In this paper, we give a method for constructing length n… (More)