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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 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)