We show that a p-ary polyphase sequence of period p 2 from the Fermat quotients is perfect.
That is, its periodic autocorrelation is zero for all non-trivial phase shifts. We call this Fermat …

In this study, first the authors present a simplified representation of the Peng–Fan bounds on
the periodic Hamming correlation of frequency‐hop** sequence (FHS) sets, which may …

Let an (n, l, λ)-FHS denote a frequency-hop** sequence of length n over an alphabet with
size l with maximum periodic Hamming out-of-phase autocorrelation λ and let q be a power …

Frequency-hop** (FH) technique is widely used in high-secure communications by
exploiting its capabilities of mitigating interference and confidentiality. However, electronic …

New classes of zero-difference balanced (ZDB) functions derived from Fermat quotients are
proposed in this letter. Based on the new ZDB functions, some applications, such as the …

Direct-sequence spread spectrum and frequency-hop** (FH) spread spectrum are two
main spread-coding technologies. Frequency-hop** sequences (FHSs) achieving the well …

In frequency hop** communication system, the correlation characteristic of frequency
hop** sequence is an important standard to measure the system performance. Therefore …

Zero-difference balanced (ZDB) functions were introduced by Ding in connection with
constructions of optimal constant composition codes and optimal and perfect difference …

In this paper, we investigate the Hamming correlation properties of column sequences from
the (q-1) * q^ d-1 q-1 (q-1)× qd-1 q-1 array structure of M-ary Sidelnikov sequences of period …

We show that a p-ary polyphase sequence of period p 2 from the Fermat quotients
isperfect.'That is, its periodic autocorrelation is zero for all non-trivial shifts. We call this …