In this paper, by applying a new step into the process of generating sequence, a new generating method of k-value sequence is derived. As with the previous work ...
Missing: Cross Correlation
This paper proposes a new multi-value sequence generated by utilizing primitive element, trace, and power residue symbol over odd characteristic finite field.
Jul 22, 2024 · Maximum-length sequences (m-sequences for short) over finite fields are generated by linear feedback shift registers with primitive charac-.
Missing: Consideration | Show results with:Consideration
This paper proposes a novel approach for pseudo random ternary sequence over finite field. The sequence is generated from a primitive polynomial over finite ...
Two sequences have p values cross correlations and are asymptotically optimal with respect to the cross correlation bound.
Missing: Consideration | Show results with:Consideration
Oct 1, 2022 · In this paper, let F q be a finite field with q elements and m 1, m 2 two positive integers with d = gcd ( m 1, m 2 ).
Missing: Consideration | Show results with:Consideration
Dec 1, 2021 · Note that in the m odd case the same method shows there are at most 6 correlation values in {−2m,0,2m,2 · 2m,3 · 2m,4 · 2m} (the complete.
Jun 6, 2023 · TRACE. The concept of trace in a finite field E = GF(qn) is a particularly useful tool in the analysis of M-sequences. The trace of a E E= GF ...
Abstract. The cross-correlation between two maximum length sequences (m-sequences) of the same period has been studied since the end of 1960s.
SUMMARY. In this paper we obtain a new method to compute the correlation values of two arbitrary sequences defined by a mapping from. F4n to F4.