Let \begin{document}$ p\equiv 1\pmod 3 $\end{document} be a prime. In this paper, we determine the 2-adic complexity of all non-trivial balanced cyclotomic binary sequences order three with period id="M2">\begin{document}$ 2p and several non-balanced id="M3">\begin{document}$ $\end{document}</i...

We introduce a matricial Toeplitz transform and prove that the Toeplitz transform of a second order recurrence sequence is another second order recurrence sequence. We investigate the injectivity of this transform and show how this distinguishes the Fibonacci sequence among other recurrence sequences. We then obtain new Fibonacci identities as an application of our transform.

Human immunodeficiency virus types 1 and 2 (HIV-1 and HIV-2) express related Tat proteins that are encoded in two exons. Tat proteins bind directly to the TAR RNA element contained in the 5' ends of viral transcripts and thereby stimulate transcription through an as yet unidentified mechanism. We have investigated the functional significance of exon2 of the HIV-2 Tat protein by examining proper...

Let p be an odd prime and n = 2m with p ≡ 1 (mod 4). In this paper, the cross-correlation distribution between two decimated sequences of a p-ary m-sequence, s(2t+ i) with i ∈ {0, 1} and s(d′t) with d′ = 2d, d = ( p +1 2 ) is determined.