Ozbudak, FerruhTekin, Eda2024-09-292024-09-2920211930-53461930-5338https://doi.org/10.3934/amc.2020087https://hdl.handle.net/20.500.14619/7518In this paper, we give a classification of a sequence family, over arbitrary characteristic, adding linear trace terms to the function g(x) = Tr(x(d)), where d = p(2k) - p(k) + 1, first introduced by Trachtenberg. The family has p(n) + 1 cyclically distinct sequences with period p(n) - 1. We compute the exact correlation distribution of the function g(x) with linear m-sequences and amongst themselves. The cross-correlation values are obtained as C-i,C-j(tau) is an element of {-1, -1 +/- p(n+e/2), -1 + p(n)}.eninfo:eu-repo/semantics/openAccessSequencescross-correlationplateaued functionsArticle10.3934/amc.20200872-s2.0-851222942526624Q264715WOS:000687817100006Q3