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Abstract: Abstract: Periodic binary sequences with the "trinomial property" are considered. A conjecture of Golomb and Gong concerning these sequences is disproved. Index Terms: Periodic binary sequence, trinomial property, trinomial pair. 1 Introduction The m-sequences A = fa i g of degree n and period p = 2 n \Gamma 1 are characterized by the "shift-and-add property": for each ø , 0 ! ø p, there is a corresponding ø 0 , with fa i g + fa i+ø g = fa i+ø 0 g: (1) Thus, the p cyclic shifts of fa i... (Update)
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BibTeX entry: (Update)
@misc{ cusick-conjecture,
author = "Thomas W. Cusick and Guang Gong",
title = "A Conjecture on Binary Sequences with the "Trinomial Property"",
url = "citeseer.ist.psu.edu/cusick99conjecture.html" }
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2 Trinomial Property (context) - Golomb, Gong et al. - 1999
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