May  2009, 3(2): 135-156. doi: 10.3934/amc.2009.3.135

Two binary sequence families with large merit factor

1. 

Department of Mathematics, Simon Fraser University, 8888 University Drive, Burnaby, BC, Canada V5A 1S6, Canada

2. 

Department of Informatics, High Technology Center in Bergen, University of Bergen, Bergen 5020, Norway

Received  November 2008 Revised  February 2009 Published  May 2009

We calculate the asymptotic merit factor, under all rotations of sequence elements, of two families of binary sequences derived from Legendre sequences. The rotation is negaperiodic for the first family, and periodic for the second family. In both cases the maximum asymptotic merit factor is 6. As a consequence, we obtain the first two families of skew-symmetric sequences with known asymptotic merit factor, which is also 6 in both cases.
Citation: Kai-Uwe Schmidt, Jonathan Jedwab, Matthew G. Parker. Two binary sequence families with large merit factor. Advances in Mathematics of Communications, 2009, 3 (2) : 135-156. doi: 10.3934/amc.2009.3.135
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