On a Connection between Ideal Two-level Autocorrelation and Almost Balancedness of $p$-ary Sequences
Information Theory
2011-03-21 v1 math.IT
Abstract
In this correspondence, for every periodic ary sequence satisfying ideal two-level autocorrelation property the existence of an element of the field which appears one time less than all the rest that are equally distributed in a period of that sequence, is proved by algebraic method. In addition, it is shown that such a special element might not be only the zero element but as well arbitrary element of that field.
Keywords
Cite
@article{arxiv.1103.3580,
title = {On a Connection between Ideal Two-level Autocorrelation and Almost Balancedness of $p$-ary Sequences},
author = {Yuri L. Borissov},
journal= {arXiv preprint arXiv:1103.3580},
year = {2011}
}
Comments
6 pages, submitted to Comptes rendus de l'Academie Bulgare des Sciences