On a Connection between Ideal Two-level Autocorrelation and Almost Balancedness of $p$-ary Sequences

Details On a Connection between Ideal Two-level Autocorrelation and Almost Balancedness of $p$-ary Sequences On a Connection between Ideal Two-level Autocorrelation and Almost Balancedness of $p$-ary Sequences

2011-03-18

arxiv.org/abs/1103.3580v1

Computer Science

Information Theory

6 pages, submitted to Comptes rendus de l'Academie Bulgare des Sciences

Scientific paper

In this correspondence, for every periodic $p-$ary sequence satisfying ideal two-level autocorrelation property the existence of an element of the field ${\bf GF}(p)$ 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.

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