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

2011/03/18 by Yuri Borissov, Yuri L. Borissov, Borissov, Yuri L.
Computer Science · Economics, Econometrics and Finance · Mathematics · #FOS: Computer and information sciences #Information Theory (cs.IT) #Mathematical Analysis and Transform Methods #Mathematical Approximation and Integration #Stochastic processes and financial applications #cs.IT #math.IT

paper · pdf · doi:10.48550/arxiv.1103.3580

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

arxiv created 2011/03/18 · openalex publication_date 2011/03/18 · arxiv updated 2011/03/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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