2005•IEICE Transactions on Fundamentals of Electronics Communications and Computer SciencesRequires access

Statistical Properties of Modulo-p Added p-Ary Sequences

Akio Tsuneda

Abstract

Some statistical analyses of modulo-2 added binary sequences are generalized to modulo-p added p-ary sequences. First, we theoretically evaluate statistics of sequences obtained by modulo-p addition of two general p-ary random variables. Next, we consider statistics of modulo-p added chaotic p-ary sequences generated by a class of one-dimensional chaotic maps.

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Key concepts: Modulo, Binary number, Mathematics, Modulo operation, Chaotic, Class (philosophy), Primitive root modulo n, Combinatorics