Tables of graphs of binary and ternary sequences differentiation

Details Tables of graphs of binary and ternary sequences differentiation Tables of graphs of binary and ternary sequences differentiation

2007-04-23

arxiv.org/abs/0704.2947v2

Mathematics

Number Theory

16 pages, 2 large tables, program on Mathematica

Scientific paper

Let $x$ be a cyclic sequence of $n$ elements of the finite field $\mathbb{F}_q$ (the first element immediately follows the $n$-th one). Let us define the operation $\Delta$ as the transition from $x$ to the sequence of differences of the neighbouring elements from $x$. The aim of this work is to give graphs of the dynamic system $\Delta$ for $q=2$, $n\le 300$ and $q=3$, $n\le 150$. These results enable us to define more precisely the Arnold hypotheses and to prove them.

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