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arXiv · 1008.0656

Classification of normal sequences

Dragomir Z. Djokovic
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Abstract

Base sequences BS(m,n) are quadruples (A;B;C;D) of {+1,-1}-sequences, with A and B of length m and C and D of length n, such that the sum of their nonperiodic autocorrelation functions is a delta-function. Normal sequences NS(n) are base sequences (A;B;C;D) in BS(n,n) such that A=B. We introduce a definition of equivalence for normal sequences NS(n), and construct a canonical form. By using this canonical form, we have enumerated the equivalence classes of NS(n) for n <= 40.

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Dragomir Z. Djokovic. 2010-08-03. Classification of normal sequences. https://doi.org/10.1155/2011%2F937941

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