Classification of normal sequences
Combinatorics
2013-01-22 v1
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.
Keywords
Cite
@article{arxiv.1008.0656,
title = {Classification of normal sequences},
author = {Dragomir Z. Djokovic},
journal= {arXiv preprint arXiv:1008.0656},
year = {2013}
}
Comments
18 pages