Affiliation:
1. Department of Pure Mathematics, University of Waterloo, Waterloo, ON, Canada N2L 3G1
Abstract
Base sequences BS(m,n) are quadruples (A;B;C;D) of {±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 δ-function. Normal sequences NS(n) are base sequences (A;B;C;D)∈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.
Funder
Natural Sciences and Engineering Research Council of Canada