Department of Pure Mathematics, University of Waterloo, Waterloo, ON, N2L 3G1, Canada
Copyright © 2010 Dragomir Ž. Ðoković. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Base sequences BS
are quadruples of -sequences , with A and B of length and C and D of length n, such that the sum of their nonperiodic autocor-relation functions is a -function. The base sequence conjecture, asserting that BS
exist for all n, is stronger than the famous Hadamard matrix conjecture. We introduce a new definition of equivalence for base sequences BS and construct a canonical form. By using this canonical form, we have enumerated the equivalence classes of BS
for . As the number of equivalence classes grows rapidly (but not monotonically) with n, the tables in the paper cover only the cases .