The paper is Daniel J. Katz and Harmony M. Vargas, "Moments of autocorrelation demerit factors of binary sequences" (2026).
A preprint version is available at: arXiv: 2609.05771 [cs.IT].
The work on this paper and on the accompanying materials here were supported in part by the National Science Foundation under Grant 2206454.
Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.
The copyright for all material posted on this web page is held by Daniel J. Katz and Harmony M. Vargas (2026). All rights reserved. If you are interested in using this for your research, please contact me at email: [my first name] [dot] [my last name] [at] csun [dot] edu
We present data files that can be used to find the first through sixth central moments of the sum of squares of crosscorrelation (SSCC). The first central moment is identically zero, and the second and third central moments are computed by hand in the paper. The fourth through sixth central moments are reported in the paper, and were not computed by hand. For P from 1 to 6, the data file cmcsscc-m-P.txt has the data for the Pth central moment. For P from 1 to 6, there is also a data file cmcsscc-c-P.txt which counts how many coherent coherent isomorphism classes of coherently contributory partitions there are in the calculation of the Pth central moment (but these files do not have a computation of the moment itself). A description of the contents of these data files is in the readme.txt instructions under the heading "THE DATA FILES". The files can be found in the data directory.
The program used to make these data files is also discussed in the readme.txt instructions under the heading "THE PROGRAM". The program (called cmcsscc) can be found in the program directory.