Data for Moments of autocorrelation demerit factors of binary sequences

The paper can be found at:

Daniel J. Katz and Miriam E. Ramirez, Moments of autocorrelation demerit factors of binary sequences, Designs, Codes and Cryptography, 93(4):1021-1065 (2025).

A preprint version is available at: arXiv: 2307.14281 [cs.IT]

The work on this paper and on the accompanying materials here were supported in part by the National Science Foundation under Grants 1500856, 1815487, and 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 Miriam E. Ramirez (2025). 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 fifth central moments of the sum of squares of autocorrelation (SSAC). The first central moment is identically zero, and the second and third central moments are computed by hand in the paper. The fourth central moment is reported in the paper, and was not computed by hand. The period and degree of the fifth central moment was also reported in the paper, and was not computed by hand. For P from 1 to 5, the data file cmcssac-m-P.txt has the data for the Pth central moment. For P from 1 to 6, there is also a data file cmcssac-c-P.txt which counts how many isomorphism classes of 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 readme.txt under the heading "THE DATA FILES". The files can be found here.

The program used to make these data files is also discussed in readme.txt under the heading "THE PROGRAM". The program (called cmcssac) can be found in here.