The paper can be found at: Daniel J. Katz, Aperiodic Crosscorrelation of Sequences Derived from Characters, IEEE Transactions on Information Theory, 62(9): 5237-5259 (2016).
A preprint version is available at: arXiv: 1602.04487 [cs.IT].
This paper and the accompanying materials here are based on work supported in part by the National Science Foundation under Grant DMS 1500856, in part by California State University, Northridge through a Research, Scholarship and Creative Activity Award, and in part by funding from the Natural Sciences and Engineering Research Council of Canada through a grant awarded to Jonathan Jedwab.
Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author 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 (2016). 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
The data files used to produce each figure in the paper (along with summary files that describe how to read the data file) are organized by Figure number and can be found in the data directory. An overall description of the contents is in the readme.txt instructions.
| Figure Number | Figure Element | Data Filenames |
|---|---|---|
| 1 | histogram | f-2-to-8-cross-nontriv.txt f-2-to-8-summary.txt |
| 2 | first histogram | f-2-to-8-cross-rev.txt f-2-to-8-summary.txt |
| second histogram | f-2-to-8-cross-other.txt f-2-to-8-summary.txt | |
| 3 | first graph | f-2-to-9-other-rotation.txt f-2-to-9-other-summary.txt |
| second graph | f-2-to-9-rev-rotation.txt f-2-to-9-rev-summary.txt | |
| 4 | first graph | f-3-to-6-other-rotation.txt f-3-to-6-other-summary.txt |
| second graph | f-3-to-6-rev-rotation.txt f-3-to-6-rev-summary.txt | |
| 5 | first graph | f-2-to-9-app-other-rotation.txt f-2-to-9-app-other-summary.txt |
| second graph | f-2-to-9-app-rev-rotation.txt f-2-to-9-app-rev-summary.txt | |
| 6 | first graph | f-2-to-9-trunc-other-rotation.txtf-2-to-9-trunc-other-summary.txt |
| second graph | f-2-to-9-trunc-rev-rotation.txt f-2-to-9-trunc-rev-summary.txt | |
| 7 | graph | legendre-257-trunc-rotation.txt legendre-257-trunc-summary.txt |
| 8 | graph | legendre-257-half-rotation.txt legendre-257-half-summary.txt |
The programs used to produce the data files are found in the program directory. They are described in the readme.txt instructions. The executable codes are compiled for the AMD64 architecture under GNU/Linux.
| Figure Numbers | Figure Elements | Program |
|---|---|---|
| 1-2 | histograms | mseq-survey |
| 3-6 | graphs | mseq-rotation |
| 7-8 | graphs | mult-rotation |