A new method to compute sequence correlations over finite fields

Boztaş, Serdar and Özbudak, Ferruh and Tekin, Eda (2023) A new method to compute sequence correlations over finite fields. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, E106.A (12). pp. 1461-1469. ISSN 0916-8508 (Print) 1745-1337 (Online)

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Abstract

In this paper we obtain a new method to compute the correlation values of two arbitrary sequences defined by a mapping from F4n to F4. We apply this method to demonstrate that the usual nonbinary maximal length sequences have almost ideal correlation under the canonical complex correlation definition and investigate some decimations giving good cross correlation. The techniques we develop are of independent interest for future investigation of sequence design and related problems, including Boolean functions.
Item Type: Article
Uncontrolled Keywords: CDMA; correlation; sequence design; wireless communications
Divisions: Faculty of Engineering and Natural Sciences
Depositing User: Ferruh Özbudak
Date Deposited: 06 Jun 2024 23:03
Last Modified: 06 Jun 2024 23:03
URI: https://research.sabanciuniv.edu/id/eprint/49487

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