IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508
Special Section on Discrete Mathematics and Its Applications
Distribution of Digit Patterns in Multi-Value Sequence over the Odd Characteristic Field
Yuta KODERATakeru MIYAZAKIMd. Al-Amin KHANDAKERMd. Arshad ALITakuya KUSAKAYasuyuki NOGAMISatoshi UEHARA
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2018 Volume E101.A Issue 9 Pages 1525-1536

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Abstract

The authors have proposed a multi-value sequence called an NTU sequence which is generated by a trace function and the Legendre symbol over a finite field. Most of the properties for NTU sequence such as period, linear complexity, autocorrelation, and cross-correlation have been theoretically shown in our previous work. However, the distribution of digit patterns, which is one of the most important features for security applications, has not been shown yet. In this paper, the distribution has been formulated with a theoretic proof by focusing on the number of 0's contained in the digit pattern.

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© 2018 The Institute of Electronics, Information and Communication Engineers
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