Zero-Difference Balanced Function Derived from Fermat Quotients and Its Applications

Zhifan YE; Pinhui KE; Shengyuan ZHANG; Zuling CHANG

doi:10.1587/transfun.E98.A.2336

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

Online ISSN : 1745-1337
Print ISSN : 0916-8508

Regular Section

Zero-Difference Balanced Function Derived from Fermat Quotients and Its Applications

Zhifan YE, Pinhui KE, Shengyuan ZHANG, Zuling CHANG

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Keywords: zero-difference balanced function, Fermat quotients, cyclotomy, frequency hopping sequences, perfect difference system

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2015 Volume E98.A Issue 11 Pages 2336-2340

DOI https://doi.org/10.1587/transfun.E98.A.2336

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Abstract

New classes of zero-difference balanced (ZDB) functions derived from Fermat quotients are proposed in this letter. Based on the new ZDB functions, some applications, such as the construction of optimal frequency hopping sequences set and perfect difference systems of sets, are introduced.

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