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Zero-Difference Balanced Function Derived from Fermat Quotients and Its Applications
Zhifan YE Pinhui KE Shengyuan ZHANG Zuling CHANG
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2015/11/01
Online ISSN: 1745-1337
Type of Manuscript: LETTER
Category: Cryptography and Information Security
zero-difference balanced function, Fermat quotients, cyclotomy, frequency hopping sequences, perfect difference system,
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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.