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New Perfect Sequences from Helleseth-Gong Sequences
Yong WANG Yang YANG
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2018/12/01
Online ISSN: 1745-1337
Type of Manuscript: Special Section LETTER (Special Section on Signal Design and Its Applications in Communications)
Category: Communication Theory and Signals
perfect sequences, Helleseth-Gong sequences, difference system of sets, difference balanced property, d-form property,
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In this paper, for any given prime power q, using Helleseth-Gong sequences with ideal auto-correlation property, we propose a class of perfect sequences of length (qm-1)/(q-1). As an application, a subclass of constructed perfect sequences is used to design optimal and perfect difference systems of sets.