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.
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Yong WANG, Yang YANG, "New Perfect Sequences from Helleseth-Gong Sequences" in IEICE TRANSACTIONS on Fundamentals,
vol. E101-A, no. 12, pp. 2392-2396, December 2018, doi: 10.1587/transfun.E101.A.2392.
Abstract: 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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E101.A.2392/_p
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@ARTICLE{e101-a_12_2392,
author={Yong WANG, Yang YANG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={New Perfect Sequences from Helleseth-Gong Sequences},
year={2018},
volume={E101-A},
number={12},
pages={2392-2396},
abstract={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.},
keywords={},
doi={10.1587/transfun.E101.A.2392},
ISSN={1745-1337},
month={December},}
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TY - JOUR
TI - New Perfect Sequences from Helleseth-Gong Sequences
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2392
EP - 2396
AU - Yong WANG
AU - Yang YANG
PY - 2018
DO - 10.1587/transfun.E101.A.2392
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E101-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 2018
AB - 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.
ER -