New three-valued walsh transforms from decimations of helleseth-gong sequences

Authors:
Guang Gong;Tor Helleseth;Honggang Hu;Chunlei Li
Affiliations:
Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, Ontario, Canada;The Selmer Center, Department of Informatics, University of Bergen, Bergen, Norway;School of Information Science and Technology, University of Science and Technology of China, Hefei, China;The Selmer Center, Department of Informatics, University of Bergen, Bergen, Norway
Venue:
SETA'12 Proceedings of the 7th international conference on Sequences and Their Applications
Year:
2012

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Abstract

Recently, starting from Helleseth-Gong sequences, Gong, Helleseth, and Hu found many decimation numbers which yield three-valued Walsh transforms by computer search. They proved two cases. In this paper, we prove two more cases with new observations.