Quaternary Codes and Biphase Sequences from $$\mathbb{Z}_8 $$ -Codes

Quaternary Codes and Biphase Sequences from $$\mathbb{Z}_8 $$ -Codes Composing the Carlet map with the inverse Gray map, a new family of cyclic quaternary codes is constructed from 5-cyclic $$\mathbb{Z}_8 $$ -codes. This new family of codes is inspired by the quaternary Shanbag–Kumar–Helleseth family, a recent improvement on the Delsarte–Goethals family. We conjecture that these $$\mathbb{Z}_4 $$ -codes are not linear. As applications, we construct families of low-correlation quadriphase and biphase sequences. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

Quaternary Codes and Biphase Sequences from $$\mathbb{Z}_8 $$ -Codes

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Publisher
Kluwer Academic Publishers-Plenum Publishers
Copyright
Copyright © 2004 by MAIK “Nauka/Interperiodica”
Subject
Engineering; Communications Engineering, Networks; Electrical Engineering; Information Storage and Retrieval; Systems Theory, Control
ISSN
0032-9460
eISSN
1608-3253
D.O.I.
10.1023/B:PRIT.0000043928.91210.68
Publisher site
See Article on Publisher Site

Abstract

Composing the Carlet map with the inverse Gray map, a new family of cyclic quaternary codes is constructed from 5-cyclic $$\mathbb{Z}_8 $$ -codes. This new family of codes is inspired by the quaternary Shanbag–Kumar–Helleseth family, a recent improvement on the Delsarte–Goethals family. We conjecture that these $$\mathbb{Z}_4 $$ -codes are not linear. As applications, we construct families of low-correlation quadriphase and biphase sequences.

Journal

Problems of Information TransmissionSpringer Journals

Published: Dec 16, 2004

References

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