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A new class of ternary and quaternary sequences with two-level autocorrelation

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2 Author(s)
Honggang Hu ; Dept. of Electr. & Comput. Eng., Univ. of Waterloo, Waterloo, ON, Canada ; Guang Gong

Pseudorandom sequences with good correlation properties are widely used in communications and cryptography. The search of new sequences with two-level autocorrelation has been a very interesting problem for decades. In 2002, Gong and Golomb proposed the iterative decimation-Hadamard transform (DHT) which is an useful tool to study two-level autocorrelation sequences. They showed that for all odd n ≤ 17, using the second-order decimation-Hadamard transform, and starting with a single binary m-sequence, all known two-level autocorrelation sequences of period 2n - 1 which have no subfield factorization can be obtained. In this paper, we present a new class of ternary or quaternary sequences with two-level autocorrelation using the second-order decimation-Hadamard transform. The period of such sequences is 2n - 1.

Published in:
Information Theory Proceedings (ISIT), 2010 IEEE International Symposium on

Date of Conference: 13-18 June 2010

Page(s):
1292 - 1296
E-ISBN :
978-1-4244-7891-0
Print ISBN:
978-1-4244-7890-3
INSPEC Accession Number:
11445916
Conference Location :
Austin, TX
Digital Object Identifier :
10.1109/ISIT.2010.5513718
Product Type:
Conference Publications

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