Realizations from decimation hadamard transform for special classes of binary sequences with two-level autocorrelation

Authors:
Nam Yul Yu;Guang Gong
Affiliations:
Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, Ontario, Canada;Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, Ontario, Canada
Venue:
WCC'05 Proceedings of the 2005 international conference on Coding and Cryptography
Year:
2005

Citing 6
Cited 2

Shift Register Sequences

Shift Register Sequences
Signal Design for Good Correlation: For Wireless Communication, Cryptography, and Radar

Signal Design for Good Correlation: For Wireless Communication, Cryptography, and Radar
Q-ary cascaded GMW sequences

IEEE Transactions on Information Theory
Trace representation of Legendre sequences of Mersenne prime period

IEEE Transactions on Information Theory - Part 2
The decimation-Hadamard transform of two-level autocorrelation sequences

IEEE Transactions on Information Theory
New cyclic difference sets with Singer parameters

Finite Fields and Their Applications

Abelian difference sets of order n dividing λ

Designs, Codes and Cryptography
Low autocorrelation binary sequences: Number theory-based analysis for minimum energy level, Barker codes

Digital Signal Processing

Quantified Score

Hi-index	0.00

Visualization

Abstract

In an effort to search for a new binary two-level autocorrelation sequence, the decimation-Hadamard transform (DHT) based on special classes of known binary sequences with two-level autocorrelation is investigated. In the second order DHT of a binary generalized Gordon-Mills-Welch (GMW) sequence, we show that there exist realizations which can be theoretically determined by the second order DHT in its subfield. Furthermore, we show that complete realizations of any binary two-level autocorrelation sequence with respect to a quadratic residue (QR) sequence by the second order DHT are theoretically determined.