Design of long period pseudo-random sequences from the addition of m-sequences over Fp
EURASIP Journal on Wireless Communications and Networking - Special issue on innovative signal transmission and detection techniques for next generation cellular CDMA systems
Four Families of Binary Sequences with Low Correlation and Large Linear Complexity
Information Security and Cryptology
New Family of Binary Sequences with Low Correlation
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
On the Linear Span of a Binary Sequence Family with Optimal Correlation Properties
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
New Families of Binary Low Correlation Zone Sequences Based on Interleaved Quadratic Form Sequences
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
New M-ary sequence families with low correlation and large size
IEEE Transactions on Information Theory
New classes of optimal frequency-hopping sequences by interleaving techniques
IEEE Transactions on Information Theory
Existence of modular sonar sequences of twin-prime product length
SSC'07 Proceedings of the 2007 international conference on Sequences, subsequences, and consequences
Binary almost-perfect sequence sets
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
New constructions of binary sequences with optimal autocorrelation value/magnitude
IEEE Transactions on Information Theory
Multiplicative characters, the weil bound, and polyphase sequence families with low correlation
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
A novel method for constructing almost perfect polyphase sequences
WCC'05 Proceedings of the 2005 international conference on Coding and Cryptography
New sets of binary and ternary sequences with low correlation
SETA'04 Proceedings of the Third international conference on Sequences and Their Applications
Analysis of designing interleaved ZCZ sequence families
SETA'06 Proceedings of the 4th international conference on Sequences and Their Applications
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New designs for families of sequences over GF(p) with low cross correlation, balance property, and large linear span are presented. The key idea of the new designs is to use short p-ary sequences of period υ with the two-level autocorrelation function together with the interleaved structure to construct a set of long sequences with the desired properties. The resulting sequences are interleaved sequences of period υ2. There are υ cyclically shift distinct sequences in each family. The maximal correlation value is 2υ + 3 which is optimal with respect to the Welch bound. Each sequence in the family is balanced and has large linear span. In particular, for binary case, cross/out-of-phase autocorrelation values belong to the set {1, -υ, υ + 2, 2υ + 3, -2υ - 1}, any sequence where the short sequences are quadratic residue sequences achieves the maximal linear span. It is shown that some families of these sequences can be implemented efficiently in both hardware and software