Signal Design for Good Correlation: For Wireless Communication, Cryptography, and Radar
Signal Design for Good Correlation: For Wireless Communication, Cryptography, and Radar
Wieferich pairs and barker sequences
Designs, Codes and Cryptography
Binary pseudorandom sequences of period 2n-1 with ideal autocorrelation
IEEE Transactions on Information Theory
Several classes of binary sequences with three-level autocorrelation
IEEE Transactions on Information Theory
New families of binary sequences with optimal three-level autocorrelation
IEEE Transactions on Information Theory
New construction for binary sequences of period pm-1 with optimal autocorrelation using (z+1)d+azd+b
IEEE Transactions on Information Theory
Almost difference sets and their sequences with optimal autocorrelation
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Binary and quadriphase sequences with optimal autocorrelation properties: a survey
IEEE Transactions on Information Theory
A new family of almost difference sets and some necessary conditions
IEEE Transactions on Information Theory
New Binary Sequences With Optimal Autocorrelation Magnitude
IEEE Transactions on Information Theory
Theory and applications of q-ary interleaved sequences
IEEE Transactions on Information Theory
New cyclic difference sets with Singer parameters
Finite Fields and Their Applications
IEEE Transactions on Information Theory
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In this paper, we give three new constructions of binary sequences of period 4N with optimal autocorrelation value or optimal autocorrelation magnitude using N × 4 interleaved sequences. Yu and Gong recently found any binary sequence of period 4N with optimal autocorrelation value constructed from an almost difference set by Arasu et al. is an N × 4 interleaved sequence for which all four columns in its N × 4 array are shift equivalent up to the complement. We found that it is not necessary that four columns are shift equivalent. Instead, it could be a pair of related sequences together with their shifts as the column sequences. The first construction is to use a generalized GMW sequence of period N = 22k - 1 and its modified version, the second construction is to use a twin prime sequence of length N = p(p+2) and its modified version, and the third construction, a pair of Legendre sequences of period N = p (p odd prime) with their respective first terms complementary (the 2-level autocorrelation property is not needed for the Legendre sequence). The comparison with the known constructions are given. For the new sequences with optimal autocorrelation value, their corresponding new almost difference sets are also derived.