Binary sequences with optimal autocorrelation
From MaRDI portal
Publication:1019710
DOI10.1016/j.tcs.2009.02.021zbMath1170.94008OpenAlexW2087838526MaRDI QIDQ1019710
Publication date: 4 June 2009
Published in: Theoretical Computer Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.tcs.2009.02.021
Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Other combinatorial number theory (11B75) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)
Related Items (23)
2-adic complexity of two constructions of binary sequences with period \(4N\) and optimal autocorrelation magnitude ⋮ Optimal and efficient designs for fMRI experiments via two-level circulant almost orthogonal arrays ⋮ A kind of quaternary sequences of period \(2 p^m q^n\) and their linear complexity ⋮ The linear complexity of a class of binary sequences with optimal autocorrelation ⋮ Almost difference sets in nonabelian groups ⋮ Two Boolean Functions with Five-Valued Walsh Spectra and High Nonlinearity ⋮ Generic construction of Boolean functions with a few Walsh transform values of any possible algebraic degree ⋮ Correlation properties of interleaved Legendre sequences and Ding-Helleseth-Lam sequences ⋮ Partial direct product difference sets and almost quaternary sequences ⋮ The exact autocorrelation distribution and 2-adic complexity of a class of binary sequences with almost optimal autocorrelation ⋮ New quaternary sequences with optimal odd-periodic autocorrelation magnitude ⋮ On three conjectures of binary sequences with low odd-periodic autocorrelation ⋮ Sequences with small correlation ⋮ On the linear complexity and the autocorrelation of generalized cyclotomic binary sequences of length \(2p^m\) ⋮ A note on binary sequence pairs with two-level correlation ⋮ Some new balanced and almost balanced quaternary sequences with low autocorrelation ⋮ The linear complexity of a class of binary sequences with period \(2p\) ⋮ New optimal binary sequences with period \(4p\) via interleaving Ding-Helleseth-Lam sequences ⋮ Binary periodic sequences with 2-level autocorrelation values ⋮ Permutation polynomials of the form \(L(x) + S_{2k}^a + S_{2k}^b\) over \(\mathbb{F}_{q^{3k}}\) ⋮ On pseudorandom subsets in finite fields. I: Measure of pseudorandomness and support of Boolean functions ⋮ Construction of a near-optimal quasi-complementary sequence set from almost difference set ⋮ On the equivalence of several classes of quaternary sequences with optimal autocorrelation and length \(2p\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- New cyclic difference sets with Singer parameters
- Perfect and almost perfect sequences
- Difference sets and hyperovals
- Finite geometry and character theory
- Cyclic difference sets
- A Survey of Difference Sets
- Some New Difference Sets
- A class of balanced binary sequences with optimal autocorrelation properties
- Binary pseudorandom sequences of period 2/sup m/-1 with ideal autocorrelation generated by the polynomial z/sup d/+(z+1)/sup d/
- Several classes of binary sequences with three-level autocorrelation
- New families of binary sequences with optimal three-level autocorrelation
- New construction for binary sequences of period p/sup m/-1 with optimal autocorrelation using (z+1)/sup d/+az/sup d/+b
- Autocorrelation values of generalized cyclotomic sequences of order two
- On Orthogonal Matrices
This page was built for publication: Binary sequences with optimal autocorrelation
