Partial direct product difference sets and almost quaternary sequences
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Publication:6167284
DOI10.3934/amc.2021010zbMath1514.05028OpenAlexW3160795562MaRDI QIDQ6167284
Publication date: 7 July 2023
Published in: Advances in Mathematics of Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/amc.2021010
autocorrelationquaternary sequencenearly perfect sequencecyclotomic classespartial direct product difference set
Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)
Cites Work
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- Nearly perfect sequences with arbitrary out-of-phase autocorrelation
- New cyclic difference sets with Singer parameters
- On non-existence of perfect and nearly perfect sequences
- Binary sequences with optimal autocorrelation
- Generalized bent functions and their properties
- Perfect and almost perfect sequences
- Difference sets and hyperovals
- Some new balanced and almost balanced quaternary sequences with low autocorrelation
- Finite geometry and character theory
- On \((p^ a,p,p^ a,p^{a-1})\)-relative difference sets
- Almost \(p\)-ary sequences
- New families of optimal high-energy ternary sequences having good correlation properties
- Graphs of vectorial plateaued functions as difference sets
- Almost Six-Phase Sequences with Perfect Periodic Autocorrelation Function
- Character Sum Factorizations Yield Sequences With Ideal Two-Level Autocorrelation
- The Proof of Lin’s Conjecture via the Decimation-Hadamard Transform
- A Survey of Difference Sets
- A Family of Difference Sets
- On the Autocorrelation Distributions of Sidel'nikov Sequences
- Almost p-Ary Perfect Sequences
- New Binary Sequences With Optimal Autocorrelation Magnitude
- 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
- Almost difference sets and their sequences with optimal autocorrelation
- New nonbinary sequences with ideal two-level autocorrelation
- On Orthogonal Matrices
- Cyclotomy, Higher Congruences, and Waring's Problem
- Quaternary Constant-Amplitude Codes for Multicode CDMA
- New Constructions of Binary Sequences With Optimal Autocorrelation Value/Magnitude
- New Classes of Balanced Quaternary and Almost Balanced Binary Sequences With Optimal Autocorrelation Value
- A new family of ternary sequences with ideal two-level autocorrelation function
