Shift-inequivalent decimations of the Sidelnikov-Lempel-Cohn-Eastman sequences
DOI10.1007/s10623-019-00697-8zbMath1433.05053arXiv1809.04010OpenAlexW2998709205MaRDI QIDQ2302157
Publication date: 25 February 2020
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.04010
Gauss sumsdifference setsCDMAcross-correlationautocorrelationJacobi sumsalmost difference setsfeedback shift registersSidel'nikov sequencesSidelnikov-Lempel-Cohn-Eastman sequences
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Exponential sums (11T23) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Sequences (mod (m)) (11B50)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Gauss sums, Jacobi sums, and \(p\)-ranks of cyclic difference sets
- Some results on multipliers and numerical multiplier groups of difference sets
- On the linear complexity of the Sidelnikov-Lempel-Cohn-Eastman sequences
- Character values of the Sidelnikov-Lempel-Cohn-Eastman sequences
- Character sums and difference sets
- Cyclic difference sets
- Decomposition fields of difference sets
- Cyclic projective planes
- Hankel Weighing Matrices
- New <inline-formula> <tex-math notation="LaTeX">$M$ </tex-math></inline-formula>-Ary Sequence Families With Low Correlation From the Array Structure of Sidelnikov Sequences
- Algebraic Shift Register Sequences
- Cross Correlation of Sidel'nikov Sequences and Their Constant Multiples
- New Design of Quaternary Low-Correlation Zone Sequence Sets and Quaternary Hadamard Matrices
- Some New Difference Sets
- On fast M-sequence transforms (Corresp.)
- Generators and irreducible polynomials over finite fields
- Almost difference sets and their sequences with optimal autocorrelation
- On the pure Jacobi sums
- A Construction of a New Family of $M$-ary Sequences With Low Correlation From Sidel'nikov Sequences
- Multiplicative Characters, the Weil Bound, and Polyphase Sequence Families With Low Correlation
- New Construction of $M$-Ary Sequence Families With Low Correlation From the Structure of Sidelnikov Sequences
This page was built for publication: Shift-inequivalent decimations of the Sidelnikov-Lempel-Cohn-Eastman sequences
