Constructions of External Difference Families and Disjoint Difference Families
Designs, Codes and Cryptography
Designs, Codes and Cryptography
Codebooks from almost difference sets
Designs, Codes and Cryptography
Constructions of partitioned difference families
European Journal of Combinatorics
Binary Sequences with Three and Four Level Autocorrelation
Computational Intelligence and Security
Binary sequences with optimal autocorrelation
Theoretical Computer Science
The perfect binary sequence of period 4 for low periodic and aperiodic autocorrelations
SSC'07 Proceedings of the 2007 international conference on Sequences, subsequences, and consequences
The cross-correlation of binary sequences with optimal autocorrelation
IEEE Transactions on Information Theory
Rapid sequence homology assessment by subsampling the genome space using difference sets
IEEE Transactions on Information Theory - Special issue on information theory in molecular biology and neuroscience
Binary almost-perfect sequence sets
IEEE Transactions on Information Theory
The linear complexity of some binary sequences with three-level autocorrelation
IEEE Transactions on Information Theory
New constructions of binary sequences with optimal autocorrelation value/magnitude
IEEE Transactions on Information Theory
Optimal partitioned cyclic difference packings for frequency hopping and code synchronization
IEEE Transactions on Information Theory
The linear complexity of binary sequences with optimal autocorrelation
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Optimal difference systems of sets and partition-type cyclic difference packings
Designs, Codes and Cryptography
Strongly regular graphs constructed from p-ary bent functions
Journal of Algebraic Combinatorics: An International Journal
Construction of cyclotomic codebooks nearly meeting the Welch bound
Designs, Codes and Cryptography
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Almost difference sets have interesting applications in cryptography and coding theory. We give a well-rounded treatment of known families of almost difference sets, establish relations between some difference sets and some almost difference sets, and determine the numerical multiplier group of some families of almost difference sets. We also construct six new classes of almost difference sets, and four classes of binary sequences of period n≡0 (mod 4) with optimal autocorrelation. We have also obtained two classes of relative difference sets and four classes of divisible difference sets (DDSs). We also point out that a result due to Jungnickel (1982) can be used to construct almost difference sets and sequences of period 4l with optimal autocorrelation