25 research outputs found
New Optimal Binary Sequences with Period via Interleaving Ding-Helleseth-Lam Sequences
Binary sequences with optimal autocorrelation play important roles in radar,
communication, and cryptography. Finding new binary sequences with optimal
autocorrelation has been an interesting research topic in sequence design.
Ding-Helleseth-Lam sequences are such a class of binary sequences of period
, where is an odd prime with . The objective of this
letter is to present a construction of binary sequences of period via
interleaving four suitable Ding-Helleseth-Lam sequences. This construction
generates new binary sequences with optimal autocorrelation which can not be
produced by earlier ones
Strongly Regular Graphs Constructed from -ary Bent Functions
In this paper, we generalize the construction of strongly regular graphs in
[Y. Tan et al., Strongly regular graphs associated with ternary bent functions,
J. Combin.Theory Ser. A (2010), 117, 668-682] from ternary bent functions to
-ary bent functions, where is an odd prime. We obtain strongly regular
graphs with three types of parameters. Using certain non-quadratic -ary bent
functions, our constructions can give rise to new strongly regular graphs for
small parameters.Comment: to appear in Journal of Algebraic Combinatoric