A New Family of Ternary Sequences with IdealTwo-level Autocorrelation Function

Authors:
Tor Helleseth;P. Vijay Kumar;Halvard Martinsen
Affiliations:
Department of Informatics, University of Bergen, Høyteknologisenteret, N-5020 Bergen, Norway torh@ii.uib.no;Communication Sciences Institute, EE-Systems, University of Southern California, Los Angeles, CA 90089-2565, USA kumar@tristan.usc.edu;Department of Informatics, University of Bergen, Høyteknologisenteret, N-5020 Bergen, Norway halvard@ii.uib.no
Venue:
Designs, Codes and Cryptography
Year:
2001

Citing 5
Cited 14

Difference Sets and Hyperovals

Designs, Codes and Cryptography
Gauss sums, Jacobi sums, and p-ranks of cyclic difference sets

Journal of Combinatorial Theory Series A
Multiplicative Difference Sets via Additive Characters

Designs, Codes and Cryptography - Special issue on designs and codes—a memorial tribute to Ed Assmus
Binary pseudorandom sequences of period 2n-1 with ideal autocorrelation

IEEE Transactions on Information Theory
Binary pseudorandom sequences of period 2m-1 with ideal autocorrelation generated by the polynomial zd+(z+1)d

IEEE Transactions on Information Theory

A New Family of Cyclic Difference Sets with Singer Parameters in Characteristic Three

Designs, Codes and Cryptography
The invariant factors of some cyclic difference sets

Journal of Combinatorial Theory Series A
Cyclic Relative Difference Sets and their p-Ranks

Designs, Codes and Cryptography
On the p-Ranks and Characteristic Polynomials of Cyclic Difference Sets

Designs, Codes and Cryptography
On the linear complexity of some new q-ary sequences

Information Sciences: an International Journal
Some Notes on d-Form Functions with Difference-Balanced Property

WAIFI '07 Proceedings of the 1st international workshop on Arithmetic of Finite Fields
Results on the Crosscorrelation and Autocorrelation of Sequences

SETA '08 Proceedings of the 5th international conference on Sequences and Their Applications
Optimal and perfect difference systems of sets

Journal of Combinatorial Theory Series A
On the Linear Complexity of Some Ternary Sequences with Ideal Autocorrelation

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
New Sequences with Low Correlation and Large Family Size

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
A survey of the merit factor problem for binary sequences

SETA'04 Proceedings of the Third international conference on Sequences and Their Applications
Recent progress in algebraic design theory

Finite Fields and Their Applications
New three-valued walsh transforms from decimations of helleseth-gong sequences

SETA'12 Proceedings of the 7th international conference on Sequences and Their Applications
Revisiting butson hadamard matrix construction based on a prominent class of pseudo-random sequences

Proceedings of the CUBE International Information Technology Conference

Quantified Score

Hi-index	0.00

Visualization

Abstract

Let α be a primitive element ofF_{3^n}. Letd=3^{2k}-3^k+1 wheren=3k. We show that the ternary sequence\{s(t)\} given bys(t)=Tr_n(\alpha^t+\alpha^{dt}) has a two-level idealautocorrelation function.