New Cyclic Difference Sets with Singer Parameters Constructed from d-Homogeneous Functions
Designs, Codes and Cryptography
Two-tuple balance of non-binary sequences with ideal two-level autocorrelation
Discrete Applied Mathematics
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
On the Linear Complexity of Some Ternary Sequences with Ideal Autocorrelation
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Optimal authentication codes from difference balanced functions
SETA'10 Proceedings of the 6th international conference on Sequences and their applications
Sequences and functions derived from projective planes and their difference sets
WAIFI'12 Proceedings of the 4th international conference on Arithmetic of Finite Fields
Odd perfect sequences and sets of spreading sequences with zero or low odd periodic correlation zone
SETA'12 Proceedings of the 7th international conference on Sequences 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
| Hi-index | 754.84 |
We find new families of nonbinary sequences of period pn-1 with symbols from a finite field Fp for any prime p⩾3. The sequences have two-level ideal autocorrelation and are generalizations of previously found ternary sequences with ideal autocorrelation. Difference sets with parameters ((pn-1)/(p-1), (pn-1-1)/(p-1), (pn-2-1)/(p-1)) can also be derived from these sequences in a natural way