2 research outputs found
Linear complexity and trace representation of quaternary sequences over based on generalized cyclotomic classes modulo
We define a family of quaternary sequences over the residue class ring modulo
of length , a product of two distinct odd primes, using the generalized
cyclotomic classes modulo and calculate the discrete Fourier transform
(DFT) of the sequences. The DFT helps us to determine the exact values of
linear complexity and the trace representation of the sequences.Comment: 16 page
Corrigendum to New Generalized Cyclotomic Binary Sequences of Period
New generalized cyclotomic binary sequences of period are proposed in
this paper, where is an odd prime. The sequences are almost balanced and
their linear complexity is determined. The result shows that the proposed
sequences have very large linear complexity if is a non-Wieferich prime.Comment: In the appended corrigendum, we pointed out that the proof of Lemma 6
in the paper only holds for and gave a proof for any when
is a non-Wieferich prim