Linear complexity and trace representation of quaternary sequences over ${\mathbb{Z}}_4$ based on generalized cyclotomic classes modulo $pq$

Abstract

We define a family of quaternary sequences over the residue class ring modulo $4$ of length $pq$, a product of two distinct odd primes, using the generalized cyclotomic classes modulo $pq$ 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.

16 pages

Cited by in corpus (1)

• Linear complexity of quaternary sequences over Z4 based on Ding-Helleseth generalized cyclotomic classes