Linear complexity and trace representation of quaternary sequences over $\mathbb{Z}_4$ based on generalized cyclotomic classes modulo $pq$
Number Theory
2016-03-15 v1 Cryptography and Security
Abstract
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.
Cite
@article{arxiv.1511.04012,
title = {Linear complexity and trace representation of quaternary sequences over $\mathbb{Z}_4$ based on generalized cyclotomic classes modulo $pq$},
author = {Zhixiong Chen},
journal= {arXiv preprint arXiv:1511.04012},
year = {2016}
}
Comments
16 pages