Abstract High-Efficiency Video Coding (HEVC) is the most recent video codec standard. It is
substantial to analyze the HEVC steganography process due to its practical and academic …

A class of binary sequences with period 2 p is constructed using generalized cyclotomic
classes, and their linear complexity, minimal polynomial over F q as well as 2-adic …

In this paper we derive the linear complexity of binary sequences of length 2 p with optimal
three-level autocorrelation. These almost balanced and balanced sequences are …

In this paper, we derive the linear complexity of Hall's sextic residue sequences over the
finite field of odd prime order. The order of the field is not equal to a period of the sequence …

We investigate three classes of Ding-Helleseth-generalized cyclotomic sequences of length
pq. We derive the linear complexity and the minimal polynomial of above-mentioned …

Due to their nice algebraic structures and pseudorandom features, generalized cyclotomic
sequences have wide applications in simulation, coding and cryptography. Based on the …

Linear complexity is an important property to measure the unpredictability of pseudo-random
sequences. Trace representation is helpful for analyzing cryptography properties of pseudo …

Using of cyclotomic classes to construct sequences, which are called cyclotomic sequences,
is an important method for sequence design. The linear complexity LC of a sequence is an …

A class of binary sequences with period $2 p $ is constructed using generalized cyclotomic
classes, and their linear complexity, minimal polynomial over ${\mathbb {F} _ {{q}}} $ as well …

Let r be an odd prime, such that r≥ 5 and r≠ p, m be the order of r modulo p. Then, there
exists a 2p th root of unity in the extension field F r m. Let G (x) be the generating polynomial …