On k-error linear complexity of binary sequences derived from Euler quotients modulo 2p
This work provides incremental analysis for cryptographic sequences, relevant to researchers in cryptography and coding theory.
The authors determined the k-error linear complexity for binary sequences derived from Euler quotients modulo 2p, showing these sequences have good cryptographic stability.
We consider the $k$-error linear complexity of binary sequences derived from Eluer quotients modulo $2p$ ($p>3$ is an odd prime), recently introduced by J. Zhang and C. Zhao. We adopt certain decimal sequences to determine the values of $k$-error linear complexity for all $k>0$. Our results indicate that such sequences have good stability from the viewpoint of cryptography.