The linear complexity of generalized cyclotomic sequences with period \(2p^n\)
We found the linear complexity of generalized cyclotomic sequences with period \(2p^n\) based on quadratic, biquadratic and partially sextic residues. Our method is based on the generating the polynomial of the classical cyclotomic sequences, which allows us to obtain some well-known results and also some new results.
linear complexity binary sequences generalized cyclotomy 11b50 94a55 94a60