A mathematical development of gordon, mills and welch generator using galois field and trace polynomials

الملخص EN

The paper presents a newly developed method depending on trace polynomial with new algorithm which has been written in Matlab language to modify the Gordon, Mills and Welch generator by increasing the complexity of the output sequence to increase the security of this generator concerning the designed feature that limits the ability of anti-jammer.

Good results are obtained compared with Gordon, Mills and Welch generator using Berlekamp-Massey method for determining the complexity of the output sequences.

Moreover, this paper has the useful properties of the trace function.

Some examples are given of show conciliated the results of this proposed method.