A Mathematical Development of Gordon, Mills and Welch Generator Using Galois Field and Trace Polynomials


The paper presents a newly developed method depending on tracepolynomial with new algorithm which has been written in Matlab language tomodify the Gordon, Mills and Welch generator by increasing the complexityof the output sequence to increase the security of this generator concerningthe designed feature that limits the ability of anti-jammer. Good results areobtained compared with Gordon, Mills and Welch generator usingBerlekamp-Massey method for determining the complexity of the outputsequences. Moreover, this paper has the useful properties of the tracefunction. Some examples are given of show conciliated the results of thisproposed method.