Study the Multiplication M-sequences and Its Reciprocal Sequences

M-Sequences play a big important role, as the other binary orthogonalsequences, for collection information on input links and distributionthese output of communication channelsand building new systems with more complexity, larger period, andsecurity, through multiplication these sequences. In our article we try tostudy construction sequence {zn}and its linearequivalent, this is multiple two sequences, thefirst sequence{an}is an arbitrary M-sequence second sequence{bn}is not completely different but reciprocal firstsequence {an} that has characteristic polynomialg(x) f(x), which polynomial {an}, also will study linear equivalent multiplicationsequence see length {zn}is equal to ((deg f(x))2 - deg(f(x)).