M_(p)-Sequences or M-Sequence over Fp not used so much in current time as binary M-Sequences and it is pending with the difficult to construct there coders and decoders of M_(p)-Sequences further these reasons there i...M_(p)-Sequences or M-Sequence over Fp not used so much in current time as binary M-Sequences and it is pending with the difficult to construct there coders and decoders of M_(p)-Sequences further these reasons there is expensive values to construct them but the progress in the technical methods will be lead to fast using these sequences in different life’s ways,and these sequences give more collection of information and distribution them on the input and output links of the communication channels,building new systems with more complexity,larger period,and security.In current article we will study the construction of the multiplication M_(p)-Sequence{z_(n)}and its linear equivalent,this sequences are as multiple two sequences,the first sequence{Sn}is an arbitrary M_(p)-Sequence and the second sequence{ζ_(n)}reciprocal sequence of the first sequence{S_(n)},length of the sequence{z_(n)},period,orthogonal and the relations between the coefficients and roots of the characteristic polynomial of f(x)and it’s reciprocal polynomial g(x)and compare these properties with corresponding properties in M-Sequences.展开更多
M-Sequences play a big important role,as the other binary orthogonal sequences,for collection the information on the input links and distribution these information on the output links of the communication channels and...M-Sequences play a big important role,as the other binary orthogonal sequences,for collection the information on the input links and distribution these information on the output links of the communication channels and for building new systems with more complexity,larger period,and security,through multiplication these sequences.In our article we try to study the construction of the multiplication sequence{zn}and its linear equivalent,this multiplication sequence is as multiple two sequences,the first sequence{an}is an arbitrary M-sequence and the second sequence{bn}is not completely different but is the reciprocal sequence of the first sequence{an}that is the reciprocal sequence has characteristic polynomial g(x)is reciprocal of f(x),which is the characteristic polynomial of the first sequence{an},also we will study the linear equivalent of the multiplication sequence{zn}and we will see that the length of the linear equivalent of{zn}is equal to((deg f(x))^(2)-deg(f(x)).展开更多
文摘M_(p)-Sequences or M-Sequence over Fp not used so much in current time as binary M-Sequences and it is pending with the difficult to construct there coders and decoders of M_(p)-Sequences further these reasons there is expensive values to construct them but the progress in the technical methods will be lead to fast using these sequences in different life’s ways,and these sequences give more collection of information and distribution them on the input and output links of the communication channels,building new systems with more complexity,larger period,and security.In current article we will study the construction of the multiplication M_(p)-Sequence{z_(n)}and its linear equivalent,this sequences are as multiple two sequences,the first sequence{Sn}is an arbitrary M_(p)-Sequence and the second sequence{ζ_(n)}reciprocal sequence of the first sequence{S_(n)},length of the sequence{z_(n)},period,orthogonal and the relations between the coefficients and roots of the characteristic polynomial of f(x)and it’s reciprocal polynomial g(x)and compare these properties with corresponding properties in M-Sequences.
文摘M-Sequences play a big important role,as the other binary orthogonal sequences,for collection the information on the input links and distribution these information on the output links of the communication channels and for building new systems with more complexity,larger period,and security,through multiplication these sequences.In our article we try to study the construction of the multiplication sequence{zn}and its linear equivalent,this multiplication sequence is as multiple two sequences,the first sequence{an}is an arbitrary M-sequence and the second sequence{bn}is not completely different but is the reciprocal sequence of the first sequence{an}that is the reciprocal sequence has characteristic polynomial g(x)is reciprocal of f(x),which is the characteristic polynomial of the first sequence{an},also we will study the linear equivalent of the multiplication sequence{zn}and we will see that the length of the linear equivalent of{zn}is equal to((deg f(x))^(2)-deg(f(x)).
