Study the Multiplication M-sequences and Its Reciprocal Sequences  

作　　者：Ahmad Al Cheikha Ebtisam Haj Omar 

机构地区：[1]Math.Sci.Dep.,Ahlia Uni.,Bahrain [2]Elect.Energy Dep.,Tishreen Univ,Syria

出　　处：《Journal of Electronic & Information Systems》2021年第1期13-22,共10页电子信息系统杂志（英文）

摘　　要：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)).

关 键 词：Binary sequences Finite fields Shift register Equivalent binary linear shift register Degree of complexit 

分 类 号：O15[理学—数学]