Generalization of Multiplication M-Sequences over Fp and Its Recip­rocal Sequences  

作　　者：Ahmad Al Cheikha Ebtisam Haj Omar 

机构地区：[1]Department of Math Science,Ahlia University,Bahrain [2]Department of Electronic Energy,Tishreen University,Syria

出　　处：《Journal of Electronic & Information Systems》2021年第2期33-43,共11页电子信息系统杂志（英文）

摘　　要：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.

关 键 词：Mp-Sequences Finite fields Shift register Orthogonal Complexity Characteristic polynomial Reciprocal polynomial 

分 类 号：O15[理学—数学]