Ahmad Al Cheikha
Assistant Professor at Ahlia University
Ebtisam Haj Omar
Tishreen Univ, Syria
Mp-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 Mp-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 Mp-Sequence {zn}and its linear equivalent, this sequences are as multiple two sequences, the first sequence{Sn}is an arbitrary Mp-Sequence and the second sequence {ζn} reciprocal sequence of the first sequence {Sn}, length of the sequence {zn}, 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.
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[3] Mokayes D. Al Cheikha A. H., (2021- February) Study the Linear Equivalent of Nonlinear Sequences over Fp Where p is larger than two, International Journal of Information and Communication Sciences, ISSN: 2575-1700, Vol. 5, Issue 4, pp 53-75
[4] Al Cheikha A. H. (September,2014). Some Properties of M-Sequences Over Finite Field Fp. International Journal of Computer Engineering & Technology. IJCET. ISSN 0976-6367(Print),ISSN 0976 - 6375(Online),Vol.5, Issue 9. Pp. 61- 72.
[5] Al Cheikha A. H. (May 2014), “ Matrix Representation of Groups in the finite Fields GF(p n ) ”International Journal of Soft Computing and Engineering, Vol. 4, Issue 2, PP 118-125.
[6] Al Cheikha A. H. (2018).Generation New Binary Sequences using Quotient Ring Z/pm Z. Research Journal of Mathematics and Computer Science. RJMCS. ISSN: 2576 -3989, Vol.2, Issue 11. Pp. 0001- 0013.
[7] Al Cheikha, A. H., (2019), Placement of M-Sequences over the Field Fp in the Space Rn, International Journal of Information and Communication Science, IJICS, ISSN: 2575-1700 (Print); ISSN: 2575-1719 (Online), Vol. 4, No.1, Pp. 24-34.
[8] Al Cheikha A. H. (May 5, 2014). Matrix Representation of Groups in the Finite Fields GF(p^n). International Journal of Soft Computing and Engineering, IJSCE, ISSN:2231- 2307, Vol. 4, Issue 2, pp. 1-6.
[9] Al Cheikha A. H., Omar Ebtisam. Haj., “Study the Multiplication M-sequences and its Reciprocal Sequences”, Journal of Electronic & Information Systems. ISSN: 2661-3204, Vol. 03, Issue. 0, Pp. 13-22.
[10] Al Cheikha, A.H. (April 26, 2014). Matrix Representation of Groups in the Finite Fields GF(2^n). International Journal of Soft Computing and Engineering, IJSCE, ISSN: 2231-2307, Vol. 4, Issue 2. pp. 118-125.
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