Ahmad Al Cheikha
Department of Maths and Science, Ahlia University, Bahrain
Diana Mokayes
Mechatronics Department, Tishreen University, Syria
In the current time there is an important problem that is for a received linear or nonlinear binary sequence {zn} how we can find the nonlinear feedback shift register and its linear equivalent which generate this sequence. The linear orthogonal sequences, special M-Sequences, play a big role in these methods for solving this problem. In the current research trying give illuminations about the methods which are very useful for solving this problem under short sequences, and study these methods for finding the nonlinear feedback shift register of a multiplication sequence and its linear equivalent feedback shift register of a received multiplication binary sequence{zn} where the multiplication on h degrees of a binary linear sequence {an}, or finding the equivalent linear feedback shift register of {zn}, where the sequence {zn}of the form M-sequence, and these methods are very effectively. We can extend these methods for the large sequences using programming and modern computers with large memory.
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[3] Mokayes D. Al Cheikha A. H., (2021- February) Study the Linear Equivalent of Nonlinear equences 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(pn) ”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/pmZ.Research Journal of Mathematics and Computer Science. RJMCS.ISSN: 2576-3989, Vol.2, Issue 11. Pp. 0001- 0013.
[7] 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.
[8] 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.
[9] Al Cheikha A. H., Omar Ebtisam. Haj., “Study the Multiplication M-sequences and its Reciprocal Sequences”, Journal of Electronic & Information Sysems. 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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