Linear orthogonal sequences, special M-Sequences, are used widely in the systems communication channels as in the forward links for mixing the information on connection and as in the backward links of these channels to sift this information which transmitted and the receivers get the information in a correct form. In current research trying to study the construction of the linear equivalent of a multiplication sequence and answering on the question "why the length of the linear equivalent of a multiplication sequence (on a linear M-sequence{an}), in some cases doesn't reach the maximum length rNh, special, when the multiplication is on three or more degrees of the basic sequence {an} The multiplication sequence has high complexity and the same period of the basic sequence, or if the multiplication sequence on two different basic sequences then the period of multiplication sequence is equal to multiplication the two periods of the basic sequences, and in the two cases the multiplication sequence is not an orthogonal sequence.
| Published in | International Journal of Information and Communication Sciences (Volume 5, Issue 3) |
| DOI | 10.11648/j.ijics.20200503.11 |
| Page(s) | 17-32 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2020. Published by Science Publishing Group |
Linear Sequences, Finite Field, Linear Feedback Shift Register, Orthogonal Sequence, Linear Equivalent, Complexity
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APA Style
Ahmad Hamza Al Cheikha. (2020). Study the Linear Equivalent of the Binary Nonlinear Sequences. International Journal of Information and Communication Sciences, 5(3), 17-32. https://doi.org/10.11648/j.ijics.20200503.11
ACS Style
Ahmad Hamza Al Cheikha. Study the Linear Equivalent of the Binary Nonlinear Sequences. Int. J. Inf. Commun. Sci. 2020, 5(3), 17-32. doi: 10.11648/j.ijics.20200503.11
AMA Style
Ahmad Hamza Al Cheikha. Study the Linear Equivalent of the Binary Nonlinear Sequences. Int J Inf Commun Sci. 2020;5(3):17-32. doi: 10.11648/j.ijics.20200503.11
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Download@article{10.11648/j.ijics.20200503.11,
author = {Ahmad Hamza Al Cheikha},
title = {Study the Linear Equivalent of the Binary Nonlinear Sequences},
journal = {International Journal of Information and Communication Sciences},
volume = {5},
number = {3},
pages = {17-32},
doi = {10.11648/j.ijics.20200503.11},
url = {https://doi.org/10.11648/j.ijics.20200503.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijics.20200503.11},
abstract = {Linear orthogonal sequences, special M-Sequences, are used widely in the systems communication channels as in the forward links for mixing the information on connection and as in the backward links of these channels to sift this information which transmitted and the receivers get the information in a correct form. In current research trying to study the construction of the linear equivalent of a multiplication sequence and answering on the question "why the length of the linear equivalent of a multiplication sequence (on a linear M-sequence{an}), in some cases doesn't reach the maximum length rNh, special, when the multiplication is on three or more degrees of the basic sequence {an} The multiplication sequence has high complexity and the same period of the basic sequence, or if the multiplication sequence on two different basic sequences then the period of multiplication sequence is equal to multiplication the two periods of the basic sequences, and in the two cases the multiplication sequence is not an orthogonal sequence.},
year = {2020}
}
TY - JOUR
T1 - Study the Linear Equivalent of the Binary Nonlinear Sequences
AU - Ahmad Hamza Al Cheikha
Y1 - 2020/08/27
PY - 2020
N1 - https://doi.org/10.11648/j.ijics.20200503.11
DO - 10.11648/j.ijics.20200503.11
T2 - International Journal of Information and Communication Sciences
JF - International Journal of Information and Communication Sciences
JO - International Journal of Information and Communication Sciences
SP - 17
EP - 32
PB - Science Publishing Group
SN - 2575-1719
UR - https://doi.org/10.11648/j.ijics.20200503.11
AB - Linear orthogonal sequences, special M-Sequences, are used widely in the systems communication channels as in the forward links for mixing the information on connection and as in the backward links of these channels to sift this information which transmitted and the receivers get the information in a correct form. In current research trying to study the construction of the linear equivalent of a multiplication sequence and answering on the question "why the length of the linear equivalent of a multiplication sequence (on a linear M-sequence{an}), in some cases doesn't reach the maximum length rNh, special, when the multiplication is on three or more degrees of the basic sequence {an} The multiplication sequence has high complexity and the same period of the basic sequence, or if the multiplication sequence on two different basic sequences then the period of multiplication sequence is equal to multiplication the two periods of the basic sequences, and in the two cases the multiplication sequence is not an orthogonal sequence.
VL - 5
IS - 3
ER -
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