# Compose Quotient Ring Sequences With Walsh’s Sequences and M-Sequences

### Compose Quotient Ring Sequences With Walsh’s Sequences and M-Sequences

Dep. of Mathematical Science, College of Arts-science and Education

Orthogonal sequences as Walsh Sequences, M-Sequences and other sequences used widely at the forward links of communication channels to mix the information on connecting to and at the backward links of these channels to sift through this information is transmitted to reach the receivers this information in correct form, specially in the pilot channels, the Sync channels, and the Traffic channel.
This research is useful to generate new orthogonal sets of sequences (which are also with the corresponding null sequence additive groups) by compose quotient ring sequences with the best and very important orthogonal sequences, Walsh sequences and M-sequences, and by inverse, with the bigger lengths and the bigger minimum distance that assists to increase secrecy of these information and increase the possibility of correcting mistakes resulting in the channels of communication.

Keywords: Quotient ring Sequences, Walsh Sequences, M-sequences, Coefficient of Correlation, Code, Orthogonal sequences, Additive group, Span.

Ahmad Hamza Al Cheikha. Compose Quotient Ring Sequences With Walsh’s Sequences and M-Sequences. American Journal of Computer Engineering, 2019; 2:4.

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