Abstract
Hadamard Matrices and M-Sequences (which formed a closed sets under the addition and with the corresponding null sequence formed additive groups and generated by feedback registers) are 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 sets of sequences (which are also with the corresponding null sequence additive groups) by compose Hadamard matrices and M-sequences 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.
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