Construction of new codes in telecommunication systems based on non-prime cyclic products and cyclic tensor products.

The main purpose of this article is to use non-prime cyclic products and cyclic tensor ‎products and the relationships between them in the network coding process in order to ‎deal with destructive attacks and enemy contamination to the information transmission ‎network.‎
‎ For this purpose, by using cyclic products of groups and concepts of non-prime action ‎of permutation groups, we will consider certain subspaces of Grossmannian and ‎present a systematic method for constructing non-commutative circuit codes on these ‎spaces.‎
In this research, in order to increase the operational capacity of the information ‎transmission network and also in order to deal with the threats of eavesdropping, ‎destruction and pollution of the network, while introducing non-displacement circuit ‎codes, we will present methods to build new categories of circuit codes of large size ‎and with the maximum and minimum distance of code words.‎
In order to deal with network pollution attacks, we have examined a new class of new ‎codes based on non-prime cyclic products and cyclic tensor products, and using the ‎cyclic tensor product of two subspaces, we describe some methods of constructing new ‎codes.‎