Currently, there has been an increasing demand for operational and trustworthy digital data transmission and storage systems. This demand has been augmented by the appearance of large-scale, high-speed data networks f...
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Currently, there has been an increasing demand for operational and trustworthy digital data transmission and storage systems. This demand has been augmented by the appearance of large-scale, high-speed data networks for the exchange, processing and storage of digital information in the different spheres. In this paper, we explore a way to achieve this goal. For given positive integers , we establish that corresponding to a binary cyclic code , there is a binary cyclic code , where is a nonnegative integer, which plays a role in enhancing code rate and error correction capability. In the given scheme, the new code is in fact responsible to carry data transmitted by . Consequently, a codeword of the code can be encoded by the generator matrix of and therefore this arrangement for transferring data offers a safe and swift mode.
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