Lifted MDS Codes over Finite Fields

03/30/2021

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by   Elif Segah Oztas, et al.

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MDS codes are elegant constructions in coding theory and have mode important applications in cryptography, network coding, distributed data storage, communication systems et. In this study, a method is given which MDS codes are lifted to a higher finite field. The presented method satisfies the protection of the distance and creating the MDS code over the F_q by using MDS code over F_p.