# Skew Generalized Cyclic Code over $ R[x_1;\sigma_1,\delta_1][x_2;\sigma_2,\delta_2]$

This article studies two dimensional skew generalized cyclic (SGC) codes, i.e., SGC codes over the ring $ R[x_1;\sigma_1,\delta_1][x_2;\sigma_2,\delta_2]$, where $R$ is a ring with unity. Here, we discuss the structural properties of SGC codes, and a sufficient number of examples of MDS codes are given to show the importance of our results. Also, we improve BCH lower bounds for the minimum distance of SGC codes with non-zero derivation.

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Information Theory
Information Theory

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