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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 withunity. Here, we discuss the structural properties of SGC codes, and asufficient number of examples of MDS codes are given to show the importance ofour results. Also, we improve BCH lower bounds for the minimum distance of SGCcodes with non-zero derivation.

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