Skew Cyclic Codes over Fp + uFp (February 2018)

A seminar to be conducted by Dr. Taher Abualrub, Professor, Department of Mathematics and Statistics, American University of Sharjah

Abstract: The objective of our work here is to construct error-correcting codes with good parameters over finite fields of odd prime order. To construct these error correcting codes, we study skew cyclic codes with arbitrary length over the ring R = Fp + uFp where p is an odd prime and  u^2 = 0. We characterize all skew cyclic codes of length n as left   R[x ;  theta]-submodules of R_n = R[x ;  theta ]= / (x^n – 1) . Using the Gray mapping, we will provide examples of codes over Fp with good parameters..cies.

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