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In 1986 Fumy proposed a simplified approach to calculate inverse discrete Fourier transform (IDFT) using normal bases and its dual in encoding cyclic codes in the spectral domain. Therefore, one important thing in Fumy’s procedure is to choose an appropriate normal bases such that the dual bases can be determined easily. This problem leads to an application of weakly self-dual normal bases. In this paper we explain how to construct weakly self-dual normal bases and its type of bases in encoding cyclic codes

Construction of Weakly Self-Dual Normal Bases and Its Aplication in Orthogonal Transform Encoding Cyclic Codes