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A method of construction for non-binary periodic sequences from the cyclic difference set is proposed. Two numerical examples are given, and their value distributions and some Hamming distances between self-cyclic shift and cross-cyclic shift of two sequences are evaluated.
The Boston bound is defined by the subset of defining set for cyclic codes. The authors proposed new simple derivation for the BCH bound, the HT bound and the shift bound, using the discrete Fourier transform (DFT) and the Blahut theorem. In this paper, we consider the Boston bound for cyclic codes by the DFT.
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