Determination for minimum symbol-pair and RT weights of repeated-root cyclic codes

10/06/2020

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by   Boran Kim, et al.

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In this paper, we determine the minimum symbol-pair weight and RT weight of repeated-root cyclic codes over ℜ=𝔽_p^m[u]/⟨ u^4⟩ of length n=p^k. For the determination, we explicitly present a third torsional degree for all different types of cyclic codes over ℜ of length n.