Squaring Construction for Repeated-Root Cyclic Codes

We considered repeated-root cyclic codes whose block length is divisible by the characteristic of the underlying field. Cyclic self dual codes are also the repeated root cyclic codes. It is known about the one-level squaring construction for binary repeated root cyclic codes. In this correspondence, we introduced of two level squaring construction for binary repeated root cyclic codes of length 2a b , a > 0, b is odd. Keywords—Squaring Construction, generator matrix, self dual codes, cyclic codes, coset codes, repeated root cyclic codes.

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