CONSTRUCTION FOR SELF-ORTHOGONAL CODES OVER A CERTAIN NON-CHAIN FROBENIUS RING

초록

We present construction methods for free self-orthogonal (self-dual or Type II) codes over Z(4)[v]/< v(2) + 2v > which is one of the finite commutative local non-chain Frobenius rings of order 16. By considering their Gray images on Z(4), we give a construct method for a code over Z(4). We have some new and optimal codes over Z(4) with respect to the minimum Lee weight or minimum Euclidean weight.

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