Quasicyclic structure as the strongest cyclic symmetry for perfect codes in Doob graphs
An additive 111-perfect code CCC is a submodule of Z42m+n”×Z22n′\mathbb{Z}_4^{2m+n”}\times\mathbb{Z}_2^{2n'}Z42m+n”×Z22n′, and the quotient Q=(Z42m+n”×Z22n′)/CQ=(\mathbb{Z}_4^{2m+n”}\times\mathbb{Z}_2^{2n'})/CQ=(Z42m+n”×Z22n′)/C is isomorph…
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