PERFECT CODES IN THE HOMOGENEOUS METRIC
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DOI: 10.1017/s0004972725100567
Abstract: We study perfect codes in the homogeneous metric over the ring $\mathbb {Z}_{{2}^k}, k\ge 2$ . We derive arithmetic nonexistence results from Diophantine equations on the parameters resulting from the sphere packing conditions, and a… read more here.
Keywords: homogeneous metric; perfect codes; codes homogeneous;