On perfect 1-epsilon-error-correcting codes

Olof Heden; Güzeltepe, Murat

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On perfect 1-epsilon-error-correcting codes

Olof Heden; Güzeltepe, Murat

URI: https://hdl.handle.net/20.500.12619/6041

Date: 2015

Abstract:

We generalize the concept of perfect Lee-error-correcting codes, and present constructions of this new class of perfect codes that are called perfect 1-epsilon-error-correcting codes. We also show that in some cases such codes contain quite a few perfect 1-error-correcting q-ary Hamming codes as subsets.

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