Name: On quotient metrics and decoding problems
Creator: Blomqvist Ferdinand
Keywords: ta111, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 16. Peace & justice

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Oct 2018Publisher:IEEEJournal:2018 International Symposium on Information Theory and Its Applications (ISITA)

Authors: Blomqvist Ferdinand;

doi: 10.23919/isita.2018.8664238

On quotient metrics and decoding problems

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Abstract

Linear codes and lattices arising from such codes via Construction A are in a one-to-one correspondence. In [1], Campello et al. showed that solving the closest vector problem with respect to the l p norm on the lattice corresponding to a q-ary code C is equivalent to finding the closest codeword of C with respect to the p-Lee metric. Here these results are extended to the most general situation we can think of.

Related Organizations

Aalto University
Finland

Keywords

ta111

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