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Title: Lattice network coding over Euclidean Domains
Authors: Vázquez-Castro, M. A.
Oggier, Frédérique
Keywords: DRNTU::Science::Mathematics
Issue Date: 2014
Source: Vazquez-Castro, M.A., & Oggier, F. (2014). Lattice network coding over Euclidean Domains. 2014 Proceedings of the 22nd European Signal Processing Conference (EUSIPCO), 1148-1152.
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Abstract: We propose a novel approach to design and analyse lattice-based network coding. The underlying alphabets are carved from (quadratic imaginary) Euclidean domains with a known Euclidean division algorithm, due to their inherent algorithmical ability to capture analog network coding computations. These alphabets are used to embed linear p-ary codes of length n, p a prime, into n-dimensional Euclidean ambient spaces, via a variation of the so-called Construction A of lattices from linear codes. A study case over one such Euclidean domain is presented and the nominal coding gain of lattices obtained from p-ary Hamming codes is computed for any prime p such that p ≡ 1 (mod 4).
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Fulltext Permission: open
Fulltext Availability: With Fulltext
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