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arXiv · 1806.05715

Multilevel constructions: coding, packing and geometric uniformity

Maiara Francine Bollauf·Ram Zamir·Sueli Irene Rodrigues Costa
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Abstract

Lattice and special nonlattice multilevel constellations constructed from binary codes, such as Constructions A, C, and D, have relevant applications in Mathematics (sphere packing) and in Communication (multi-stage decoding and efficient vector quantization). In this work, we explore some properties of Construction C, in particular its geometric uniformity. We then propose a new multilevel construction, inspired by bit interleaved coded modulation (BICM), that we call Construction C*. We investigate the geometric uniformity, laticeness, and minimum distance properties of Construction C* and discuss its superior packing efficiency when compared to Construction C.

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Maiara Francine Bollauf, Ram Zamir, Sueli Irene Rodrigues Costa. 2018-06-14. Multilevel constructions: coding, packing and geometric uniformity. https://arxiv.org/abs/1806.05715

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