Multilevel Constructions: Coding, Packing and Geometric Uniformity

Maiara F. Bollauf, Ram Zamir, Sueli I.R. Costa

Research output: Contribution to journalArticlepeer-review


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, latticeness, and minimum distance properties of Construction C , and discuss its superior packing efficiency when compared to Construction C.

Original languageEnglish
Article number8788649
Pages (from-to)7669-7681
Number of pages13
JournalIEEE Transactions on Information Theory
Issue number12
StatePublished - Dec 2019


  • Lattice constructions
  • construction C∗
  • construction c
  • geometrically uniform constellation
  • minimum distance

All Science Journal Classification (ASJC) codes

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences


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