English

Algebraic Fast-Decodable Relay Codes for Distributed Communications

Information Theory 2012-02-28 v1 math.IT Rings and Algebras

Abstract

In this paper, fast-decodable lattice code constructions are designed for the nonorthogonal amplify-and-forward (NAF) multiple-input multiple-output (MIMO) channel. The constructions are based on different types of algebraic structures, e.g. quaternion division algebras. When satisfying certain properties, these algebras provide us with codes whose structure naturally reduces the decoding complexity. The complexity can be further reduced by shortening the block length, i.e., by considering rectangular codes called less than minimum delay (LMD) codes.

Keywords

Cite

@article{arxiv.1202.5857,
  title  = {Algebraic Fast-Decodable Relay Codes for Distributed Communications},
  author = {Camilla Hollanti and Nadya Markin},
  journal= {arXiv preprint arXiv:1202.5857},
  year   = {2012}
}

Comments

5 pages

R2 v1 2026-06-21T20:25:28.074Z