Well-rounded lattices for coset coding in MIMO wiretap channels

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review


  • Oliver W. Gnilke
  • Amaro Barreal Fernandez
  • Alex Karrila
  • Ha Tran Nguyen Thanh
  • David A. Karpuk
  • Camilla Hollanti

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The concept of well-rounded lattices has recently found important applications in the setting of a fading single-input single-output (SISO) wiretap channel. It has been shown that, under this setup, the property of being well-rounded is critical for minimizing the eavesdropper's probability of correct decoding in lower SNR regimes. The superior performance of coset codes constructed from well-rounded lattices has been illustrated in several simulations. In the present article, this work is extended to fading multiple-input multiple-output (MIMO) wiretap channels, and similar design criteria as in the SISO case are derived. Further, explicit coset codes for Rayleigh fading MIMO wiretap channels are designed. In particular, it is shown through extensive simulations that sublattices of the well-known Alamouti code and Golden code which meet our design criteria perform better than scalar multiples of the code lattice for the same parameters.


Original languageEnglish
Title of host publication26th International Telecommunication Networks and Applications Conference, ITNAC 2016
Publication statusPublished - 14 Mar 2017
MoE publication typeA4 Article in a conference publication
EventInternational Telecommunication Networks and Applications Conference - Dunedin, New Zealand
Duration: 7 Dec 20169 Dec 2016
Conference number: 26


ConferenceInternational Telecommunication Networks and Applications Conference
Abbreviated titleITNAC
CountryNew Zealand

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