2011/09/29 by J.-C. Belfiore, Jean-Claude Belfiore, Belfiore, Jean-Claude +2 · 1 citation
Computer Science · Engineering · Mathematics · #Cellular Automata and Applications #Cooperative Communication and Network Coding #FOS: Computer and information sciences #Information Theory (cs.IT) #Wireless Communication Security Techniques #cs.IT #graph theory and CDMA systems #math.IT
paper · pdf · doi:10.48550/arxiv.1109.6437
27 pages, 4 figures
openalex publication_date 2011/09/29 · arxiv created 2013/01/09 · arxiv updated 2013/01/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider MIMO (Multiple Input Multiple Output) wiretap channels, where a legitimate transmitter Alice is communicating with a legitimate receiver Bob in the presence of an eavesdropper Eve, and communication is done via MIMO channels. We suppose that Alice's strategy is to use a codebook which has a lattice structure, which then allows her to perform coset encoding. We analyze Eve's probability of correctly decoding the message Alice meant to Bob, and from minimizing this probability, we derive a code design criterion for MIMO lattice wiretap codes. The case of block fading channels is treated similarly, and fast fading channels are derived as a particular case. The Alamouti code is carefully studied as an illustration of the analysis provided.