Frédérique Oggier

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Multiple-input double-output (MIDO) codes are important in future wireless communications, where the portable end-user device is physically small and uses only two receive antennas. In this paper, we address the design of 4×2 MIDO codes. Starting from a 4×4 space-time block code matrix built from a cyclic division algebra, two ways of(More)
Systems exploiting network coding suffer greatly from pollution attacks which consist of injecting malicious packets in the network. The pollution attacks are amplified by the network coding process resulting in a greater damage than under traditional routing. In this paper, we address this issue with unconditionally secure multi-receiver authentication(More)
In this note, we study quasi-uniform distributions that are obtained from finite groups. We derive a few simple properties of entropic vectors obtained from Abelian groups, and consider the problem of determining when non-Abelian groups can provide richer entropic vectors than Abelian groups. We focus in particular on the family of dihedral groups(More)
We address the problem of designing coset codes for use over slow block fading MIMO channels. We consider as inner code different codes built over cyclic algebras (in particular for different number of antennas), and show that two alternative approaches for the outer code are either codes on cyclic algebras over finite fields, or error correcting codes over(More)
We present an iterative construction of algebraic space-time codes. Starting from a division algebra D, we show how to embed it into a larger ring A = A(D) and give conditions for A to be a new division algebra. Starting from a quaternion division algebra D<sub>1</sub>, we thus obtain a sequence D<sub>1</sub> &#x2282; D<sub>2</sub> &#x2282;... of division(More)
We propose an iterative full-rate code construction for multiple antenna channels, with 6Tx and 3Rx antennas. We start with two 3 &#x00D7; 3 codes arising from a cyclic division algebra, and combine them to obtain a 6 &#x00D7; 6 codeword. We provide a sufficient criterion for the resulting code to be fully diverse. Furthermore, this construction preserves(More)
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