E. Bayer-Fluckiger

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In this work, we give a bound on performance of any full-diversity lattice constellation constructed from algebraic number fields. We show that most of the already available constructions are almost optimal in the sense that any further improvement of the minimum product distance would lead to a negligible coding gain. Furthermore, we discuss constructions,(More)
In this correspondence, we present various families of full diversity rotated Z/sup n/-lattice constellations based on algebraic number theory constructions. We are able to give closed-form expressions of their minimum product distance using the corresponding algebraic properties.
In this work, we give a bound on performance of any full-diversity lattice constellation constructed from algebraic number fields. We show that most of the already available constructions are almost optimal in the sense that any further improvement of the minimum product distance would lead to a negligeable coding gain. Lattice constellations with high(More)
Let k be a field of characteristic different from 2 and let G be a finite group. A G-form over k is a G-invariant quadratic form defined over k. An important class of G-forms consists of the trace forms qL associated to G-Galois algebras L. Here a G-Galois algebra is a finite étale k-algebra that is Galois over k with group G. See Section 1 and [8, 1.3] for(More)