Author :
Erez, Uri ; Litsyn, Simon ; Zamir, Ram
Abstract :
Using random coding techniques, we show that, in high dimensions, there exist lattices which are simultaneously good as sphere packings, sphere coverings, AWGN channel and MSE quantization codes. These lattices are produced by a construction, similar to construction A (Conway, J.H. and Sloane, N.J.A., 1988), and a randomly chosen set of generating vectors.
Keywords :
AWGN channels; binary codes; channel coding; lattice theory; linear codes; mean square error methods; quantisation (signal); AWGN channel coding; MSE quantization codes; binary codes; binary linear codes; generating vectors; lattices; random coding techniques; sphere coverings; sphere packings; AWGN channels; Channel capacity; Channel coding; Error correction codes; Error probability; H infinity control; Lattices; Linear code; Maximum likelihood decoding; Quantization;
