Random coding bound for the second moment of multidimensional lattices

Problems of Information Transmission

Volumn 43, Issue 1, 2007, Pages 57-68

  Kudryashov, Boris D ^a   Yurkov, Kirill V ^a  

^a SAINT PETERSBURG STATE UNIVERSITY OF AEROSPACE INSTRUMENTATION   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

BOOLEAN ALGEBRA; RANDOM PROCESSES; SET THEORY; VECTOR QUANTIZATION;

MULTIDIMENSIONAL LATTICES; RANDOM CODING BOUND; SECOND MOMENT; VORONOI POLYHEDRON;

ENCODING (SYMBOLS);

EID: 34247559739     PISSN: 00329460     EISSN: 16083253     Source Type: Journal    
DOI: 10.1134/S0032946007010073     Document Type: Article

References (6)

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2. Gray, R.M. and Neuhoff, D.L., Quantization, IEEE Trans. Inform. Theory, 1998, vol. 44, no. 6, pp. 2325-2383.
3. Conway, J.H. and Sloane, N.J.A., Fast Quantizing and Decoding and Algorithms for Lattice Quantizers and Codes, IEEE Trans. Inform. Theory, 1982, vol. 28, no. 2, pp. 227-232.
4. Zador, P.L., Development and Evaluation of Procedures for Quantizing Multivariate Distributions, PhD Thesis, Stanford Univ., 1963.
5. Conway, J.H. and Sloane, N.J.A., Sphere Packings, Lattices and Groups, New York: Springer, 1993, 2nd ed. First edition translated under the title Upakovki sharov, reshetki i gruppy, 2 vols., Moscow: Mir, 1990.
6. Erez, U., Litsyn, S., and Zamir, R., Lattices Which Are Good for (Almost) Everything, IEEE Trans. Inform. Theory, 2005, vol. 51, no. 10, pp. 3401-3416.