Construction of Barnes-Wall lattices from linear codes over rings

IEEE International Symposium on Information Theory - Proceedings

Volumn , Issue , 2012, Pages 3110-3114

  Harshan, J ^a   Viterbo, Emanuele ^a   Belfiore, J C ^b  

^a MONASH UNIVERSITY   (Australia)

^b TELECOM PARISTECH   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BARNES-WALL LATTICES; BINARY LINEAR CODES; LATTICE CONSTELLATION; LATTICE PACKINGS; LINEAR CODES; LINEAR CODES OVER RINGS;

INFORMATION THEORY;

IMAGE CODING;

EID: 84867529299     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ISIT.2012.6284136     Document Type: Conference Paper

References (8)

1. J.H. Conway and N.J.A Sloane, Sphere Packings, Lattices and Groups, Second Edition, 1993, Springer-Verlag, New York.
2. R. E. Blahut, Theory and Practice of Error Control Codes, Addison-Wesley Publishing Company, Inc, 1983.
3. G.D. Forney, and A. Vardy, "Generalized Minimum-Distance Decoding of Euclidean-Space Codes and Lattices", IEEE Transactions on Information Theory, vol. 42, no. 6, Nov. 1996, pp. 1992 - 2026.
4. G.D. Forney, "Coset Codes- Part II: Binary Lattices and Related Codes", IEEE Transactions on Information Theory, vol. 34, no. 5, Sept. 1988, pp. 1152 - 1187.
5. G. Nebe, E. M. Rains and N. J. A. Sloane, "A Simple Construction of the Barnes-Wall Lattices", in Codes, Graphs, and Systems: A Celebration of the Life and Career of G. David Forney, Jr. on the Occasion of his Sixtieth Birthday, ed. R. E. Blahut and R. Koetter, Kluwer, 2002, pp. 333-342.
6. D. Micciancio, and A. Nicolsi, "Efficient Bounded Distance Decoders for Barnes-Wall Lattices", in the Proc. of IEEE ISIT 2008, Toronto, Canada, July 6-11, 2008.
7. A. J. Salomon, and O. Amrani, "Augmented Product Codes and Lattices: Reed-Muller Codes and Barnes-Wall Lattices", IEEE Transactions on Information Theory, vol. 51, no. 11, Nov. 2005, pp. 3918 - 3930.
8. J. Harshan, E. Viterbo, and J.-C. Belfiore, "Practical Encoders and Decoders for Euclidean Codes from Barnes-Wall Lattices," available on arXiv:1203.3282v2 [cs.IT], March 2012.