Lattices over Eisenstein integers for compute-and-forward

2012 50th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2012

Volumn , Issue , 2012, Pages 33-40

  Tunali, Nihat Engin ^a   Narayanan, Krishna R ^a   Boutros, Joseph J ^b   Huang, Yu Chih ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

^b TEXAS A AND M UNIVERSITY AT QATAR   (Qatar)

Author keywords

Compute and Forward; Eisenstein integers; Lattice codes

Indexed keywords

ADDITIVE WHITE GAUSSIAN NOISE CHANNEL; CHANNEL REALIZATIONS; COMPUTE-AND-FORWARD; EISENSTEIN INTEGERS; LATTICE CODEBOOKS; LATTICE CODES; LOW-DENSITY PARITY-CHECK (LDPC) CODES; MODULATION SCHEMES;

COMMUNICATION; FORWARD ERROR CORRECTION; WHITE NOISE;

CHANNEL CODING;

EID: 84875724867     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/Allerton.2012.6483196     Document Type: Conference Paper

References (14)

1. B. Nazer and M. Gastpar, "Compute-and-Forward: Harnessing Interference through Structured Codes," IEEE Trans. Info. Theory, vol. 57, no. 10, pp. 6463-6486, Oct. 2011.
2. C. Feng, D. Silva and F. R. Kschischang, "An algebraic approach to physical-layer network coding," IEEE Intl. Symp. on Info. Theory, pp. 1017-1021, 2010.
3. U. Erez, S. Litsyn, and R. Zamir, "Lattices which are good for (almost) everything", IEEE Trans. Info. Theory, vol. 51, no.10, pp. 3401-3416, Oct. 2005. (Pubitemid 41448587)
4. U. Erez and R. Zamir, "Achieving 1/2 log (1+ SNR) on the AWGN channel with lattice encoding and decoding", IEEE Trans. Info. Theory, vol. 50, no. 10, pp. 2293-2314, Oct. 2004.
5. J.H. Conway and N.J.A. Sloane, Sphere Packings, Lattices, and Groups. Springer Verlag, 1999.
6. R. Zamir and M. Feder, "On lattice quantization noise," IEEE Trans. Info. Theory, pp. 1152-1159, vol. 42, no. 4, July 1996. (Pubitemid 126773745)
7. N. Sommer, M.Feder, and O. Shalvi, "Low density lattice codes," IEEE Trans. Info. Theory, vol. 54, no. 4, pp. 1561-1585, April 2008.
8. O. Shalvi, N.Sommer, and M.Feder, "Signal codes," in Info. Theory Workshop, pp. 332-336, 2003.
9. B. Fine and G. Rosenberger, Number Theory. Springer, 2006.
10. R. Breusch,"Zur verallgemeinerung des Bertrandsehen postulates, daB zwischen x und 2x stets primzalflen liegen", Mathematische Zeitschrift, vol. 34, no.1, pp. 505-526, 1932.
11. H. A. Loeliger, "Averaging bounds for lattices and linear codes," IEEE Trans. Info. Theory, vol. 43, no. 5, pp. 1767-1773, Nov. 1997.
12. J. H. Conway and D. Smith, On Quaternions and Octonions. CRC Press, 2003.
13. G. D. Forney Jr., "Coset codes. I. Introduction and geometrical classification, " IEEE Trans. Info. Theory, vol. 34, no. 5, pp. 1123-1151, Sept. 1998.
14. M. P. Wilson, K. Narayanan, "Power allocation strategies and lattice based coding schemes for bi-directional relaying, " IEEE Intl. Symp. on Info. Theory, pp. 344-348, 2009.