Unimodular lattices for the Gaussian Wiretap Channel

2010 IEEE Information Theory Workshop, ITW 2010 - Proceedings

Volumn , Issue , 2010, Pages

  Belfiore, Jean Claude ^a   Sole, Patrick ^a  

^a INSTITUT TELECOM   (France)

Author keywords

[No Author keywords available]

Indexed keywords

GAUSSIANS; LATTICE INVARIANTS; UNIMODULAR; WIRETAP CHANNEL;

INFORMATION THEORY;

EID: 80051940473     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CIG.2010.5592923     Document Type: Conference Paper

References (16)

1. J.-C. Belfiore and F. Oggier, "Secrecy gain: a wiretap lattice code design," ISITA 2010, 2010. [Online]. Available: arXiv:1004.4075v1[cs.IT]
2. L. H. Ozarow and A. D. Wyner, "Wire-tap channel II," Bell Syst. Tech. Journal, vol. 63, no. 10, pp. 2135-2157, Dec. 1984.
3. R. Zamir, S. Shamai, and U. Erez, "Linear/lattice codes for structured multi-terminal binning," IEEE Trans. Inf. Theory, June 2002.
4. S. Pradhan and K. Ramchandran, "Generalized coset codes for distributed binning," IEEE Trans. Inf. Theory, Oct. 2005.
5. A. Thangaraj, S. Dihidar, A. R. Calderbank, S. McLaughlin, and J.-M. Merolla, "Applications of LDPC codes to the wiretap channel," IEEE Trans. Inf. Theory, vol. 53, no. 8, Aug. 2007.
6. D.Klinc, J.Ha, S. McLaughlin, J.Barros, and B. Kwak, "LDPC codes for the Gaussian wiretap channel," in Proc. Inf. Theory Works., Oct. 2009.
7. S. Y. El Rouayheb and E. Soljanin, "On wiretap networks II," in Proc. ISIT, 2007.
8. X. He and A. Yener, "Providing secrecy with structured codes: Tools and applications to two-user Gaussian channels," July 2009. [Online]. Available: http://arxiv.org/pdf/0907.5388
9. A. Wyner, "The wire-tap channel," Bell. Syst. Tech. Journal, vol. 54, Oct. 1975.
10. J. Conway and N. Sloane, Sphere packings, Lattices and Groups, 3rd ed. Springer-Verlag, 1998.
11. E. Weisstein, "Jacobi Theta Functions," MathWorld-A Wolfram Web Resource. [Online]. Available: http://mathworld.wolfram.com/ JacobiThetaFunctions.html
12. n." [Online]. Available: arXiv:0807.4694v2[math.NT]
13. W. Ebeling, Lattices and Codes. Adv. Lect. in Mathematics, 1994.
14. J.-P. Serre, A course in arithmetic, ser. Graduate Texts in Mathematics. Springer, 1996.
15. 22," J. reine angew. Mathematik, vol. 494, pp. 155-171, 1998.
16. H.-G. Quebbemann, "Modular lattices in Euclidean spaces," J. Number Theory, vol. 54, pp. 190-202, 1995.