arxiv: Computer Science::Information Theory | Computer Science::Hardware Architecture
In this paper, we analyse asymptotically a new class of LDPC codes called Non-binary Hybrid LDPC codes, which has been recently introduced. We use density evolution techniques to derive a stability condition for hybrid LDPC codes, and prove their threshold behavior. We ... View more
 M. Davey and D.J.C. MacKay, “Low Density Parity Check Codes over GF(q),” IEEE Commun. Lett., vol. 2, pp. 165-167, June 1998.
 D. Sridhara and T.E. Fuja, “Low Density parity Check Codes over Groups and Rings,” in the proc. of ITW'02, Bangladore, India, Oct. 2002.
 X.-Y. Hu and E. Eleftheriou, “Binary Representation of Cycle TannerGraph GF(2q ) Codes,” in the proc. of ICC'04, pp. 528-532, Paris, France, June 2004.
 A. Bennatan and David Burshtein, ”Design and Analysis of Nonbinary LDPC Codes for Arbitrary Discrete-Memoryless Channels,” IEEE Trans. on Inform. Theory, vol. 52, no. 2, pp. 549-583, Feb. 2006.
 A. Goupil, M. Colas, G. Gelle and D. Declercq, “FFT-based BP Decoding of General LDPC Codes over Abelian Groups,” to appear in the IEEE Trans. on Commun., 2006.
 T. Richardson, A. Shokrollahi and R. Urbanke, ”Design of CapacityApproaching Irregular LDPC Codes,” IEEE Trans. on Inform. Theory, vol. 47, no. 2, pp. 619-637, Feb. 2001.
 L. Sassatelli and D. Declercq, ”Non-binary Hybrid LDPC Codes: Structure, Decoding and Optimization,” in IEEE Inform. Theory Workshop, Chengdu, China, October 2006, http://arxiv.org/PS cache/cs/pdf/0701/0701066v1.pdf.
 C. Poulliat, M. Fossorier and D. Declercq, “Using Binary Image of Nonbinary LDPC Codes to Improve Overall Performance,” in IEEE Intern. Symp. on Turbo Codes, Munich, April 2006.