Analysis of Non-binary Hybrid LDPC Codes

This paper is eligible for the student paper award. In this paper, we analyse asymptotically a new class of LDPC codes called non-binary hybrid LDPC codes, which has been recently introduced in L. Sassatelli and D. Declerq [2006]. We use density evolution techniques to derive a stability condition for hybrid LDPC codes, and prove their threshold behavior. We study this stability condition to conclude on asymptotic advantages of hybrid LDPC codes compared to their non-hybrid counterparts.