Design of regular (2,dc)-LDPC codes over GF(q) using their binary images

Charly Poulliat (1, 2) , Marc Fossorier (1) , David Declercq (1, 2)

1 ETIS - UMR 8051 - Equipes Traitement de l'Information et Systèmes
2 ENSEA - Ecole Nationale Supérieure de l'Electronique et de ses Applications

In this paper, a method to design regular (2, dc)- LDPC codes over GF(q) with both good waterfall and error floor properties is presented, based on the algebraic properties of their binary image. First, the algebraic properties of rows of the parity check matrix H associated with a code are characterized and optimized to improve the waterfall. Then the algebraic properties of cycles and stopping sets associated with the underlying Tanner graph are studied and linked to the global binary minimum distance of the code. Finally, simulations are presented to illustrate the excellent performance of the designed codes.

Domaines: Théorie de l'information [cs.IT]; Théorie de l'information et codage [math.IT]; Traitement du signal et de l'image [eess.SP]

Charly Poulliat, Marc Fossorier, David Declercq. Design of regular (2,dc)-LDPC codes over GF(q) using their binary images. IEEE Transactions on Communications, 2008, 56 (10), pp.1626 - 1635. ⟨10.1109/TCOMM.2008.060527⟩. ⟨hal-00521065⟩