Design and analysis of nonbinary LDPC codes for arbitrary discrete-memoryless channels, IEEE Trans. Inform. Theory, vol.52, issue.2, pp.549-583, 2006. ,
The Moore Bound for Irregular Graphs, Graphs and Combinatorics, vol.18, issue.1, pp.53-57, 2002. ,
DOI : 10.1007/s003730200002
Asymptotically good codes with high iterative decoding performances, Proceedings. International Symposium on Information Theory, 2005. ISIT 2005., pp.850-854, 2005. ,
DOI : 10.1109/ISIT.2005.1523457
URL : https://hal.archives-ouvertes.fr/hal-00524604
A new family of asymptotically good codes with high iterative decoding performances, ICC'06, 2006. ,
A More Accurate One-Dimensional Analysis and Design of Irregular LDPC Codes, IEEE Transactions on Communications, vol.52, issue.12, pp.2106-2114, 2004. ,
DOI : 10.1109/TCOMM.2004.838718
Extrinsic information transfer functions: model and erasure channel properties, IEEE Transactions on Information Theory, vol.50, issue.11, pp.502657-2673, 2004. ,
DOI : 10.1109/TIT.2004.836693
Skewness and pseudocodewords in iterative decoding, ISIT 1998, 2006. ,
Optimal decoding of linear codes for minimizing symbol error rate (Corresp.), IEEE Transactions on Information Theory, vol.20, issue.2, pp.284-287, 1974. ,
DOI : 10.1109/TIT.1974.1055186
Unveiling turbo codes: some results on parallel concatenated coding schemes, IEEE Transactions on Information Theory, vol.42, issue.2, pp.409-429, 1996. ,
DOI : 10.1109/18.485713
Near Shannon limit error-correcting coding and decoding, ICC'93, pp.1064-1070, 1993. ,
Non binary convolutional codes for turbo-coding. Electronic Letters, pp.39-40, 1999. ,
The advantages of nonbinary turbo-codes, Information Theory Workshop ITW'01, pp.61-63, 2001. ,
An MSE based transfer chart to analyze iterative decoding schemes, 2005. ,
Turbo code at 0.03 dB from capacity limit, Proceedings IEEE International Symposium on Information Theory,, p.56, 2002. ,
DOI : 10.1109/ISIT.2002.1023328
Generalized low density (Tanner) codes, 1999 IEEE International Conference on Communications (Cat. No. 99CH36311), pp.441-445, 1999. ,
DOI : 10.1109/ICC.1999.767979
A Logarithmic Upper Bound on the Minimum Distance of Turbo Codes, IEEE Transactions on Information Theory, vol.50, issue.8, pp.1692-1710, 2004. ,
DOI : 10.1109/TIT.2004.831763
Asymptotic Enumeration Methods for Analyzing LDPC Codes, IEEE Transactions on Information Theory, vol.50, issue.6, pp.1115-1131, 2004. ,
DOI : 10.1109/TIT.2004.828064
Maxwell construction: the hidden bridge between iterative and maximum a posteriori decoding, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-00290624
Life above threshold: from list decoding to area theorem and MSE, IEEE Information Theory Workshop, 2004. ,
URL : https://hal.archives-ouvertes.fr/hal-00290622
Reconfigurable turbo decoding for 3G applications, Signal Processing, vol.84, issue.10, pp.1957-1972, 2004. ,
DOI : 10.1016/j.sigpro.2004.07.005
On the design of low-density parity-check codes within 0.0045 dB of the Shannon limit, IEEE Communications Letters, vol.5, issue.2, pp.58-60, 2001. ,
DOI : 10.1109/4234.905935
Analysis and Design of Moderate Length Regular LDPC Codes with Low Error Floors, 2006 40th Annual Conference on Information Sciences and Systems, 2006. ,
DOI : 10.1109/CISS.2006.286581
Elements of information theory, 1991. ,
Construction of protograph LDPC codes with linear minimum distance, 2006. ,
Low-density parity check codes over GF(q), IEEE Communications Letters, vol.2, issue.6, pp.165-167, 1998. ,
DOI : 10.1109/4234.681360
Large deviations techniques and applications. Applications of Mathematics, Stochastic modelling and applied probability, 1998. ,
Finite length analysis of low-density parity-chack codes on the binary erasure channel, IEEE Trans. Inform. Theory, issue.6, pp.481570-1579, 2002. ,
Weight distributions : how deviant can you be?, Proceedings of the IEEE Int. Symp. Inform. Theory, p.50, 2001. ,
Weight distribution of low-density paritycheck codes. preprint, 2004. ,
Coding theorems for 'turbo-like' codes, Proc. 36th Allerton Conf. on Coomunication, Control, and Computing, pp.201-210, 1998. ,
Fast convergence algorithm for LDPC codes, VTC 2006-Spring, pp.2393-2397, 2006. ,
Factor graphs and the sum-product algorithm, IEEE Trans. on Inform. Theory, vol.47, issue.2, pp.498-519, 2001. ,
Irregular turbo-codes, Proceedings of the 37th annual Allerton conference on Communications, Control and Computing, 1999. ,
The theory of matrices, 1959. ,
Low Density Parity Check Codes. M.I, 1963. ,
Analyzing the turbo decoder using the Gaussian approximation, IEEE Transactions on Information Theory, vol.47, issue.2, pp.671-686, 2001. ,
DOI : 10.1109/18.910581
Asymptotic weight distributions of irregular repeat-accumulate codes, IEEE Global Telecommunications Conference, vol.3, pp.1147-1151, 2005. ,
Low-delay low-complexity error-correcting codes on sparse graphs, 2002. ,
Regular and irregular progressive edge-growth tanner graphs, IEEE Transactions on Information Theory, vol.51, issue.1, pp.386-398, 2005. ,
DOI : 10.1109/TIT.2004.839541
On the asymptotic input-output weight distributions and thresholds of convolutional and turbo-like encoders, IEEE Trans. Inform. Theory, vol.48, pp.3052-3061, 2002. ,
Irregular repeat-accumulate codes, Proceedings of the 2nd Int. Conf. on Turbo codes and related topics, pp.1-8, 2000. ,
Probabilistic reasoning in intelligent systems: networks of Plausible Inference, 1988. ,
Bit error rate estimate of finite length turbo codes, ICC 2003 -IEEE International Conference on Communications, pp.2728-2732, 2003. ,
Concatenated zigzag Hadamard codes, IEEE Trans. Inform. Theory, vol.52, issue.4, pp.1711-1723, 2006. ,
On ensembles of low-density parity-check codes: asymptotic distance distributions, IEEE Transactions on Information Theory, vol.48, issue.4, pp.887-908, 2002. ,
DOI : 10.1109/18.992777
Practical loss resilent codes, Proceedings of the 30th annual ACM Symposium on Theory of Computing (STOC), pp.249-258, 1998. ,
Efficient erasure correcting codes, IEEE Transactions on Information Theory, vol.47, issue.2, pp.569-584, 2001. ,
DOI : 10.1109/18.910575
Improved low-density parity-check codes using irregular graphs, IEEE Transactions on Information Theory, vol.47, issue.2, pp.585-598, 2001. ,
DOI : 10.1109/18.910576
Evaluation of Gallager Codes for Short Block Length and High Rate Applications, IMA Volumes in Mathematics and its Applications, 2000. ,
DOI : 10.1007/978-1-4613-0165-3_6
Weaknesses of Margulis and Ramanujan-Margulis lowdensity parity-check codes, In Electronic Notes in Theoretical Computer science, vol.74, 2003. ,
Asymptotic Spectra of Trapping Sets in Regular and Irregular LDPC Code Ensembles, IEEE Transactions on Information Theory, vol.53, issue.1 ,
DOI : 10.1109/TIT.2006.887060
Performance of low-density parity-check codes with linear minimum distance, IEEE Transactions on Information Theory, vol.52, issue.1, pp.292-300, 2006. ,
DOI : 10.1109/TIT.2005.860439
Compound codes based on graphs and their iterative decoding, 2000. ,
Density evolution, thresholds and the stability condition for non-binary LDPC codes, IEE Proceedings - Communications, vol.152, issue.6, 2005. ,
DOI : 10.1049/ip-com:20050230
Error-floors of LDPC codes, Proceedings of the 41st Annual Conference on Communications, pp.1426-1435, 2003. ,
Design of capacity-approaching irregular low-density parity-check codes, IEEE Transactions on Information Theory, vol.47, issue.2, pp.619-637, 2001. ,
DOI : 10.1109/18.910578
Modern coding theory. In preparation. see http ,
Multi-edge LDPC codes Available at ,
The capacity of low-density parity-check codes under message-passing decoding, IEEE Transactions on Information Theory, vol.47, issue.2, pp.599-618, 2001. ,
DOI : 10.1109/18.910577
Serial concatenation of interleaved codes: performance analysis, design and iterative decoding, IEEE Trans. on Information Theory, vol.44, pp.909-926, 1998. ,
Irregular turbo-codes with symbol-based iterative decoding, 3 rd International Symposium on Turbo-codes, pp.407-410, 2003. ,
IntroductionàIntroduction`Introductionà l'analyse des algorithmes, 1996. ,
A Mathematical Theory of Communication, Bell System Technical Journal, vol.27, issue.3, pp.379-423623, 1948. ,
DOI : 10.1002/j.1538-7305.1948.tb01338.x
Capacity-Achieving Sequences, Codes,Systems, and Graphical Models, number 123 in IMA Mathematics and Applications, pp.153-166, 2000. ,
DOI : 10.1007/978-1-4613-0165-3_9
Matrix perturbation Theory. Computer science and scientific computing, 1990. ,
A recursive approach to low complexity codes, IEEE Transactions on Information Theory, vol.27, issue.5, pp.533-547, 1981. ,
DOI : 10.1109/TIT.1981.1056404
Convergence behavior of iteratively decoded parallel concatenated codes, IEEE Transactions on Communications, vol.49, issue.10, pp.1727-1737, 2001. ,
DOI : 10.1109/26.957394
Design of Low-Density Parity-Check Codes for Modulation and Detection, IEEE Transactions on Communications, vol.52, issue.4, pp.670-678, 2004. ,
DOI : 10.1109/TCOMM.2004.826370
Low-density parity-check (LDPC) codes constructed from protographs, 2003. ,
The average weight distribution of tanner code ensembles and a way to modify them to improve their weight distribution, International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings., p.7, 2004. ,
DOI : 10.1109/ISIT.2004.1365045
HabilitationàHabilitation`Habilitationà Diriger des Recherches, 2006. ,
On the minimum distance of structured LDPC codes with two variable nodes of degree 2 per parity-check equation, 2006 IEEE International Symposium on Information Theory, 2006. ,
DOI : 10.1109/ISIT.2006.262128
Density evolution, thresholds and the stability condition for non-binary LDPC codes, IEEE Trans. on Communications, 2005. ,
On MAP decoding for tail-biting convolutional codes, Proceedings of ISIT'97, 1997. ,
Codes and Decoding on General Graphs, 1996. ,
Binary representation of cycle Tanner-graph GF(2 b ) codes, ICC'04, 2004. ,
A nonbinary extension of RA codes: weighted nonbinary repeat accumulate codes, 14th IEEE 2003 International Symposium on Personal, Indoor and Mobile Radio Communication Proceedings, 2003. ,