J. Cain, G. Clark, and J. Geist,

, /n and simplified maximum likelihood decoding, IEEE Trans. Inf. Theory, vol.25, issue.1, pp.97-100, 1979.

C. Berrou, A. Glavieux, and P. Thitimajshima, Near Shannon limit error-correcting coding and decoding: Turbo-codes, Proc. IEEE Int. Conf. Commun, pp.1064-1070, 1993.

L. Bahl, J. Cocke, F. Jelinek, and J. Raviv, Optimal decoding of linear codes for minimizing symbol error rate (corresp.), IEEE Trans. Inf. Theory, vol.20, issue.2, pp.284-287, 1974.

P. Robertson, E. Villebrun, and P. Hoeher, A comparison of optimal and sub-optimal MAP decoding algorithms operating in the log domain, Proc. IEEE Int. Conf. Commun, vol.2, pp.1009-1013, 1995.

E. Boutillon, C. Douillard, and G. Montorsi, Iterative decoding of concatenated convolutional codes: Implementation issues, Proc. IEEE, vol.95, pp.1201-1227, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00167352

S. Riedel, MAP decoding of convolutional codes using reciprocal dual codes, IEEE Trans. Inf. Theory, vol.44, issue.3, pp.1176-1187, 1998.

C. Lin, C. Wong, and H. Chang, A 40 nm 535 Mbps multiple coderate turbo decoder chip using reciprocal dual trellis, IEEE J. Solid-State Circuits, vol.48, issue.11, pp.2662-2670, 2013.

A. Graell-i-amat, G. Montorsi, and S. Benedetto, Design and decoding of optimal high-rate convolutional codes, IEEE Trans. Inf. Theory, vol.50, issue.5, pp.867-881, 2004.

V. Le, C. Nour, E. Boutillon, and C. Douillard, Dual trellis construction for high-rate punctured convolutional codes, PIMRC Workshop, pp.1-7, 2019.
URL : https://hal.archives-ouvertes.fr/hal-02165351

S. Srinivasan and S. S. Pietrobon, Decoding of high rate convolutional codes using the dual trellis, IEEE Trans. Inf. Theory, vol.56, issue.1, pp.273-295, 2010.

G. Montorsi and S. Benedetto, An additive version of the SISO algorithm for the dual code, Proc. IEEE Int. Symp. Inf. Theory, p.27, 2001.

J. Vogt and A. Finger, Improving the max-log-MAP turbo decoder, Electronics Letters, vol.36, issue.23, pp.1937-1939, 2000.

V. Le, C. Nour, E. Boutillon, and C. Douillard, Revisiting the Max-Log-Map algorithm with SOVA update rules: new simplifications for high-radix SISO decoders, IEEE Trans. Comm, 2020.

C. Huang and A. Ghrayeb, A simple remedy for the exaggerated extrinsic information produced by the SOVA algorithm, IEEE Trans. Wireless Comm, vol.5, issue.5, pp.996-1002, 2006.

. Multiplexing, , 2019.

C. Berrou, Y. Saouter, C. Douillard, S. Kerouedan, and M. Jezequel, Designing good permutations for turbo codes: towards a single model, IEEE Int. Conf. Comm, vol.1, pp.341-345, 2004.
URL : https://hal.archives-ouvertes.fr/hal-02119341

R. Garzón-bohórquez, C. Nour, and C. Douillard, Protographbased interleavers for punctured turbo codes, IEEE Trans. Commun, vol.66, issue.5, pp.1833-1844, 2018.