Abstract
In the last decade two old methods for decoding linear block codes have gained considerable interest, iterative decoding as first described by Gallager in [1] and list decoding as introduced by Elias [2]. In particular iterative decoding of lowdensity parity-check (LDPC) codes, has been an important subject of research, see e.g. [3] and the references therein. “Good“ LDPC codes are often randomly generated by computer, but recently codes with an algebraic or geometric structure have also been considered e.g [3] and [4]. The performance of the iterative decoder is typically studied by simulations and a theoretical analysis is more difficult.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Gallager, R.G.: Low-Density Parity-Check Codes. M.I.T. Press, Cambridge, MA (1963)
Elias, P.: List Decoding for Noisy Channel. Res. Lab. Electron., MIT, Cambridge, MA, Techn. Rep. 335 (1957)
Kou, Y., Lin, S., Fossorier, M.: Low-Density Parity-Check Codes Based on Finite Geometries: A Rediscovery and New Results. IEEE Trans. Inform. Theory 47, 2711–2736 (2001)
Liu, Z., Pados, D.A.: LDPC Codes from Generalized Polygons. IEEE Trans. Inform. Theory 51, 3890–3898 (2005)
Bossert, M., Hergert, F.: Hard-and Soft-Decision Decoding Beyond the Half Minimum Distance - An Algorithm for Linear Codes. IEEE Trans. Inform. Theory 32, 709–714 (1986)
Hjaltason, J.: List Decoding of LDPC Codes. M. Eng. Thesis, Department of Mathematics, Technical University of Denmark (2005)
Justesen, J., Høholdt, T., Hjaltason, J.: Iterative List Decoding of Some LDPC Codes. IEEE Trans. Inform. Theory. (to appear, 2007)
Kristensen, J.T.: List Decoding of LDPC Codes. M. Eng. Thesis, COM, Technical University of Denmark (2007)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Høholdt, T., Justesen, J. (2007). Iterative List Decoding of LDPC Codes. In: Boztaş, S., Lu, HF.(. (eds) Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. AAECC 2007. Lecture Notes in Computer Science, vol 4851. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77224-8_3
Download citation
DOI: https://doi.org/10.1007/978-3-540-77224-8_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-77223-1
Online ISBN: 978-3-540-77224-8
eBook Packages: Computer ScienceComputer Science (R0)