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Gallager-type bounds for non-binary linear block codes over memoryless symmetric channels

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3 Author(s)
Eran Hof ; Department of Electrical Engineering, Technion ¿ Israel Institute of Technology, Haifa 32000, Israel ; Igal Sason ; Shlomo Shamai

The performance analysis of non-binary linear block codes is studied under ML decoding where it is assumed that the transmission takes place over memoryless symmetric channels. Gallager-type bounds are derived, and the proposed bounds are exemplified for expurgated regular ensembles of non-binary low-density parity-check (LDPC) codes. These bounds are also compared with classical and recent improved sphere-packing bounds, indicating that these bounding techniques are informative for the performance evaluation of coded communication systems which incorporate non-binary coding techniques.

Published in:

Information Theory Workshop, 2008. ITW '08. IEEE

Date of Conference:

5-9 May 2008