TELKOMNIKA Telecommunication Computing Electronics and Control
Decoding of the extended Golay code by the simplified
successive-cancellation list decoder adapted to multi-kernel polar codes

TELKOMNIKA Telecommunication Computing Electronics and Control
Decoding of the extended Golay code by the simplified
successive-cancellation list decoder adapted to multi-kernel polar codes

Binary linear block code
Coding theory
Error-correcting code
Golay code
Multi-kernel polar code

This paper describes an adaptation of a polar code decoding technique in
favor of the extended Golay code. Based on the bridge provided by a
permutation matrix between the code words of these two classes of codes,
the Golay code can be decoded by any polar code technique. Contrary to the
successive-cancellation list technique which is characterized by a serial
estimation of the bits, we propose in this work an adaptation of the
simplified successive-cancellation list technique to polar codes equivalent to
the Golay code. The simulations have achieved the performance of a
maximum likelihood decoding, with the low decoding complexity of polar
codes, compared to one of the universal decoders of linear codes most
known in the literature.

Driss Khebbou, Idriss Chana, Hussain Ben-Azza

http://telkomnika.uad.ac.id

Nov 26, 2022

Nov 26, 2022

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