Design of Low-Complexity Convolutional Codes over GF(q)

Rami Klaimi; Charbel Abdel Nour; Catherine Douillard; Joumana Farah

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arXiv · 1807.02481

Design of Low-Complexity Convolutional Codes over GF(q)

Rami Klaimi·Charbel Abdel Nour·Catherine Douillard·Joumana Farah

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Abstract

This paper proposes a new family of recursive systematic convolutional codes, defined in the non-binary domain over different Galois fields GF(q) and intended to be used as component codes for the design of non-binary turbo codes. A general framework for the design of the best codes over different GF(q) is described. The designed codes offer better performance than the non-binary convolutional codes found in the literature. They also outperform their binary counterparts when combined with their corresponding QAM modulation or with lower order modulations.

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Rami Klaimi, Charbel Abdel Nour, Catherine Douillard, Joumana Farah. 2018-07-06. Design of Low-Complexity Convolutional Codes over GF(q). https://arxiv.org/abs/1807.02481

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