Sun, Qifu Tyler, Huang, Tao, and Yuan, Jinhong (2013) On Lattice-Partition-Based Physical-Layer Network Coding over GF(4). IEEE Communications Letters, 17 (10). pp. 1988-1991.

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Abstract

This letter studies lattice-partition-based physical layer network coding (LNC) over the finite field GF(4), whose quaternary constellation has practical interests. The optimal dither method in terms of energy efficiency is first derived for LNC over GF(4), and it is shown to save 1/3 average transmission power. Next, LNC design from linear codes over GF(4) is investigated. Explicit connection between parameters of the linear code and of the corresponding LNC is established. The construction method is further extended to design LNCs from linear codes over a general finite field GF(4m). As design examples, LNCs constructed from convolutional, BCH, and Reed-Solomon codes are presented and analyzed. It is illustrated that these LNCs can provide up to 9.5 dB coding gain.

Item ID:	93569
Item Type:	Article (Research - C1)
ISSN:	1558-2558
Copyright Information:	© 2013 IEEE.
Funders:	Australian Research Council (ARC)
Projects and Grants:	ARC DP110104995
Date Deposited:	18 Aug 2026 05:45
FoR Codes:	40 ENGINEERING > 4099 Other engineering > 409902 Engineering instrumentation @ 100%
SEO Codes:	28 EXPANDING KNOWLEDGE > 2801 Expanding knowledge > 280110 Expanding knowledge in engineering @ 100%
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