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Power lines render very harsh and hostile environment for electronic data communication. The key characteristics of the power line channel are time varying nature, frequency selective attenuation and presence of impulsive noise because of random switching of power appliances. The impulsive nature of the additive noise has been ignored so far in the literature for resource allocation in power line communication system because this assumption results in intractable solutions. In this study, an approach of efficient resource allocation is introduced in order to maximise the throughput and achieve tolerable bit error rate of the power line system, by adapting power transmitted in each cycle, under additive Middleton class A impulsive noise (MCAIN). The proposed resource allocation technique utilises sub-channel ordering to obtain a higher throughput; and provides improvement as compared to the existing zero forcing based resource allocation technique under additive MCAIN.