Energy and delay analysis of Binary BCH codes for Machine-to-Machine networks with small data transmissions

Emerging Machine-to-Machine (M2M) applications demand small data packet sizes, very low latencies, and ultrahigh energy efficiencies. For all these reasons, Binary Bose-Chaudhuri-Hocquenhem (BCH) codes, which are very simple to implement, could constitute a good option to guarantee the required reliability of M2M transmissions. Nevertheless, existing delay and energy analyses of BCH decoders in the literature neither consider the channel statistics nor the first and second moments of the decoding delay. Therefore, they provide conservative codeword designs that lead to high delays and waste of energy. In this paper, we analyze the first and second moments of the delay and energy performance of Binary Bose-Chaudhuri-Hocquenhem (BCH) codes in realistic channel statistics to show that, if optimized, they can perform very efficiently for M2M transmissions. The results presented in this paper allow for the codeword length optimization for BCH codes given specific delay and energy constraints.