The neighbourhood area network (NAN) in smart grid (SG) is responsible for data exchange from smart meters (SMs) to the control center and vice versa. Efficient and reliable communication from a control center to individual SMs is an essential part of enabling a green power supply system. Different packet loss at SMs causes information delay. Network coding (NC) is a promising technique to improve throughput and reduce this delay by recovering lost packets in a broadcast scenario. In this paper, to recover lost packets, a codebook is designed for SG NAN downlink (DL) communication without feedback information. The codebook is designed for a small number of retransmissions under the assumption of an optimal decoder/receiver. The key performance metrics include decoded packets and packet loss ratio. Simulation results show the proposed codebook outperforms existing codebooks in terms of throughput for similar performance metrics.