Future wireless applications such as high definition video streaming, wireless cloud radio access networks, and cellular data offload are bandwidth-hungry, which highlights the need for Wi-Fi links exceeding 1 Gb/s. This article discusses coding schemes and, in particular, the use of Low-Density Parity-Check (LDPC) codes as Forward Error Correction (FEC) in future Wi-Fi standards. Moreover, we consider advanced design strategies such as root-check LDPC structures, computer-aided design for short blocks and high-performance decoding algorithms with low latency. We then conclude the article with a discussion of FEC challenges for future Wi-FI applications.