A　block-fading　(BF)　channel,　also　known　as　a　slow-fading　channel,　is　a　type　of　simple　and　practical　channel　model　that　can　characterize　the　primary　feature　of　a　number　of　wireless-communication　applications　with　low　to　moderate　mobility.　Although　BF　channels　have　received　significant　research　attention　in　the　past　20　years,　designing　low-complexity,　outage-limit-approaching　error-correction　codes　(ECCs)　is　still　a　challenging　issue.　For　this　reason,　a　novel　family　of　protograph　low-density　paritycheck　(LDPC)　codes,　called　rootprotograph　(RP)　LDPC　codes,　has　been　conceived　recently.　The　RP　codes　not　only　can　realize　linearcomplexity　encoding　and　highspeed　decoding　with　the　help　of　the　quasi-cyclic　(QC)　structure　but　can　also　achieve　near-outage-limit　performance　in　different　BF　scenarios.　In　this　article,　we　briefly　review　the　design　guidelines　of　such　protograph　codes　with　the　aim　of　inspiring　further　research　activities　in　this　area.　©　2019　IEEE.