Recent　years　have　witnessed　the　success　of　the　proposed　line-based　distributed　coding　and　transmission　system　for　broadcasting　satellite　images　(LineCast).　The　LineCast　achieves　high　compression　efficiency　and　provides　smooth　multicast　capability　with　soft　broadcast　and　coset　coding,　in　which　the　precision　of　side　information　is　crucial.　However,　the　generated　side　information　is　rough　by　averaging　several　candidates　based　on　template　matching.　In　this　paper,　we　propose　a　low-rank　approximation　based　LineCast　scheme　for　video　broadcasting　(LRALineCast)　to　generate　more　precise　side　information　by　exploiting　the　cross-frame　correlation.　The　side　information　generation　problem　is　thus　reformulated　as　a　low　rank　matrix　completion　problem,　where　the　approximately　low　rank　matrix　is　rearranged　by　the　similar　lines　searched　by　template　matching.　LRALineCast　achieves　good　broadcast　performance　and　avoids　the　annoying　cliff　effect　by　utilizing　soft　broadcast　transmission.　The　experimental　results　show　that　LRALineCast　outperforms　the　state-of-the-art　2D　broadcasting　scheme　and　LineCast　with　up　to　2dB　coding　gain.