Enabling　remote　data　integrity　checking　with　failure　recovery　becomes　exceedingly　critical　in　distributed　cloud　systems.　With　the　properties　of　a　lower　repair　bandwidth　while　preserving　fault　tolerance,　regenerating　coding　and　network　coding　(NC)　have　received　much　attention　in　the　coding-based　storage　field.　Recently,　an　outstanding　outsourced　auditing　scheme　named　NC-Audit　was　proposed　for　regenerating-coding-based　distributed　storage.　The　scheme　claimed　that　it　can　effectively　achieve　lightweight　privacy-preserving　data　verification　remotely　for　these　networked　distributed　systems.　However,　our　algebraic　analysis　shows　that　NC-Audit　can　be　easily　broken　due　to　a　potential　defect　existing　in　its　schematic　design.　That　is,　an　adversarial　cloud　server　can　forge　some　illegal　blocks　to　cheat　the　auditor　with　a　high　probability　when　the　coding　field　is　large.　From　the　perspective　of　algebraic　security,　we　propose　a　remote　data　integrity　checking　scheme　RNC-Audit　by　resorting　to　hiding　partial　critical　information　to　the　server　without　compromising　system　performance.　Our　evaluation　shows　that　the　proposed　scheme　has　significantly　lower　overhead　compared　to　the　state-of-the-art　schemes　for　distributed　remote　data　auditing.　©　2021　Guangjun　Liu　et　al.