As　the　public　cloud　becomes　one　of　the　leading　ways　in　data-sharing　nowadays,　data　confidentiality　and　user　privacy　are　increasingly　critical.　Partially　policy-hidden　ciphertext　policy　attribute-based　encryption　(CP-ABE)　can　effectively　protect　data　confidentiality　while　reducing　privacy　leakage　by　hiding　part　of　the　access　structure.　However,　it　cannot　satisfy　the　need　of　data　sharing　in　the　public　cloud　with　complex　users　and　large　amounts　of　data,　both　in　terms　of　less　expressive　access　structures　and　limited　granularity　of　policy　hiding.　Moreover,　the　verification　of　access　right　to　shared　data　and　correctness　of　decryption　are　ignored　or　conducted　by　an　untrusted　third　party,　and　the　prime-order　groups　are　seldom　considered　in　the　expressive　policy-hidden　schemes.　This　article　proposes　a　fully　policy-hidden　CP-ABE　scheme　constructed　on　linear　secret　sharing　scheme　(LSSS)　access　structure　and　prime-order　groups　for　public　cloud　data　sharing.　To　help　users　decrypt,　hidden　vector　encryption　(HVE)　with　a　＂convert　step＂　is　applied,　which　is　more　compatible　with　CP-ABE.　Meanwhile,　decentralized　credible　verification　of　access　right　to　shared　data　and　correctness　of　decryption　based　on　blockchain　are　also　provided.　We　prove　the　security　of　our　scheme　rigorously　and　compare　the　scheme　with　others　comprehensively.　The　results　show　that　our　scheme　performs　better.