In ACM’CCS 2009,Camenisch,et al.proposed the Oblivious Transfer with Access Control(AC-OT) in which each item is associated with an attribute set and can only be available,on request,to the users who have all the attributes in the associated set.Namely,AC-OT achieves access control policy for conjunction of attributes.Essentially,the functionality of AC-OT is equivalent to the sim-plified version that we call AC-OT-SV:for each item,one attribute is associated with it,and it is requested that only the users who possess the associated attribute can obtain the item by queries.On one hand,AC-OT-SV is a special case of AC-OT when there is just one associated attribute with each item.On the other hand,any AC-OT can be realized by an AC-OT-SV.In this paper,we first present a concrete AC-OT-SV protocol which is proved to be secure in the model defined by Camenisch,et al..Then from the protocol,interestingly,a concrete Identity-Based Encryption(IBE) with Anonymous Key Issuing(AKI) is given which is just a direct application to AC-OT-SV.By comparison,we show that the AKI protocol we present is more efficient in communications than that proposed by Chow. In ACM ’CCS 2009, Camenisch, et al. Proposed the Oblivious Transfer with Access Control (AC-OT) in which each item is associated with an attribute set and can only be available, on request, to the users who have all the attributes in the associated set. Namely, AC-OT achieves access control policy for conjunction of attributes.Essentially, the functionality of AC-OT is equivalent to the sim-plified version that we call AC-OT-SV: for each item, one attribute is associated with it, and it is requested that only that users who possess the associated attribute can obtain the item by queries.On one hand, AC-OT-SV is a special case of AC-OT when there is just one associated attribute with each item.On the other hand, any AC-OT can be realized by an AC-OT-SV.In this paper, we first present a concrete AC-OT-SV protocol which is proved to be secure in the model defined by Camenisch , et al. From the protocol, interestingly, a concrete Identity-Based Encryption (IBE) with Anonymous Key Issuing (AKI) is given whic h is just a direct application to AC-OT-SV.By comparison, we show that the AKI protocol we present is more efficient in communications than that proposed by Chow.