Request for the permission of type 'System.Data.OracleClient.OraclePermission failed when deploying on SharePoint 2010 web app

I am facing a permission issue. I am deploying my asp.net application to SharePoint 2010 environment as a WSP solution package. Our application uses Oracle client(which is deployed on the SharePoint Web Front End Servers) to contact our Oracle database and perform operation like fetching, inserting data. When i deployed our code that will do a simple fetch data operation and load the data to an ASP.net dropdown. I see the below error when opening our custom pages on SharePoint. I know this is due to some security restrictions on SharePoint environment but not sure on how to resolve this issue. Can someone please help me in figuring out this issue.

Thanks in advance.

Area     : SharePoint Foundation
Category : Runtime
Level    : Critical
EventID  : 6615
Message  : Request for the permission of type 'System.Data.OracleClient.OracleP
           ermission, System.Data.OracleClient, Version=2.0.0.0, Culture=neutra
           l, PublicKeyToken=b77a5c561934e089' failed.