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I am implementing a Service Provider in java and an IDP in java, which is necessary to implement in order to comply with a basic implementation?
Do you use some framework on backend like Spring?
For IDP implementation I will suggest you to use one of the open source solutions, like for example http://shibboleth.net/
For SP, if you are using Spring on backend, you should try out Spring Saml extension: http://static.springsource.org/spring-security/site/extensions/saml/