Abstract: In one embodiment, cryptographic transformation of a message is performed by first performing a table initiation phase to populate a data structure. Then, a first random number multiplied by a public key is added to each value in the data structure, in modulo of a second random number multiplied by the public key. Then an exponentiation phase is performed, wherein each modular multiplication and square operation in the exponentiation phase is performed in modulo of the second random number multiplied by the public key, producing a result. Then the result of the exponentiation phase is reduced in modulo of the public key. The introduction of the random numbers aids in the prevention of potential security breaches from the deduction of operands in the table initiation phase by malicious individuals.

Abstract: In one embodiment, cryptographic transformation of a message is performed by first performing a table initiation phase. This may be accomplished by creating a permutation of an order of powers and then performing a table initiation phase using a part of a key and the permuted order of powers to populate a data structure.

Abstract: In one embodiment, cryptographic transformation of a message is performed by first performing a table initiation phase. Then an exponentiation phase is performed, wherein the exponentiation phase includes two or more parsing steps, wherein each of the parsing steps includes parsing a part of a cryptographic key into a window of size n, wherein n is a difficult to predict number.

Abstract: A Security Enhanced Linux (SELinux) system implementing extended policy models and method for their enforcement, is provided. Extended attributes are defined to specify extended policies. The SELinux policy model is extended to include the extended policies. The extended policies are enforced in addition to SELinux Type Enforcement. In one implementation, defining extended attributes involves defining TC-related attributes to specify TC-related policies. Further, extending the SELinux policy model includes extending the SELinux policy model to include the TC-related policies, in addition to SELinux Type Enforcement. Furthermore, enforcing the extended policies includes enforcing the TC-related policies in addition to SELinux Type Enforcement.