Abstract: For a defined cryptographic process including an original substitution table, split masked substitution tables are provided to resist cryptographic attacks. The split masked substitution tables are defined with reference to a set of random value data words and a mask value. An entry in the split masked substitution tables is defined by selecting bits from the corresponding entry in the original masked substitution table, as masked by the corresponding one of the set of random value data words and by selecting bits from the corresponding one of the set of random value data words as masked by the mask value. The split masked substitution tables are usable in a modified cryptographic process based on the defined cryptographic process to permit a masked output to be generated. The split masked substitution tables are refreshed by each entry in the tables being refreshed upon access during execution of the modified cryptographic process.

Abstract: Countermeasures for differential power or electromagnetic analysis attacks are provided with the definition and use of key encryption masks and masked substitution tables in a cryptographic process. Different key encryption masks and masked substitution tables are applied to different portions of masked keys used in the cryptographic process and are rotated as the cryptographic operations are carried out. The rotation of the key encryption masks and the masked substitution tables is non-uniform. Input and output masking for the substitution tables is provided.

Abstract: Tables are defined to permit output masking for table look-ups to be carried out to resist power analysis attacks on cryptographic operations. A set of individually defined random values is used to mask each entry in a substitution table, defining a masked substitution table. A mask table is also defined such that the values of each entry, masked with the corresponding random value, is the value of a fixed mask. The masked substitution tables and the mask tables may be used in cryptographic operations to permit the output of table look-ups to be masked, without directly using the fixed mask value in the computations of the cryptographic operations.

Abstract: A countermeasure for differential power analysis attacks on computing devices. The countermeasure includes the definition of a set of split mask values. The split mask values are applied to a key value used in conjunction with a masked table defined with reference to a table mask value. The set of n split mask values are defined by randomly generating n?1 split mask values and defining an nth split mask value by exclusive or'ing the table mask value with the n?1 randomly generated split mask values.