Abstract: A cryptographic system for executing operations of a cryptographic scheme applied to encrypt a data block is provided. The cryptographic system comprises a first sharing processing unit configured to execute an arithmetic sharing function applied to the data block and providing as an output a first and a second arithmetic share component. The cryptographic system further comprises a second sharing processing unit and a computation processing unit. The second sharing processing unit is configured to determine a random component and to execute a Boolean sharing function applied to the first arithmetic share component and to the random component and providing as an output an intermediate Boolean share component. The computation processing unit is configured to execute a recursive carry computation function configured to compute a first, a second and a third Boolean share component from the second arithmetic share component, the random component and the intermediate Boolean share component.

Abstract: An architecture configured for providing a compression function from within a hash function, including a message input, configured for receiving a message block from a set of message blocks; a hash output, configured for outputting a final state which represents the hash value of the set of message blocks; a compression block for processing blocks of data from the set of message blocks and gradually condensing them into a fixed-size hash value; wherein the architecture is further configured for temporary storing the compressed value between calls of the compression function.

Abstract: A cryptographic system for executing operations of a cryptographic scheme applied to encrypt a data block is provided. The cryptographic system comprises a first sharing processing unit configured to execute an arithmetic sharing function applied to the data block and providing as an output a first and a second arithmetic share component. The cryptographic system further comprises a second sharing processing unit and a computation processing unit. The second sharing processing unit is configured to determine a random component and to execute a Boolean sharing function applied to the first arithmetic share component and to the random component and providing as an output an intermediate Boolean share component. The computation processing unit is configured to execute a recursive carry computation function configured to compute a first, a second and a third Boolean share component from the second arithmetic share component, the random component and the intermediate Boolean share component.