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We present a new scheme called universal block chaining with sum (or chain sum primitive (C S) for short), and show its application to the problem of combined encryption and authentication of data. The primitive is a weak CBC-type encryption along with a summing step and can be used as a front end to stream ciphers to encrypt pages or blocks of data (e.g., in an encrypted file system or in a video stream).Under standard assumptions, the resulting encryption scheme provablyacts as a random...

The chain & sum primitive and its applications to MACs and stream ciphers