Research on Information-Theoretically Composable Security for Cryptographic Primitives

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In this research project, we studied cryptographic primitives having information-theoretic composable security. Here, information-theoretic composable security implies the strong security which does not depend on any computational model, and cryptographic primitives having such a security can be composed with other ones without losing their security. The main contribution of this research is to show the essential equivalence of information-theoretic composable security and traditional information-theoretic security for cryptographic primitives such as encryption, key-agreement, and authentication codes. This result means that the cryptographic primitives having traditional information-theoretic security can be composed with other ones without losing security in various and complicated systems in information society, and therefore, our results are considered to be important not only from an theoretical aspect but also from a practical viewpoint.