Generalized secret sharing and monotone functions
CRYPTO '88 Proceedings on Advances in cryptology
A protocol to set up shared secret schemes without the assistance of mutually trusted party
EUROCRYPT '90 Proceedings of the workshop on the theory and application of cryptographic techniques on Advances in cryptology
Cryptosystem for group oriented cryptography
EUROCRYPT '90 Proceedings of the workshop on the theory and application of cryptographic techniques on Advances in cryptology
A method for obtaining digital signatures and public-key cryptosystems
Communications of the ACM
Society and Group Oriented Cryptography: A New Concept
CRYPTO '87 A Conference on the Theory and Applications of Cryptographic Techniques on Advances in Cryptology
CRYPTO '94 Proceedings of the 14th Annual International Cryptology Conference on Advances in Cryptology
Proceedings of the 5th IMA Conference on Cryptography and Coding
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A simple and efficient method to send confidential messages to a group is proposed in this paper. Firstly, we show a practical and efficient generalized secret sharing scheme based on simple operations. Next, we propose a special design concept to construct a generalized group-oriented cryptosystem (GGOC) [5]. Any group can use our design concept to construct a GGOC which provides a secure environment for a sender to send confidential messages to it. The constructed GGOC does not need the assistance of any trusted party. We also apply our design concept to construct a GGOC based on RSA, DES, and our generalized secret sharing scheme. As a result, our new GGOC is simple and easy to implement in hardware. We also show that our proposed GGOC is practical and is more efficient than Chang and Lee's GGOC.