Abstract: Plurality of users share a common key while permitting dynamic member change and computational complexity required for key exchange is reduced. The first key generation unit 212 of the communication devices Ui computes Ri and ci, or ci based on a twisted pseudo-random function. A session ID generation unit 113 of a key distribution device S generates sid based on a target-collision resistant hash function and transmits sid to the communication devices Ui. A second key generation unit 214 of the communication devices Ui computes Ti based on a pseudo-random function. A third key generation unit 115 of the key distribution device S computes k? and T?i based on the twisted pseudo-random function. A session key generation unit 217 of the communication devices Ui generates the common key K2 based on a pseudo-random function.

Abstract: Plurality of users share a common key while permitting dynamic member change and computational complexity required for key exchange is reduced. The first key generation unit computes Ri and ci based on a twisted pseudo-random function. A session ID generation unit generates sid based on a target-collision resistant hash function and transmits (sid, R?, R?) to communication devices Ui. A second key generation unit of a representative communication device U1 computes T1 based on a pseudo-random function. A second key generation unit of general communication devices Uj computes Tj based on the pseudo-random function. A third key generation unit computes k? based on the twisted pseudo-random function and computes T?j with respect to each j. A session key generation unit of the general communication devices Uj computes Kjl and k1. The session key generation unit generates a common key K2 based on the pseudo-random function.

Abstract: To provide a terminal device that can share a session key for use in encryption communication with multiple terminal devices at a certain timing without relying on an existing server device.

Abstract: Plurality of users share a common key while permitting dynamic member change and computational complexity required for key exchange is reduced. The first key generation unit computes Ri and ci based on a twisted pseudo-random function. A session ID generation unit generates sid based on a target-collision resistant hash function and transmits (sid, R?, R?) to communication devices Ui. A second key generation unit of a representative communication device U1 computes T1 based on a pseudo-random function. A second key generation unit of general communication devices Uj computes Tj based on the pseudo-random function. A third key generation unit computes k? based on the twisted pseudo-random function and computes T?j with respect to each j. A session key generation unit of the general communication devices Uj computes Kjl and k1. The session key generation unit generates a common key K2 based on the pseudo-random function.

Abstract: A server sends a key update request for requesting updating of the key, to a client terminal. The client terminal sends, to a key delivery server, a key delivery request for requesting the delivery of a key to the client terminal. The key delivery server delivers a key to the client terminal. The client terminal sends, to the server, a key reception notice indicating that the delivered key was received. The server sends, to the client terminal, a key-use start notice indicating that the client terminal starts data transmission and reception by using the delivered key with a different client terminal from the aforementioned client terminal. The client terminal performs data transmission and reception with the different client terminal by using the delivered key.

Abstract: Plurality of users share a common key while permitting dynamic member change and computational complexity required for key exchange is reduced. The first key generation unit 212 of the communication devices Ui computes Ri and ci, or ci based on a twisted pseudo-random function. A session ID generation unit 113 of a key distribution device S generates sid based on a target-collision resistant hash function and transmits sid to the communication devices Ui. A second key generation unit 214 of the communication devices Ui computes Ti based on a pseudo-random function. A third key generation unit 115 of the key distribution device S computes k? and T?i based on the twisted pseudo-random function. A session key generation unit 217 of the communication devices Ui generates the common key K2 based on a pseudo-random function.