A key agreement protocol between a first party and a second party comprises the following steps from the first party perspective. An encrypted first random key component is sent to the second party, the first random key component being encrypted using a public key of the second party in accordance with an identity based encryption operation. An encrypted random key component pair is received from the second party, the random key component pair being formed from the first random key component and a second random key component computed at the second party, and encrypted at the second party using a public key of the first party in accordance with the identity based encryption operation. The second random key component, in encrypted form, is sent to the second party, the second random key component being encrypted using the public key of the second party. A key for use in subsequent communications between the first party and the second party is computable at the first party based on the second random key component. The key may be computed at the second party based on the first random key component.
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