Systems and methods for identity-based encryption and related cryptographic techniques
First Claim
1. A method, comprising:
- with computing equipment, encrypting data using a public key that is formed using an identity, wherein encrypting the data comprises encrypting the data using cryptographic system parameters and a bilinear map, wherein the cryptographic system parameters include an element P of an algebraic group and a computed value sP, wherein s represents a secret master key, and wherein encrypting the data using the cryptographic system parameters and the bilinear map comprises;
with the computing equipment, obtaining the cryptographic system parameters P and sP;
with the computing equipment, selecting a random secret r; and
with the computing equipment, encrypting the data using r, sP, the public key that is formed using the identity, and the bilinear map.
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Abstract
A method and system for encrypting a first piece of information M to be sent by a sender [100] to a receiver [110] allows both sender and receiver to compute a secret message key using identity-based information and a bilinear map. The sender uses a bilinear map to encrypt a message M, producing ciphertext V to be sent from the sender [100] to the receiver [110]. The receiver [110] uses the bilinear map to decrypt V and recover the original message M. According to one embodiment, the bilinear map is based on a Weil pairing or a Tate pairing defined on a subgroup of an elliptic curve. Also described are several applications of the techniques, including key revocation, credential management, and return receipt notification.
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Citations
7 Claims
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1. A method, comprising:
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with computing equipment, encrypting data using a public key that is formed using an identity, wherein encrypting the data comprises encrypting the data using cryptographic system parameters and a bilinear map, wherein the cryptographic system parameters include an element P of an algebraic group and a computed value sP, wherein s represents a secret master key, and wherein encrypting the data using the cryptographic system parameters and the bilinear map comprises; with the computing equipment, obtaining the cryptographic system parameters P and sP; with the computing equipment, selecting a random secret r; and with the computing equipment, encrypting the data using r, sP, the public key that is formed using the identity, and the bilinear map. - View Dependent Claims (6, 7)
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2. A method, comprising:
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with computing equipment, decrypting encrypted data using a private key d that corresponds to an identity, wherein decrypting the data comprises decrypting the data using cryptographic system parameters and a bilinear map, wherein the cryptographic system parameters comprise an element P of an algebraic group, and wherein decrypting the data using the cryptographic system parameters and the bilinear map comprises; with the computing equipment, obtaining a computed value sQ, wherein s represents a secret master key and Q represents a public key associated with the identity. - View Dependent Claims (3, 4, 5)
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Specification