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208
Short signatures from the Weil pairing
, 2001
"... We introduce a short signature scheme based on the Computational DiffieHellman assumption on certain elliptic and hyperelliptic curves. The signature length is half the size of a DSA signature for a similar level of security. Our short signature scheme is designed for systems where signatures ar ..."
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Cited by 755 (25 self)
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We introduce a short signature scheme based on the Computational DiffieHellman assumption on certain elliptic and hyperelliptic curves. The signature length is half the size of a DSA signature for a similar level of security. Our short signature scheme is designed for systems where signatures are typed in by a human or signatures are sent over a lowbandwidth channel.
IdentityBased Encryption from the Weil Pairing
, 2001
"... We propose a fully functional identitybased encryption scheme (IBE). The scheme has chosen ciphertext security in the random oracle model assuming an elliptic curve variant of the computational DiffieHellman problem. Our system is based on bilinear maps between groups. The Weil pairing on elliptic ..."
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Cited by 1748 (28 self)
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We propose a fully functional identitybased encryption scheme (IBE). The scheme has chosen ciphertext security in the random oracle model assuming an elliptic curve variant of the computational DiffieHellman problem. Our system is based on bilinear maps between groups. The Weil pairing
Reducing the Complexity of the Weil Pairing Computation
"... Abstract. In this paper, we investigate to compute the variants based on the Weil pairing with short Miller iteration loops. ..."
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Cited by 1 (1 self)
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Abstract. In this paper, we investigate to compute the variants based on the Weil pairing with short Miller iteration loops.
A Novel Proof on Weil Pairing
"... In this paper we will prove a basic property of weil pairing which helps in evaluating its value. We will show that the weil pairing value as computed from the definition is equivalent with the ratio formula based on the miller function. We prove a novel theorem (Theorem 2) and use it to establish t ..."
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In this paper we will prove a basic property of weil pairing which helps in evaluating its value. We will show that the weil pairing value as computed from the definition is equivalent with the ratio formula based on the miller function. We prove a novel theorem (Theorem 2) and use it to establish
DRINFELD MODULAR CURVE AND WEIL PAIRING
, 2004
"... Abstract. In this paper we describe the compactification of the Drinfeld modular curve. This compactification is analogous to the compactification of the classical modular curve given by Katz and Mazur. We show how the Weil pairing on Drinfeld modules that we defined in earlier work gives rise to a ..."
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Abstract. In this paper we describe the compactification of the Drinfeld modular curve. This compactification is analogous to the compactification of the classical modular curve given by Katz and Mazur. We show how the Weil pairing on Drinfeld modules that we defined in earlier work gives rise to a
Pairwise Key Agreement Protocols Based on the Weil Pairing
"... Yao G, Feng DG. Pairwise key agreement protocols based on the weil pairing. Journal of Software, 2006,17(4): ..."
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Yao G, Feng DG. Pairwise key agreement protocols based on the weil pairing. Journal of Software, 2006,17(4):
Selfblindable credential certificates from the weil pairing
, 2001
"... Abstract. We describe two simple, efficient and effective credential pseudonymous certificate systems, which also support anonymity without the need for a trusted third party. The second system provides cryptographic protection against the forgery and transfer of credentials. Both systems are based ..."
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Cited by 56 (1 self)
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on a new paradigm, called selfblindable certificates. Such certificates can be constructed using the Weil pairing in supersingular elliptic curves. 1
The Weil pairing on elliptic curves over C
, 2011
"... To help motivate the Weil pairing, we discuss it in the context of elliptic curves over the field of complex numbers. (The original version is from September, 2005. This version has an updated url for the paper [1].) ..."
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To help motivate the Weil pairing, we discuss it in the context of elliptic curves over the field of complex numbers. (The original version is from September, 2005. This version has an updated url for the paper [1].)
WEIL PAIRINGS AND MORAVA KTHEORY
"... In [5], M. Hopkins and the present authors showed that for every elliptic spectrum E, there is a canonical map E: MUh6i −! E of ring spectra, called the orientation, which generalises the Witten genus [11] and gives an interesting ..."
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Cited by 1 (0 self)
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In [5], M. Hopkins and the present authors showed that for every elliptic spectrum E, there is a canonical map E: MUh6i −! E of ring spectra, called the orientation, which generalises the Witten genus [11] and gives an interesting
An Identity Based Authenticated Key Agreement Protocol Based on the Weil Pairing
 Electronics Letters
, 2001
"... We describe an ID based authenticated two pass key agreement protocol which makes use of the Weil pairing. The protocol is described and its properties are discussed including the ability to add key confirmation. ..."
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Cited by 79 (2 self)
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We describe an ID based authenticated two pass key agreement protocol which makes use of the Weil pairing. The protocol is described and its properties are discussed including the ability to add key confirmation.
Results 1  10
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208