• Communications of the Korean Mathematical Society
• /
• v.15 no.1
• /
• pp.37-44
• /
• 2000

In this paper, for a given p-adic quasicharacter $c_{v}$ : $k_{v}$longrightarrow $Q_{p}$ satisfying a special condition, we will explicitly construct an admissible pairing corresponding to $c_{v}$. We define a p-adic height on the arbitrary abelian varieties associated to divisors and $c_{v}$ by using admissible pairings at every nonarchimedean places. We also show that our p-adic height satisfies similar properties of Neron-Tate's canonical p-adic height.t.ght.t.t.

• Journal of Communications and Networks
• /
• v.14 no.1
• /
• pp.104-110
• /
• 2012

Group key agreement protocols allow a group of users, communicating over a public network, to establish a shared secret key to achieve a cryptographic goal. Protocols based on certificateless public key cryptography (CL-PKC) are preferred since CL-PKC does not need certificates to guarantee the authenticity of public keys and does not suffer from key escrow of identity-based cryptography. Most previous certificateless group key agreement protocols deploy signature schemes to achieve authentication and do not have constant rounds. No security model has been presented for group key agreement protocols based on CL-PKC. This paper presents a security model for a certificateless group key agreement protocol and proposes a constant-round group key agreement protocol based on CL-PKC. The proposed protocol does not involve any signature scheme, which increases the efficiency of the protocol. It is formally proven that the proposed protocol provides strong AKE-security and tolerates up to $n$-2 malicious insiders for weak MA-security. The protocol also resists key control attack under a weak corruption model.