Multi-party authenticated key agreement protocols from multi-linear forms

Joux [Lect. Notes Comput. Sci., Vol. 1838, 2000, pp. 385-394] presented a one round protocol for tripartitie key agreement and Al-Riyami and Paterson [Report 2002/035, http://eprint.iacr.org, 2002] developed a number of tripartitie, one round, authenticated protocols related to MTI and MQV protocols. Recently, Boneh and Silverleg [Applications of Multi-linear Forms to Cryptography, Contemporary Mathematics, Vol. 324, Am. Math. Soc., Providence, RI, 2003, pp. 71-90] studied multi-linear forms, which provides a one round multi-party key agreement protocol. In this paper, we propose (n+1) types of one round authenticated multi-party key agreement protocols from multi-linear forms based on the application of MTI and MQV protocols.