Chaotic maps-based three-party password-authenticated key agreement scheme

Since chaos theory related to cryptography has been addressed widely, many chaotic maps based two-party password-authenticated key agreement (2PAKA) schemes have been proposed. However, to the best of our knowledge, no chaotic maps based three-party password-authenticated key agreement (3PAKA) protocol without using a timestamp has been proposed, yet. In this paper, we propose the first chaotic maps-based 3PAKA protocol without a timestamp. The proposed protocol is not based on the traditional public key cryptosystem but is based on chaotic maps, which not only achieves perfect forward secrecy without using a timestamp, modular exponentiation and scalar multiplication on an elliptic curve, but is also robust to resist various attacks such as password guessing attacks, impersonation attacks, man-in-the-middle attacks, etc.