Improved Verifier-Based Three-Party Password-Authenticated Key Exchange Protocol from Ideal Lattices

Table 1

Security comparison.

Scheme	Type	Difficulty problem	Verification element	Replay attack	Privacy of session key	A/B/S
Liu et al. [2]	2-party	Chebyshev chaotic map	No	Yes	Null	2/1/-
Zhang et al. [14]	3-party	DDH assumption	Yes	No	Yes	2/2/4
Yu et al. [17]	3-party	LWE	No	Yes	No	1/1/2
Shu et al. [23]	3-party	RLWE	Yes	Yes	Yes	3/4/2
Ours	3-party	RLWE	Yes	Yes	Yes	1/1/1