“…With the rapid development of identity-based cryptography [9,11,28,29,30,44,50], many researchers proposed many identity-based signature (IBS) schemes in the random oracle model or standard model [7,14,31,44]. Also, with these identitybased signature schemes, a lot of variants, such as the identity-based ring signature schemes [4,5,6,54], the identity-based group signature schemes [24,32], etc, have also been proposed. In 2006, Au et al [5] proposed a constant size identity-based linkable and revocable-iff-linked ring signature scheme.…”