International Association
for Cryptologic Research

This paper designed a new extended chaotic map-based Identity-based encryption (ECM-IBE) scheme and Identity-based digital signature (ECM-IDS) scheme using extended chaotic maps. The security of the ECM-IBE scheme is based on the hardness assumption of chaotic maps-based decisional Diffie-Hellman (CDDH) problem, whereas the ECM-IDS scheme is secure based on the difficulties of chaotic maps-based discrete logarithm (CDL) problem.