Lightweight signcryption scheme based on discrete Chebyshev maps

Signcryption schemes are cryptographic mechanisms providing both encryption and signing in a very efficient way. This paper presents a lightweight signcryption scheme based on Chebyshev chaotic maps over finite fields. For that, complex dynamic properties of the Chebyshev map are investigated and shown to be adequate for the construction of a signcryption scheme. The proposed signcryption scheme is proven to be secure for both outsider and insider attacks. Moreover, its computational cost is low, and the lower hardware complexity in compared with others based on elliptic curves.