ECLSS: Extended Chaotic Map-Based Certificate less Signature Scheme

Abstract

Chaos theory includes the study of the behavior of dynamical systems which are extremely delicate to complex constraints. Due to inherent traits of the chaotic system, such as susceptibility to the initial condition, ergodicity, and systemic parameterization, it has been extensively used in cryptography. A certificateless signature scheme is a very functional technique that covers the flaws of an identity-based signature scheme. This paper proposes a novel certificateless signature scheme (ECLSS) employing chaotic properties. We validate that the proposed scheme is unforgeable against adaptive chosen message attacks and prove the security by using the Random Oracle Model (ROM) under the computational hard Discrete Logarithm (C-DL) Problem that attains the required goal such as non-repudiation, confidentiality, and integrity. During the security analysis of the proposed scheme, we have shown that ECLSS satisfies many security attributes. Our ECLSS scheme is implemented with the widely accepted tool "AVISPA," and efficiency is demonstrated by fabricating comparisons in the form of tabular and graphical representations. In the performance analysis section, we show that the computational cost is effectively reduced by using extended chaotic property compared to the existing certificateless signature scheme.