An efficient lightweight signature verifiable scheme for node authentication using trivariate polynomials over elliptic curve cryptography for decentralized distributed public key infrastructures

Manoj Kumar, Suryya Farhat, Kumar Gautam · 2023

Elliptic curve cryptography (ECC) plays a vital role in public key cryptography. Twisted Edwards curves (a collection of elliptic curves) are at the heart of an electronic signature scheme called the Edwards digital signature algorithm (EdDSA) that offers high performance while avoiding security problems that have surfaced in other digital signature schemes. Expressing an elliptic curve in twisted Edwards form saves time in arithmetic, even when the same curve can be expressed in the Edwards form. On the other hand, a wireless ad hoc network (WANET) is an auto-configuring and infrastructure-free network of dynamic nodes joined through wireless devices. It uses two types of cryptographic identity based infrastructure and a public key infrastructure (PKI). PKI is one of the most important and widely used infrastructures for providing secure communication. In the present work EdDSA together with trivariate polynomials over ECC are used to accelerate the execution speed of WANET for decentralized and distributed PKI.

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