Comments on “L-ECQV: Lightweight ECQV Implicit Certificates for Authentication in the Internet of Things”—Efficiency Improvement Based on the Certificate Digest Method

The state-of-the-art study, "L-ECQV: Lightweight ECQV Implicit Certificates for Authentication in the Internet of Things," eliminates the need for a signature within the certificate using Elliptic Curve Qu-Vanstone (ECQV) and introduces a lightweight ECQV implicit certificate structure to significantly reduce the certificate length within packets. This is a noteworthy research achievement. Building on this foundation, the current study integrates the Certificate Digest Method, allowing each packet to carry only the certificate digest rather than the full certificate, further reducing packet size. Additionally, by utilizing pre-stored public keys, this study avoids the need to reconstruct the actual public key using reconstruction data and the certificate authority’s public key during each signature verification. In the experimental setup, this study was implemented on a Raspberry Pi 4 Model B and evaluated the computational efficiency across different National Institute of Standards and Technology (NIST) and Brainpool elliptic curves.