journal article·2025-07-03Open access

An Improved GN-AK Protocol Using Double-Base Scalar Multiplication and Point Halving over Elliptic Curves

Nicolae Constantinescu, Ioan Daniel Hunyadi, Oana-Adriana Ticleanu

Applied Sciences· Volume 15· Issue 13

Abstract

Starting from the basic form of GN-authenticated key agreement (GN-AK), the current research proposes an improved protocol by integrating a new scalar multiplication technique based on a dual-base chain representation with bases 1/2 and 3. This representation allows the use of pointwise halving operations, significantly reducing the complexity of elliptic curve calculations. The resulting protocol maintains cryptographic security based on the elliptic curve discrete logarithm problem (ECDLP) while providing improved performance for key establishment in constrained environments.
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Research context

OpenAlex topics: Cryptography and Residue Arithmetic · Cryptography and Data Security · Mobile Ad Hoc Networks

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Affiliations

Mathematics and Informatics Department, Lucian Blaga University of Sibiu, Dr. I. Ratiu Str., No. 5-7, 550012 Sibiu, Romania

Funding

Lucian Blaga University of Sibiu

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