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

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

2025
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Overview
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.