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<p>This paper proposes a post-quantum cryptographic framework that integrates Twisted Edwards Curves with error-correcting codes (ECCs), specifically LDPC and BCH codes, to enhance performance and resilience in resource-constrained environments. The hybrid protocol demonstrates a computational complexity of <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11128_2025_4858_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="60" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathcal {O}(\log p)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="script">O</mi> <mo stretchy="false">(</mo> <mo>log</mo> <mi>p</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> and achieves message error recovery within 10&#xa0;ms. Benchmark results show a 30% improvement in execution speed compared to traditional RSA-based schemes and significantly reduced memory overhead compared to McEliece. These metrics affirm the protocol’s suitability for IoT and mobile platforms under quantum threat models.</p>

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Post-quantum security with twisted edwards curves and ECC integration

  • 期刊论文

  • 发表日期：

    2025年7月26日

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  • R. Krishnaprabha

摘要

This paper proposes a post-quantum cryptographic framework that integrates Twisted Edwards Curves with error-correcting codes (ECCs), specifically LDPC and BCH codes, to enhance performance and resilience in resource-constrained environments. The hybrid protocol demonstrates a computational complexity of \(\mathcal {O}(\log p)\) O ( log p ) and achieves message error recovery within 10 ms. Benchmark results show a 30% improvement in execution speed compared to traditional RSA-based schemes and significantly reduced memory overhead compared to McEliece. These metrics affirm the protocol’s suitability for IoT and mobile platforms under quantum threat models.