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<p>In the era of the Internet of Everything, the Internet of Things (IoT) has become an integral part of daily life. However, identity authentication faces significant challenges due to the wide variety of connected devices. Traditional one-to-one authentication methods struggle to meet the demands of massive-scale device networks and often fail to address the resource constraints inherent in many IoT devices. Group authentication (GA), a many-to-many authentication approach, effectively tackles the challenges associated with large-scale authentication. Since Harn introduced the Group Authentication Scheme (GAS) in 2012, extensive research has been conducted in this area. In GAS, multiple users are authenticated simultaneously rather than individually. Harn’s scheme, which is based on Shamir’s threshold scheme, requires minimal computational resources, making it well-suited for resource-constrained IoT environments. We propose an asynchronous group authentication scheme that utilizes bivariate symmetric polynomials to enable non-interactive authentication–a clear improvement over previous GAS schemes. Our security model is primarily incremental, building upon established techniques such as threshold secret sharing and the discrete logarithm problem. In particular, if the secure parameter is <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11227_2025_7404_Article_IEq1.gif" Format="GIF" Height="15" Rendition="HTML" Resolution="72" Type="Linedraw" Width="39" /> </InlineMediaObject> <EquationSource Format="TEX">\(t \le 4\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>t</mi> <mo>≤</mo> <mn>4</mn> </mrow> </math></EquationSource> </InlineEquation>, our scheme demonstrates greater efficiency than any state-of-the-art.</p>

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Efficient group authentication with multiple authentications on resource-limited devices

  • 期刊论文

  • 发表日期：

    2025年5月30日

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  • Jiangtao Yuan,
  • Jing Yang,
  • Chenyu Wang,
  • Shijie Zhou

摘要

In the era of the Internet of Everything, the Internet of Things (IoT) has become an integral part of daily life. However, identity authentication faces significant challenges due to the wide variety of connected devices. Traditional one-to-one authentication methods struggle to meet the demands of massive-scale device networks and often fail to address the resource constraints inherent in many IoT devices. Group authentication (GA), a many-to-many authentication approach, effectively tackles the challenges associated with large-scale authentication. Since Harn introduced the Group Authentication Scheme (GAS) in 2012, extensive research has been conducted in this area. In GAS, multiple users are authenticated simultaneously rather than individually. Harn’s scheme, which is based on Shamir’s threshold scheme, requires minimal computational resources, making it well-suited for resource-constrained IoT environments. We propose an asynchronous group authentication scheme that utilizes bivariate symmetric polynomials to enable non-interactive authentication–a clear improvement over previous GAS schemes. Our security model is primarily incremental, building upon established techniques such as threshold secret sharing and the discrete logarithm problem. In particular, if the secure parameter is \(t \le 4\) t ≤ 4 , our scheme demonstrates greater efficiency than any state-of-the-art.