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<p>In this work, we revisit the primitives decentralized attribute-based encryption (ABE) and functional encryption (FE) for inner products. Particularly, we construct decentralized ABE for the class <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\{0,1\}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">{</mo> <mn>0</mn> <mo>,</mo> <mn>1</mn> <mo stretchy="false">}</mo> </mrow> </math></EquationSource> </InlineEquation>-<InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\textsf{LSSS} \)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="sans-serif">LSSS</mi> </math></EquationSource> </InlineEquation> under LWE or DDH assumption via establishing an interesting connection between decentralized ABE and FE for inner products that satisfies a strong notion. We formalize this new notion and show how to achieve such an FE under the LWE or DDH assumption. Finally, we also point out challenges to construct decentralized ABE for general functions by establishing a relation between such an ABE and witness encryption for general NP statements.</p>

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FE for inner products and its application to multi-authority ABE

  • 期刊论文

  • 发表日期：

    2026年2月23日

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  • Zhedong Wang,
  • Xiong Fan,
  • Feng-Hao Liu

摘要

In this work, we revisit the primitives decentralized attribute-based encryption (ABE) and functional encryption (FE) for inner products. Particularly, we construct decentralized ABE for the class \(\{0,1\}\) { 0 , 1 } - \(\textsf{LSSS} \) LSSS under LWE or DDH assumption via establishing an interesting connection between decentralized ABE and FE for inner products that satisfies a strong notion. We formalize this new notion and show how to achieve such an FE under the LWE or DDH assumption. Finally, we also point out challenges to construct decentralized ABE for general functions by establishing a relation between such an ABE and witness encryption for general NP statements.