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Firmas de Anillo Vinculables Post-Cuánticas de Tamaño Logarítmico Basadas en Operaciones de Agregación

Minghui Zheng1,2, Shicheng Huang1, Deju Kong1,2

  • 1School of Intelligent Science and Engineering, Hubei Minzu University, 39 Xueyuan Road, Enshi 445000, China.

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Este resumen es generado por máquina.

Este estudio presenta un nuevo esquema de firma de anillo vinculable post-cuántico que mejora significativamente la eficiencia. Ofrece mayor privacidad y seguridad para aplicaciones como criptomonedas y sistemas de votación.

Palabras clave:
árbol de Merklefirma agregadafirma de anillo vinculablecriptografía post-cuánticainviolabilidad

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Área de la Ciencia:

  • Criptografía
  • Seguridad de la Información
  • Ciencias de la Computación

Sus antecedentes:

  • Las firmas de anillo vinculables equilibran el anonimato del firmante con la prevención de abusos, crucial para criptomonedas y votación anónima.
  • Los esquemas post-cuánticos existentes enfrentan desafíos con grandes tamaños de datos y circuitos complejos debido a las pruebas de conocimiento cero.

Objetivo del estudio:

  • Desarrollar un esquema de firma de anillo vinculable post-cuántico de tamaño logarítmico que supere las limitaciones de los métodos actuales.
  • Mejorar la eficiencia y reducir la complejidad en los esquemas de firmas criptográficas post-cuánticas.

Principales métodos:

  • Se construye un árbol de Merkle a partir de las claves públicas de los miembros del anillo utilizando un algoritmo hash para operaciones logarítmicas.
  • Un novedoso esquema de firma agregada post-cuántica reemplaza los complejos protocolos de prueba de conocimiento cero.

Principales resultados:

  • El esquema propuesto cumple con los requisitos de corrección, anonimato, inviolabilidad y vinculabilidad para firmas de anillo vinculables.
  • El proceso de agregación garantiza la privacidad al no revelar información de los miembros firmantes.
  • En comparación con los esquemas basados en Dilithium, el nuevo esquema muestra mejoras drásticas: 98,25% menos tiempo de firma, 98,90% menos tiempo de verificación y 99,81% menos tamaño de firma para 1024 miembros.

Conclusiones:

  • El nuevo esquema proporciona una solución post-cuántica eficiente y segura para firmas de anillo vinculables.
  • Aborda eficazmente los problemas de complejidad y tamaño de datos de esquemas post-cuánticos anteriores.
  • Este avance tiene implicaciones significativas para aplicaciones de preservación de la privacidad en sistemas digitales.