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实施格罗弗的基于AES的AEAD计划

Surajit Mandal¹, Ravi Anand^2,3, Mostafizar Rahman⁴

¹Indian Institute of Technology Madras, Chennai, India.

Scientific reports

|September 10, 2024

概括

量子计算的进步对当前的密码构成威胁. 这项研究估计了格罗弗的成本.

科学领域:

密码学和量子计算安全密码学和量子计算安全
对称密钥密码学分析对称密钥分析
后量子密码学 (PQC) 评估

背景情况:

量子计算的进步需要评估现有的加密算法的安全性.
格罗弗的搜索算法通过降低搜索成本,对对称密钥加密构成重大威胁.
将密码嵌入到量子电路中对于评估量子攻击可行性至关重要.

研究的目的:

提供格罗弗对基于AES的与关联数据 (AEAD) 系统的身份验证加密的关键搜索攻击的首次成本估计:Rocca-S,AEGIS-128和Tiaoxin-346.
为了分析这些攻击,考虑国家标准与技术研究所 (NIST) 设定的电路深度限制,进行后量子加密 (PQC) 标准化过程.
为了确定这些AEAD方案在特定约束下对格罗弗算法的安全性.

主要方法:

使用QISKIT实现了Rocca-S,AEGIS-128和Tiaoxin-346的量子电路.
使用门数和深度乘以宽度指标估计攻击成本.
在NIST的最大量子电路深度约束下进行的分析.

主要成果:

据估计,格罗弗攻击的门数为:罗卡-S (1.09 × 2^253),AEGIS-128 (1.14 × 2^124) 和Tiaoxin-346 (1.22 × 2^124) .
在NIST的深度约束下,分析的AEAD方案证明了对格罗弗的关键恢复攻击的安全性.
量子电路使用QISKIT SDK.成功实现和分析了量子电路.

结论:

评估的基于AES的AEAD方案 (Rocca-S,AEGIS-128,Tiaoxin-346) 目前对格罗弗的搜索算法进行密钥恢复是安全的,考虑到NIST的PQC深度限制.
这项研究为广泛使用的对称密码的实际量子安全提供了关键的见解.
对量子算法实施和成本分析的进一步研究对于未来的加密安全至关重要.

关键词:

在 AEGIS-128 系统中,罗卡斯 - 斯罗卡斯 - 斯氧素-346的使用方法这里是格罗弗斯·格罗弗斯.格罗弗斯.格罗弗斯.格罗弗斯.格罗弗斯.吉斯基特语吉斯基特语吉斯基特语

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