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首页> 外文期刊>IEEE Transactions on Information Theory >Understanding the Related-Key Security of Feistel Ciphers From a Provable Perspective
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Understanding the Related-Key Security of Feistel Ciphers From a Provable Perspective

机译：从可行的角度了解Feistel密码的相关密钥安全性

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摘要

We initiate the provable related-key security treatment for models of practical Feistel ciphers. In detail, we consider Feistel networks with four whitening keys omega(i) (k), i = 0, 1, 2, 3, and round functions of the form f (gamma(j) (k) circle plus X), where k is the master key, omega(i) and gamma(j) are efficient transformations, and f is a public ideal function or permutation accessible by the adversary. We investigate the key-schedule conditions that are sufficient for security against XOR-induced related-key attacks up to 2(n/2) adversarial queries. When the key schedules are non-linear, we prove security for four rounds. When only affine key schedules are used, we prove security for six rounds. These also imply secure tweakable Feistel ciphers in the Random Oracle model. By shuffling the key schedules, our model unifies both the DES-like structure (known as Feistel-2 scheme in the cryptanalytic community, also known as key-alternating Feistel due to Lampe and Seurin) and the Lucifer-like model (previously analyzed by Guo and Lin). This allows us to derive concrete implications on these two (more common) models and helps understanding their related-key security difference.
机译：我们针对实用的Feistel密码模型启动可证明的相关密钥安全性处理。详细地讲，我们考虑具有四个白化键omega（i）（k），i = 0、1、2、3和形式为f（gamma（j）（k）圆加X）的舍入函数的Feistel网络。 k是主密钥，omega（i）和gamma（j）是有效的转换，而f是对手可以访问的公共理想函数或置换。我们调查了足以应对XOR引起的相关密钥攻击（最多2（n / 2）个对抗性查询）的安全性的密钥计划条件。当关键计划是非线性的时，我们证明了四轮安全性。当仅使用仿射密钥时间表时，我们证明了六轮安全性。这些也意味着在Random Oracle模型中可安全调整的Feistel密码。通过改组关键时间表，我们的模型将DES类结构（在密码分析社区中称为Feistel-2方案，由于Lampe和Seurin而又称为密钥替代Feistel）和Lucifer类模型（之前由郭和林）。这使我们能够得出这两个（更常见）模型的具体含义，并有助于理解它们的相关密钥安全性差异。

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