论文标题
加密分析和设计基于混乱的不可逆和平行钥匙扩展模块在Galois领域
Cryptanalysis and designing chaos-based irreversible and parallel key expansion module over Galois field
论文作者
论文摘要
从不可逆性，并行性和独立性的安全标准来看，我们隐藏了AES候选障碍物密码的关键扩展模块，结果表明，内部有一些弱点，可以由攻击者探索。因此，我们设计了一个更安全的钥匙扩展模块，该模块可以满足上面的三个标准。首先，我们在相空间中构建了一个非分类的2D混沌图（2d-πecm），并具有足够的大混沌范围。然后，基于Galois字段上的2D-πECM和多项式乘法，我们设计了一个不可逆的钥匙扩展模块，该模块可以将任意长度的初始密钥转换为并行的所需数量的独立圆形键。安全性和统计结果证明了所提出的密钥扩展模块的灵活性和有效性。
From the security criteria of irreversibility, parallelizability and independence, we cryptanalyzed the key expansion modules of candidate block ciphers of AES, the results revealed that there exist some weaknesses inside, which may be explored by the attacker. Hence, we designed a more secure key expansion module that the round-key can satisfy three criteria above. First, we constructed a non-degenerate 2D chaotic map (2D-πeCM) with ergodicity in phase space and sufficient large chaotic range. Then based on 2D-πeCM and polynomial multiplication over Galois field, we designed an irreversible key expansion module, which could transform the initial key of arbitrary length to desired number of independent round keys in parallel. Security and statistical results demonstrated the flexible and effectiveness of the proposed key expansion module.
