具有良好安全性能的混沌映射二進(jìn)制序列
CHAOTIC MAP BINARY SEQUENCES WITH GOOD SECURITY
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摘要: 有限精度問(wèn)題降低了混沌映射序列的密碼學(xué)和統(tǒng)計(jì)特性,且對(duì)那些與Tent映射拓?fù)涔曹椀挠成洚a(chǎn)生的序列更可通過(guò)預(yù)測(cè)的方法精確重建。本文討論了混沌映射的拓?fù)涔曹椬儞Q及其性質(zhì),導(dǎo)出了Tent、Logistic和二階Chebyshev映射的共軛關(guān)系,并針對(duì)這種攻擊提出了一種混沌序列的產(chǎn)生方法可有效地抵抗這種攻擊。
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關(guān)鍵詞:
- 混沌映射; 序列; 拓?fù)涔曹? 安全性
Abstract: The problem of finite precision degrades the cyptologic and statistical properties of chaotic maps, and sequences generated from maps conjugated with Tent map can be reconstructed precisely by short-sequence-prediction. This paper discusses topological conjugation of chaotic maps and its properties, derives the conjugate relation between Tent, logistic and 2nd-order Chebyshev maps. A method is given to produce chaotic sequences which can sustain this predictive attack. -
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