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　　《有限自動機及在密碼學(xué)中的應(yīng)用》主要研究有限自動機的可逆性理論及其在密碼學(xué)上的應(yīng)用。此外，也討論自治有限自動機和拉丁陣，它們與有限自動機單鑰密碼的標(biāo)準(zhǔn)形有關(guān)。有限自動機是被認(rèn)為是密碼的自然模型?！队邢拮詣訖C及在密碼學(xué)中的應(yīng)用》作者提出并發(fā)展了RaRb變換方法，用它徹底解決了有限域上（擬）線性有限自動機的結(jié)構(gòu)問題。與經(jīng)典的線性系統(tǒng)“傳輸函數(shù)方法”不同，RaRb變換方法可推廣到非線性有限自動機；大量弱可逆有限自動機及其弱逆可用它產(chǎn)生，這就導(dǎo)致基于有限自動機的公開鑰密碼（簡記為FAPKC）的提出。《有限自動機及在密碼學(xué)中的應(yīng)用》可用作計算機科學(xué)和數(shù)學(xué)專業(yè)高年級和研究生課程的參考書。

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暫缺《有限自動機及在密碼學(xué)中的應(yīng)用》作者簡介

圖書目錄

ForewordbyArtoSalomaa.
Preface
1.　Introduction
1.1　Preliminaries
1.1.1　RelationsandFunctions
1.1.2　Graphs
1.2　DefinitionsofFiniteAutomata
1.2.1　FiniteAutomataasTransducers
1.2.2　SpecialFiniteAutomata
1.2.3　CompoundFiniteAutomata
1.2.4　FiniteAutomataasRecognizers
1.3　LinearFiniteAutomata
1.4　ConceptsonInvertibility
1.5　ErrorPropagationandFeedforwardInvertibility
1.6　LabelledTreesasStatesofFiniteAutomata
2.　MutualInvertibilityandSearch
2.1　MinimalOutputWeightandInputSet
2.2　MutualInvertibilityofFiniteAutomata
2.3　FindInputbySearch
2.3.1　OnOutputSetandInputTree
2.3.2　ExhaustingSearch
2.3.3　StochasticSearch
3.　RaRbTransformationMethod
3.1　SufficientConditionsandInversion
3.2　GenerationofFiniteAutomatawithInvertibility
3.3　InvertibilityofQuasi-LinearFiniteAutomata
3.3.1　DecisionCriteria
3.3.2　StructureProblem
4.　RelationsBetweenTransformations
4.1　RelationsBetweenRaRbTransformations
4.2　CompositionofRaRbTransformations
4.3　ReducedEchelonMatrix
4.4　CanonicalDiagonalMatrixPolynomial
4.4.1　RaRbTransformationsoverMatrixPolynomial
4.4.2　RelationsBetweenRaRbTransformationandCanonicalDiagonalForm
4.4.3　RelationsofRight-Parts
4.4.4　ExistenceofTerminatingRaRbTransformationSequence
5.　StructureofFeedforwardInverses
5.1　ADecisionCriterion..
5.2　DelayFree
5.3　OneStepDelay
5.4　TwoStepDelay
6.　SomeTopicsonStructureProblem
6.1　SomeVariantsofFiniteAutomata
6.1.1　PartialFiniteAutomata
6.1.2　NondeterministicFiniteAutomata
6.2　InversesofaFiniteAutomaton
6.3　OriginalInversesofaFiniteAutomaton
6.4　WeakInversesofaFiniteAutomaton
6.5　OriginalWeakInversesofaFiniteAutomaton
6.6　WeakInverseswithBoundedErrorPropagationofaFiniteAutomaton
7.　LinearAutonomousFiniteAutomata
7.1　BinomialCoefficient
7.2　RootRepresentation
7.3　TranslationandPeriod
7.3.1　ShiftRegisters
7.3.2　FiniteAutomata
7.4　Linearization
7.5　Decimation
8.　OneKeyCryptosystemsandLatinArrays
8.1　CanonicalFormforFiniteAutomatonOneKeyCryptosystems
8.2　LatinArrays
8.2.1　Definitions
8.2.2　On(n，k，r)-LatinArrays
8.2.3　Invariant
8.2.4　AutotopismGroup
8.2.5　TheCasen=2，3
8.2.6　TheCasen=4，k≤4
8.3　LinearlyIndependentLatinArrays
8.3.1　LatinArraysofInvertibleFunctions
8.3.2　GenerationofLinearlyIndependentPermutations
9.　FiniteAutomatonPublicKeyCryptosystems
9.1　TheoreticalFundamentals
9.2　BasicAlgorithm
9.3　AnExampleofFAPKC
9.4　OnWeakKeys
9.4.1　LinearRaRbTransformationTest
9.4.2　OnAttackbyReducedEchelonMatrix
9.4.3　OnAttackbyCanonicalDiagonalMatrixPolynomial
9.5　Security
9.5.1　InversionbyaGeneralMethod
9.5.2　InversionbyDecomposingFiniteAutomata
9.5.3　ChosenPlaintextAttack
9.5.4　ExhaustingSearchandStochasticSearch
9.6　GeneralizedAlgorithms
9.6.1　SomeTheoreticalResults
9.6.2　TwoAlgorithms
References
Index