Computation, Cryptography, and Network Security

754 Pages·2015·6.4 MB·English

by  Nicholas J. Daras

Nicholas J. Daras
Michael Th. Rassias Editors
Computation,
Cryptography,
and Network
Security
Computation, Cryptography, and Network Security

Nicholas J. Daras • Michael Th. Rassias
Editors
Computation, Cryptography,
and Network Security
123
Editors
NicholasJ.Daras MichaelTh.Rassias
DepartmentofMathematics DepartmentofMathematics
andEngineering ETHZürich
HellenicMilitaryAcademy Zürich,Switzerland
VariAttikis,Greece
ISBN978-3-319-18274-2 ISBN978-3-319-18275-9 (eBook)
DOI10.1007/978-3-319-18275-9
LibraryofCongressControlNumber:2015945103
Mathematics Subject Classification (2010): 03D25, 11U05, 26D15, 31A10, 45P05, 47G10, 47A07,
44A10,46E30,68R10,94C30
SpringerChamHeidelbergNewYorkDordrechtLondon
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Preface
This book entitled Computation, Cryptography, and Network Security brings
together a broad variety of mathematical methods and theories with several
applications from a number of disciplines. It discusses new directions for further
inventionsincomputation,cryptography,andnetworksecurity.
It is hoped to provide some good understanding of the subject of security in
the broadest sense. It consists of papers written by eminent scientists from the
international mathematical community, who present important research works in
several theories and problems. These contributions focus on both old and new
developmentsof pure and applied mathematics with emphasis to the geometryof
thezerosofapolynomial,multivariateBirkhoffinterpolation,variationalprinciples
in vector spaces, parameterized Yang-Hilbert-type integral inequalities and their
operatorexpressions,operatorspreservinglinearfunctions,integralestimatesforthe
compositionofGreen’sandboundedoperators,asymptoticbehavioroforthogonal
polynomials on the unit circle, generalized Laplace transform inequalities in
multipleweightedOrliczspaces,andfunctionalequations.
Furthermore, some survey papers are published in this volume, which are
particularly useful for a broader audience of readers, particularly in credential
technologies, cryptographic schemes, current challenges for IT security with fo-
cus on biometry, flaws in the initialization process of stream ciphers, entropy
and information measures, information theory, quantum analogues of Hermite-
Hadamard type inequalities for generalized convexity, producing fuzzy inclusion
and entropy measures, as well as applications on the unstable equilibrium points
andsystemseparationsinelectricpowersystems,andasupplychaingametheory
forcybersecurityinvestmentssubjecttonetworkvulnerability.
Wewouldliketoexpressourdeepestthankstoallthecontributorsofpaperswho,
throughtheirworks,participatedinthisbook.Wewouldalsowishtoacknowledge
the superbassistance that the staff of Springerhas providedfor the publicationof
thisbook.
Athens,Greece NicholasJ.Daras
Princeton,NJ,USA MichaelTh.Rassias
v

Contents
Transformations of Cryptographic Schemes Through
InterpolationTechniques........................................................ 1
Stamatios-AggelosN.Alexandropoulos,GerasimosC.Meletiou,
DimitriosS.Triantafyllou,andMichaelN.Vrahatis
FlawsintheInitialisationProcessofStreamCiphers........................ 19
AliAlhamdan,HarryBartlett, Ed Dawson,LeonieSimpson,
andKennethKoon-HoWong
ProducingFuzzyInclusionandEntropyMeasures .......................... 51
AthanasiosC.BogiatzisandBasilK.Papadopoulos
On Some Recent Results on Asymptotic Behavior of
OrthogonalPolynomialsontheUnitCircleandInserting
PointMasses...................................................................... 75
KenierCastilloandFranciscoMarcellán
OntheUnstableEquilibriumPointsandSystemSeparations
inElectricPowerSystems:ANumericalStudy............................... 103
JindaCui,Hsiao-DongChiang,andTaoWang
SecurityandFormationofNetwork-CentricOperations.................... 123
NicholasJ.Daras
ABio-InspiredHybridArtificialIntelligenceFrameworkfor
CyberSecurity.................................................................... 161
KonstantinosDemertzisandLazarosIliadis
Integral Estimates for the Composition of Green’s and
BoundedOperators.............................................................. 195
ShusenDingandYumingXing
ASurveyofReverseInequalitiesforf-DivergenceMeasure
inInformationTheory........................................................... 209
S.S.Dragomir
vii
viii Contents
OnGeometryoftheZerosofaPolynomial ................................... 253
N.K.GovilandEzeR.Nwaeze
ApproximationbyDurrmeyerType OperatorsPreserving
LinearFunctions ................................................................ 289
VijayGupta
Revisiting the Complex Multiplication Method for the
ConstructionofEllipticCurves................................................. 299
ElisavetKonstantinouandAristidesKontogeorgis
GeneralizedLaplace TransformInequalities in Multiple
WeightedOrliczSpaces.......................................................... 319
JichangKuang
ThresholdSecretSharingThroughMultivariateBirkhoff
Interpolation...................................................................... 331
VasileiosE.Markoutis,GerasimosC.Meletiou,
AphroditeN.Veneti,andMichaelN.Vrahatis
AdvancedTruncatedDifferentialAttacksAgainst GOST
BlockCipherandItsVariants.................................................. 351
TheodosisMourouzisandNicolasCourtois
ASupplyChainGameTheoryFrameworkforCybersecurity
InvestmentsUnderNetworkVulnerability.................................... 381
AnnaNagurney,LadimerS.Nagurney,andShivaniShukla
A Method for CreatingPrivate and Anonymous Digital
TerritoriesUsingAttribute-BasedCredentialTechnologies................. 399
PanayotisE. Nastou, Dimitra Nastouli, Panos M. Pardalos,
andYannisC.Stamatiou
QuantumAnaloguesofHermite–HadamardTypeInequalities
forGeneralizedConvexity ...................................................... 413
MuhammadAslamNoor,KhalidaInayatNoor,
andMuhammadUzairAwan
ADigitalSignatureSchemeBasedonTwoHardProblems................. 441
DimitriosPoulakisandRobertRolland
RandomnessinCryptography.................................................. 451
RobertRolland
CurrentChallengesforITSecuritywithFocusonBiometry............... 461
BenjaminTams,MichaelTh.Rassias,andPredaMiha˘ilescu
GeneralizationsofEntropyandInformationMeasures..................... 493
ThomasL.TouliasandChristosP.Kitsos
Contents ix
MaximalandVariationalPrinciplesinVectorSpaces....................... 525
MihaiTurinici
AllFunctionsg:N!NWhichhaveaSingle-FoldDiophantine
Representationare Dominated by a Limit-Computable
Functionf:Nnf0g!NWhichisImplementedinMuPAD
andWhoseComputabilityisanOpenProblem .............................. 577
ApoloniuszTyszka
ImageEncryptionSchemeBasedonNon-autonomousChaotic
Systems............................................................................ 591
ChristosK.Volos,IoannisM.Kyprianidis,IoannisStouboulos,
andViet-ThanhPham
MultipleParameterizeYang-Hilbert-TypeIntegralInequalities........... 613
BichengYang
ParameterizedYang–Hilbert-TypeIntegralInequalitiesand
TheirOperatorExpressions .................................................... 635
BichengYangandMichaelTh.Rassias
A Secure Communication Design Based on the Chaotic
LogisticMap:AnExperimentalRealizationUsingArduino
Microcontrollers.................................................................. 737
MauricioZapateiroDelaHoz,LeonardoAcho,andYolandaVidal