LEADER 05431nam 2200661 450 001 9910828146703321 005 20200520144314.0 010 $a0-12-802555-7 010 $a0-12-802318-X 035 $a(CKB)3710000000467007 035 $a(EBL)2192079 035 $a(SSID)ssj0001598418 035 $a(PQKBManifestationID)16299119 035 $a(PQKBTitleCode)TC0001598418 035 $a(PQKBWorkID)14887011 035 $a(PQKB)10986034 035 $a(Au-PeEL)EBL2192079 035 $a(CaPaEBR)ebr11093402 035 $a(CaONFJC)MIL825603 035 $a(OCoLC)919201561 035 $a(CaSebORM)9780128025550 035 $a(MiAaPQ)EBC2192079 035 $a(PPN)198684126 035 $a(EXLCZ)993710000000467007 100 $a20150901h20152015 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aBent functions $eresults and applications to cryptography /$fby Natalia Tokareva, Sobolev Institute of Mathematics, Novosibirsk State University, Novosibirsk, Russia 210 1$aLondon, UK :$cElsevier Science,$d[2015] 210 4$d©2015 215 $a1 online resource (221 p.) 300 $aDescription based upon print version of record 320 $aIncludes bibliographical references and index. 327 $aFront Cover; Bent Functions: Results and Applications to Cryptography; Copyright; Contents; Foreword; Preface; Notation; Chapter 1: Boolean Functions; Introduction; 1.1 Definitions; 1.2 Algebraic Normal Form; 1.3 Boolean Cube and Hamming Distance; 1.4 Extended Affinely Equivalent Functions; 1.5 Walsh-Hadamard Transform; 1.6 Finite Field and Boolean Functions; 1.7 Trace Function; 1.8 Polynomial Representation of a Boolean Function; 1.9 Trace Representation of a Boolean Function; 1.10 Monomial Boolean Functions; Chapter 2: Bent Functions: An Introduction; Introduction 327 $a2.1 Definition of a Nonlinearity2.2 Nonlinearity of a Random Boolean Function; 2.3 Definition of a Bent Function; 2.4 If n Is Odd?; 2.5 Open Problems; 2.6 Surveys; Chapter 3: History of Bent Functions; Introduction; 3.1 Oscar Rothaus; 3.2 V.A. Eliseev and O.P. Stepchenkov; 3.3 From the 1970s to the Present; Chapter 4: Applications of Bent Functions; Introduction; 4.1 Cryptography: Linear Cryptanalysis and Boolean Functions; 4.2 Cryptography: One Historical Example; 4.3 Cryptography: Bent Functions in CAST; 4.4 Cryptography: Bent Functions in Grain; 4.5 Cryptography: Bent Functions in HAVAL 327 $a4.6 Hadamard Matrices and Graphs4.7 Links to Coding Theory; 4.8 Bent Sequences; 4.9 Mobile Networks, CDMA; 4.10 Remarks; Chapter 5: Properties of Bent Functions; Introduction; 5.1 Degree of a Bent Function; 5.2 Affine Transformations of Bent Functions; 5.3 Rank of a Bent Function; 5.4 Dual Bent Functions; 5.5 Other Properties; Chapter 6: Equivalent Representations of Bent Functions; Introduction; 6.1 Hadamard Matrices; 6.2 Difference Sets; 6.3 Designs; 6.4 Linear Spreads; 6.5 Sets of Subspaces; 6.6 Strongly Regular Graphs; 6.7 Bent Rectangles 327 $aChapter 7: Bent Functions with a Small Number of VariablesIntroduction; 7.1 Two and Four Variables; 7.2 Six Variables; 7.3 Eight Variables; 7.4 Ten and More Variables; 7.5 Algorithms for Generation of Bent Functions; 7.6 Concluding Remarks; Chapter 8: Combinatorial Constructions of Bent Functions; Introduction; 8.1 Rothaus's Iterative Construction; 8.2 Maiorana-McFarland Class; 8.3 Partial Spreads: PS+, PS-; 8.4 Dillon's Bent Functions: PSap; 8.5 Dobbertin's Construction; 8.6 More Iterative Constructions; 8.7 Minterm Iterative Constructions; 8.8 Bent Iterative Functions: BI 327 $a8.9 Other ConstructionsChapter 9: Algebraic Constructions of Bent Functions; Introduction; 9.1 An Algebraic Approach; 9.2 Bent Exponents: General Properties; 9.3 Gold Bent Functions; 9.4 Dillon Exponent; 9.5 Kasami Bent Functions; 9.6 Canteaut-Leander Bent Functions (MF-1); 9.7 Canteaut-Charpin-Kuyreghyan Bent Functions (MF-2); 9.8 Niho Exponents; 9.9 General Algebraic Approach; 9.10 Other Constructions; Chapter 10: Bent Functions and Other Cryptographic Properties; Introduction; 10.1 Cryptographic Criteria; 10.2 High Degree and Balancedness; 10.3 Correlation Immunity and Resiliency 327 $a10.4 Algebraic Immunity 330 $aBent Functions: Results and Applications to Cryptography offers a unique survey of the objects of discrete mathematics known as Boolean bent functions. As these maximal, nonlinear Boolean functions and their generalizations have many theoretical and practical applications in combinatorics, coding theory, and cryptography, the text provides a detailed survey of their main results, presenting a systematic overview of their generalizations and applications, and considering open problems in classification and systematization of bent functions. The text is appropriate for novices and advanced 606 $aComputer security 606 $aData encryption (Computer science) 606 $aAlgebra, Boolean 615 0$aComputer security. 615 0$aData encryption (Computer science) 615 0$aAlgebra, Boolean. 676 $a511.324 700 $aTokareva$b Natalia$0959655 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910828146703321 996 $aBent functions$92174829 997 $aUNINA LEADER 02385nam0 22005653i 450 001 VAN00248550 005 20240806101414.579 017 70$2N$a9783030411534 100 $a20220725d2020 |0itac50 ba 101 $aeng 102 $aCH 105 $a|||| ||||| 200 1 $aˆA ‰Course in Algebraic Error-Correcting Codes$fSimeon Ball 210 $aCham$cBirkhäuser$cSpringer$d2020 215 $axiii, 177 p.$cill.$d24 cm 410 1$1001VAN00103268$12001 $aCompact textbooks in mathematics$1210 $aBasel [etc.]$cBirkhäuser$d2013- 500 1$3VAN00248551$aˆA ‰Course in Algebraic Error-Correcting Codes$92983605 606 $a94-XX$xInformation and communication theory, circuits [MSC 2020]$3VANC019701$2MF 606 $a94Bxx$xTheory of error-correcting codes and error-detecting codes [MSC 2020]$3VANC023595$2MF 610 $aAlgebraic error-correcting codes$9KW:K 610 $aAlgebraic geometric codes$9KW:K 610 $aBlock codes$9KW:K 610 $aCoding theory$9KW:K 610 $aCoding theory error correction$9KW:K 610 $aCyclic code$9KW:K 610 $aCyclic code error detection$9KW:K 610 $aError-Correcting Codes$9KW:K 610 $aExpanders$9KW:K 610 $aFinite fields$9KW:K 610 $aLDPC codes$9KW:K 610 $aLinear Codes$9KW:K 610 $aMDS codes$9KW:K 610 $aMasters level error-correcting codes$9KW:K 610 $aReed-Muller codes$9KW:K 610 $aReed-Muller error-correcting codes$9KW:K 610 $aShannon's theorem$9KW:K 610 $aShannon-Hartley theorem$9KW:K 610 $ap-adic codes$9KW:K 620 $aCH$dCham$3VANL001889 700 1$aBall$bSimeon$3VANV076110$0978508 712 $aBirkhäuser $3VANV108193$4650 712 $aSpringer $3VANV108073$4650 801 $aIT$bSOL$c20250530$gRICA 856 4 $uhttp://doi.org/10.1007/978-3-030-41153-4$zE-book ? Accesso al full-text attraverso riconoscimento IP di Ateneo, proxy e/o Shibboleth 899 $aBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA$1IT-CE0120$2VAN08 912 $fN 912 $aVAN00248550 950 $aBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA$d08DLOAD e-book 4518 $e08eMF4518 20220725 996 $aCourse in Algebraic Error-Correcting Codes$92983605 997 $aUNICAMPANIA LEADER 04008nam 2200481z- 450 001 9910220051703321 005 20210211 035 $a(CKB)3800000000216260 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/50091 035 $a(oapen)doab50091 035 $a(EXLCZ)993800000000216260 100 $a20202102d2016 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aIn vivo Cell Biology of Cerebral Cortical Development and Its Related Neurological Disorders: Cellular Insights into Neurogenesis and Neuronal Migration 210 $cFrontiers Media SA$d2016 215 $a1 online resource (268 p.) 225 1 $aFrontiers Research Topics 311 08$a2-88919-962-2 330 $aThe brain consists of a complex but precisely organized neural network, which provides the structural basis of higher order functions. Such a complex structure originates from a simple pseudostratified neuroepithelium. During the developing mammalian cerebral cortex, a cohort of neural progenitors, located near the ventricle, differentiates into neurons and exhibits multi-step modes of migration toward the pial surface. Tight regulation of neurogenesis and neuronal migration is essential for the determination of the neuron number in adult brains and the proper positioning of excitatory and inhibitory neurons in a specific layer, respectively. In addition, defects in neurogenesis and neuronal migration can cause several neurological disorders, such as microcephaly, periventricular heterotopia and lissencephaly. Recent advances in genetic approaches to study the developing cerebral cortex, as well as the use of a number of novel techniques, particularly in vivo electroporation and time-lapse analyses using explant slice cultures, have significantly increased our understanding of cortical development. These novel techniques have allowed for cell biological analyses of cerebral cortical development in vivo or ex vivo, showing that many cellular events, including endocytosis, cell adhesion, microtubule and actin cytoskeletal regulation, neurotransmitter release, stress response, the consequence of cellular crowding (physical force), dynamics of transcription factors, midbody release and polarity transition are required for neurogenesis and/or neuronal migration. The aim of this research topic is to highlight molecular and cellular mechanisms underlying cerebral cortical development and its related neurological disorders from the cell biological point of views, such as cell division, cell-cycle regulation, cytoskeletal organization, cell adhesion and membrane trafficking. The topic has been organized into three chapters: 1) neurogenesis and cell fate determination, 2) neuronal migration and 3) cortical development-related neurological disorders. We hope that the results and discussions contributed by all authors in this research topic will be broadly useful for further advances in basic research, as well as improvements in the etiology and care of patients suffering from neurological and psychiatric disorders. 517 $aIn vivo Cell Biology of Cerebral Cortical Development and Its Related Neurological Disorders 606 $aNeurosciences$2bicssc 610 $aCell Adhesion 610 $aCell Cycle 610 $aCell Division 610 $aCytoskeleton 610 $aEndocytosis 610 $aLissencephaly 610 $aMicrocephaly 610 $aNeurogenesis 610 $aneuronal migration 610 $aPeriventricular heterotopia 615 7$aNeurosciences 700 $aMargareta Nikolic$4auth$01305929 702 $aTakeshi Kawauchi$4auth 702 $aYoko Arai$4auth 906 $aBOOK 912 $a9910220051703321 996 $aIn vivo Cell Biology of Cerebral Cortical Development and Its Related Neurological Disorders: Cellular Insights into Neurogenesis and Neuronal Migration$93028030 997 $aUNINA