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001 978-3-319-32595-8
003 DE-He213
005 20200421112556.0
007 cr nn 008mamaa
008 160809s2016 gw | s |||| 0|eng d
020 _a9783319325958
_9978-3-319-32595-8
024 7 _a10.1007/978-3-319-32595-8
_2doi
050 4 _aQA268
072 7 _aGPJ
_2bicssc
072 7 _aGPF
_2bicssc
072 7 _aCOM031000
_2bisacsh
082 0 4 _a003.54
_223
100 1 _aMesnager, Sihem.
_eauthor.
245 1 0 _aBent Functions
_h[electronic resource] :
_bFundamentals and Results /
_cby Sihem Mesnager.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2016.
300 _aXXVI, 544 p. 11 illus., 6 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aGeneralities on Boolean functions and p-ary functions -- Mathematical Foundations -- Boolean Functions and Cryptography -- Bent Functions-Generalities -- Bent Functions: Primary Constructions (Part I) -- Bent Functions: Secondary Constructions -- Bent Functions: Primary Constructions (Part II) -- Class H, Niho Bent Functions and O-Polynomials -- Subclasses of Bent Functions: Hyper-Bent Functions -- Hyper-Bent Functions: Primary Constructions with Multiple Trace Terms -- (Hyper)-Bent Functions, Exponential Sums and (Hyper-)elliptic Curves -- Bent Vectorial Functions -- Bent Functions in Arbitrary Characteristic -- Bent Functions and (Partial-)spreads -- Various Cryptographic and Algebraic Generalizations of Bent Functions -- Plateaued Functions: Generalities and Characterizations -- Plateaued Boolean Functions: Constructions of Semi-Bent Functions -- Linear Codes from Bent, Semi-Bent, and Almost Bent Functions.
520 _aThis book gives a detailed survey of the main results on bent functions over finite fields, presents a systematic overview of their generalizations, variations and applications, considers open problems in classification and systematization of bent functions, and discusses proofs of several results. This book uniquely provides a necessary comprehensive coverage of bent functions. It serves as a useful reference for researchers in discrete mathematics, coding and cryptography. Students and professors in mathematics and computer science will also find the content valuable, especially those interested in mathematical foundations of cryptography. It can be used as a supplementary text for university courses on discrete mathematics, Boolean functions, or cryptography, and is appropriate for both basic classes for under-graduate students and advanced courses for specialists in cryptography and mathematics.
650 0 _aComputer science.
650 0 _aCoding theory.
650 0 _aDifference equations.
650 0 _aFunctional equations.
650 0 _aCombinatorics.
650 1 4 _aComputer Science.
650 2 4 _aCoding and Information Theory.
650 2 4 _aCombinatorics.
650 2 4 _aDifference and Functional Equations.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319325934
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-32595-8
912 _aZDB-2-SCS
942 _cEBK
999 _c59144
_d59144