000 02743nam a22005175i 4500
001 978-3-319-12991-4
003 DE-He213
005 20200420220225.0
007 cr nn 008mamaa
008 150106s2014 gw | s |||| 0|eng d
020 _a9783319129914
_9978-3-319-12991-4
024 7 _a10.1007/978-3-319-12991-4
_2doi
050 4 _aQA268
072 7 _aGPJ
_2bicssc
072 7 _aGPF
_2bicssc
072 7 _aCOM031000
_2bisacsh
082 0 4 _a003.54
_223
100 1 _aBudaghyan, Lilya.
_eauthor.
245 1 0 _aConstruction and Analysis of Cryptographic Functions
_h[electronic resource] /
_cby Lilya Budaghyan.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2014.
300 _aVIII, 168 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aIntroduction -- Generalities -- Equivalence relations of functions -- Bent functions -- New classes of APN and AB polynomials -- Construction of planar functions.
520 _aThis book covers novel research on construction and analysis of optimal cryptographic functions such as almost perfect nonlinear (APN), almost bent (AB), planar and bent functions. These functions have optimal resistance to linear and/or differential attacks, which are the two most powerful attacks on symmetric cryptosystems. Besides cryptographic applications, these functions are significant in many branches of mathematics and information theory including coding theory, combinatorics, commutative algebra, finite geometry, sequence design and quantum information theory. The author analyzes equivalence relations for these functions and develops several new methods for construction of their infinite families. In addition, the book offers solutions to two longstanding open problems, including the problem on characterization of APN and AB functions via Boolean, and the problem on the relation between two classes of bent functions.
650 0 _aComputer science.
650 0 _aData encryption (Computer 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 _aData Encryption.
650 2 4 _aDifference and Functional Equations.
650 2 4 _aCombinatorics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319129907
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-12991-4
912 _aZDB-2-SCS
942 _cEBK
999 _c52154
_d52154