000 | 02743nam a22005175i 4500 | ||
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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 |
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024 | 7 |
_a10.1007/978-3-319-12991-4 _2doi |
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050 | 4 | _aQA268 | |
072 | 7 |
_aGPJ _2bicssc |
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072 | 7 |
_aGPF _2bicssc |
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072 | 7 |
_aCOM031000 _2bisacsh |
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082 | 0 | 4 |
_a003.54 _223 |
100 | 1 |
_aBudaghyan, Lilya. _eauthor. |
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245 | 1 | 0 |
_aConstruction and Analysis of Cryptographic Functions _h[electronic resource] / _cby Lilya Budaghyan. |
264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2014. |
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300 |
_aVIII, 168 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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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 |