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Naslov:Almost fully optimized infinite classes of Boolean functions resistant to (fast) algebraic cryptanalysis
Avtorji:Pašalić, Enes (Avtor)
Datoteke:URL http://dx.doi.org/10.1007/978-3-642-00730-9_25
 
Jezik:Angleški jezik
Vrsta gradiva:Delo ni kategorizirano
Tipologija:1.08 - Objavljeni znanstveni prispevek na konferenci
Organizacija:FAMNIT - Fakulteta za matematiko, naravoslovje in informacijske tehnologije
Opis:In this paper the possibilities of an iterative concatenation method towards construction of Boolean functions resistant to algebraic cryptanalysis are investigated. The notion of ▫$\mathcal{AAR}$▫ (Algebraic Attack Resistant) function is introduced as a unified measure of protection against classical algebraic attacks as well as fast algebraic attacks. Then, it is shown that functions that posses the highest resistance to fast algebraic attacks are necessarily of maximum ▫$\mathcal{AI}$▫ (Algebraic Immunity), the notion defined as a minimum degree of functions that annihilate either ▫$f$▫ or ▫$1+f$▫. More precisely, if for any non-annihilating function ▫$g$▫ of degree ▫$e$▫ an optimum degreerelation ▫$e+d \ge n$▫ is satisfied in the product ▫$fg=h$▫ (denoting ▫$deg(h)=d$▫), then the function ▫$f$▫ in ▫$n$▫ variables must have maximum ▫$\mathcal{AI}$▫, i.e. for nonzero function ▫$g$▫ the relation ▫$fg=0$▫ or ▫$(1+f)g=0$▫ implies. The presented theoretical framework allows us to iteratively construct functions with maximum ▫$\mathcal{AI}$▫ satisfying ▫$e+d=n-1$▫, thus almost optimized resistance to fast algebraic cryptanalysis. This infinite class for the first time, apart from almost optimal resistance to algebraic cryptanalysis, in addition generates the functions that possess high nonlinearity (superior to previous constructions) and maximum algebraic degree, thus unifying most of the relevant cryptographic criteria.
Ključne besede:algebraic cryptoanalysis, fast algebraic attacks, algebraic immunity, annihilators, algebraic attack resistant, high degree product, stream ciphers, Boolean function
Leto izida:2009
Št. strani:Str. 399-414
UDK:512.624.95
COBISS_ID:15119705 Povezava se odpre v novem oknu
Število ogledov:1485
Število prenosov:65
Metapodatki:XML RDF-CHPDL DC-XML DC-RDF
Področja:Gradivo ni uvrščeno v področja.
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Skupna ocena:(0 glasov)
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Sekundarni jezik

Jezik:Angleški jezik
Ključne besede:kriptoanaliza, kriptografija, algebraične lastnosti, anihilatorji, Boolova funkcija

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