On Boolean Functions to Resist Algebraic Attacks

Name: On Boolean Functions to Resist Algebraic Attacks
Brand: VDM Verlag
SKU: 9783639266856
Price: 304.87 RON
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Some Necessary Conditions

Autor: Deepak Kumar Dalai

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Editura: VDM Verlag

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Certain properties of Boolean functions that are necessary to resist algebraic attacks are discussed...

Informații despre carte

Autor

Deepak Kumar Dalai

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2010

Pagini

152

EAN

9783639266856

ISBN

3639266854

Enbook ID

06833985

Editura

VDM Verlag

Greutate

246

Dimensiuni

229 x 154 x 15

Descriere completă

Certain properties of Boolean functions that are necessary to resist algebraic attacks are discussed. A necessary condition to resist algebraic attacks is that the function f should not have relations like fg=0 or (1+f)h=0, where g, h are nonzero functions of low degrees. The function g (resp. h) is called the annihilator of f (resp 1+f). "Algebraic Immunity(AI) of f" or, "AI(f)" is used to denote the minimum degree of the annihilators of f or 1+f. However, AI is not a sufficient condition to resist all kinds of algebraic attacks, but it is one of the most important necessary conditions. Some fundamental results like relationship between the AI and nonlinearity, the number of LI annihilators at certain degree, AI of some existing cryptographically significant functions are discussed. The first construction method to generate Boolean functions on n variables with highest possible AI is presented. Then a basic theory to generate a function with high AI is presented and is applied to construct. Other properties of these functions are studied. How the number of homogeneous linear equations, which by solving, the existence of d-degree annihilator is decided, can be reduced is analyzed.

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On Boolean Functions to Resist Algebraic Attacks

Some Necessary Conditions

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