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Testing the Randomness of Cryptographic Function Mappings
Statistical tests Bayesian model selection AES block cipher
2019/1/29
A cryptographic function with a fixed-length output, such as a block cipher, hash function, or message authentication code (MAC), should behave as a random mapping. The mapping's randomness can be eva...
Multivariate Cryptography with Mappings of Discrete Logarithms and Polynomials
Public key cryptography and digital signature Digital certificates Multivariate analysis
2016/12/10
In this paper, algorithms for multivariate public key cryptography and digital signature are described. Plain messages and encrypted messages are arrays, consisting of elements from a fixed finite rin...
Attacks against Filter Generators Exploiting Monomial Mappings
Stream ciphers correlation attacks LFSR
2016/4/18
Filter generators are vulnerable to several attacks which have led to well-known design criteria on the Boolean filtering function. However, R鴑jom and Cid have observed that a change of the primitive ...
Spectral characterization of iterating lossy mappings
iterative lossy mappings correlation matrices non-uniformity
2016/2/23
In this paper we study what happens to sets when we iteratively apply lossy (round) mappings
to them. We describe the information loss as imbalances of parities of intermediate distributions
and sho...
MDS codes and matrices are closely related to combinatorial
objects like orthogonal arrays and multipermutations.
Conventional MDS codes and matrices were defined on finite fields,
but several gene...
Bitwise Linear Mappings with Good Cryptographic Properties and Efficient Implementation
symmetric ciphers cryptographic properties
2016/1/3
Linear mappings are crucial components of symmetric ciphers. A
special type of linear mappings are (0,1)-matrices which have been used in
symmetric ciphers such as ARIA, E2 and Camellia as diffusion...
On the Affine Equivalence and Nonlinearity Preserving Bijective Mappings
Boolean functions nonlinearity affine equivalence automorphism groups Sylvester Hadamard matrices
2011/1/5
It is well-known that affine equivalence relations keep nonlineaerity invariant for all Boolean functions. The set of all Boolean functions, $\mathcal{F}_n$, over $\bbbf_2^n$, is naturally regarded as...
An infinite class of quadratic APN functions which are not equivalent to power mappings
Vectorial Boolean function S-box Nonlinearity, Differential uniformity
2009/3/10
We exhibit an infinite class of almost perfect nonlinear quadratic polynomials
from F2n to F2n (n ¸ 12, n divisible by 3 but not by 9). We prove that these
functions are EA-inequivalent to any...
Algebraic Immunity of S-boxes Based on Power Mappings:Analysis and Construction
Algebraic immunity Bi-affine equations Power mapping Quadratic equations
2008/12/18
The algebraic immunity of an S-box depends on the number and type of linearly
independent multivariate equations it satisfies. In this paper techniques are developed to find the
number of linearly i...
Locally Invertible Boolean Mappings
Boolean mapping Boolean function locally invertible mapping resetable mapping
2008/5/30
The aim of this paper is to study a novel property of Boolean mappings called local intertibility.We focus on local invertibility of Boolean mappings which model ltering generators and study the case...