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Block Cipher Invariants as Eigenvectors of Correlation Matrices
invariant subspace attack nonlinear invariant attack linear cryptanalysis
2018/8/21
A new approach to invariant subspaces and nonlinear invariants is developed. This results in both theoretical insights and practical attacks on block ciphers. It is shown that, with minor modification...
A method for generating realistic correlation matrices
method generating realistic correlation matrices
2011/7/6
Simulating sample correlation matrices is important in many areas of statistics. Approaches such as generating normal data and finding their sample correlation matrix or generating random uniform $[-1...
The fine structure of spectral properties for random correlation matrices: an application to financial markets
financial correlation matrices eigenvalue factor models
2011/3/23
We study some properties of eigenvalue spectra of financial correlation matrices. In particular, we investigate the nature of the large eigenvalue bulks which are observed empirically, and which have ...
Supersymmetry approach to Wishart correlation matrices: Exact results
Wishart correlation matrices
2011/1/18
We calculate the marginal probability density of real and complex Wishart correlation matrices. For deep mathematical reasons,no explicit expression could be obtained for the real case so far.
Supersymmetry approach to Wishart correlation matrices: Exact results
Statistics Theory (math.ST) Mathematical Physics (math-ph)
2010/12/17
We calculate the marginal probability density of real and complex Wishart correlation matrices. For deep mathematical reasons, no explicit expression could be obtained for the real case so far. We cir...