Linear algebra algorithms for cryptography

As with the field type, we need a common object interface to describe how algorithms are to access black box matrices, but it only requires functions to access the matrix’s

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L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des

To verify the floating-point solution of a linear system, we adapt floating-point iterative refinements to interval arithmetic [NR]. By using alternately floating-point and

Considering that state of the art in metric learning, be it for feature vectors or time series, is oriented towards the k-NN classifier, it would be a major result to

We then apply the new variable-time amplitude amplification to design the quantum algorithms for solving systems of linear equations and testing singularity.. We expect that

Our main idea holds for general triangular families of polynomials, but it is only for the special case of divided difference that it will lead to an efficient algorithm (see

Back to the fact that V is the initial R-linear induction algebra, we show here how to define linear maps by primitive recursion in a way similar to the usual clone of