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An iterative technique is displayed whereby factors of arbitrary degree can be found for polynomials in one variable. Convergence is shown to occur always if a certain Jacobian does not vanish and if ...

Note: If your SageMath Python version is older than 3.9.0, some features in given scripts might not work. RSAPoly$ sage -python attack.py 256 85 4 BM The parameters ...

Methods of polynomial factorization which find the zeros one at a time require the division of the polynomial by the accepted factor. It is shown how the accuracy of this division may be increased by ...

Abstract: We have developed several methods of designing sparse periodic arrays based upon the polynomial factorization method. In these methods, transmit and receive aperture polynomials are selected ...

ABSTRACT: This work introduces a modification to the Heisenberg Uncertainty Principle (HUP) by incorporating quantum complexity, including potential nonlinear effects. Our theoretical framework ...

If you pass in a noncommutative polynomial, it will return an arbitrary valid irreducible factorization. We will make this explicit in the documentation, and push people who want the full set of ...

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We implement in an IBM quantum computer a quantum algorithm for multivariate polynomial factoring and propose a noise-avoiding protocol to distill the experimental results in the presence of noise.

1 College of Computer Science and Technology, Shanghai University of Electric Power, Shanghai, China 2 Institute of Logistics Science and Engineering, Shanghai Maritime University, Shanghai, China The ...