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Some calculations in Krylov spaces over GF(2)
It's well known that integer factorization problem may be solved with the help of solutions of system of linear equations over GF(2) In this article we present some results that may be utilize for calculating solutions of such systems linear equations. This technique permit to work with blocks instead of single vectors, so machin-word operations may be apply. We present some new properties of formula for solution of linear matrix equation from Montgomery's article about corresponding solution algorithm. This properties leads to some properties of Krylov spaces.
system of linear equations; factorization problem; Krylov spaces; Montgomery's algorithm
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