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The key consists of three fields: the atom type at the reaction center, atom types of adjacent neighbors, and atom types of distance neighbors.
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The keys consisted of thousands of seemingly random characters.
The watermark key consists of the watermark sequence and the angles ( 1, 2).
Install the shaft key: The shaft key consists of a depression that allows the engine keyway to go through.
The secret key consists of the central map G and two affine transformations A1 L m →L m (m=n−v1), A2 L n →L n.
The secret key consists of R, the central map (tilde {G}) and two affine transformations (A_{1} L^{m}rightarrow L^{m} (m=rtilde {n}-r), A_{2}:L^{n}rightarrow L^{n} (n=rtilde {n})).
The public key consists of L and the composed map (tilde {F}=A_{1}circ phi ^{-tilde {n}+1}circ tilde {G}circ phi ^{tilde {n}}circ A_{2}:L^{n}rightarrow L^{m}), which is a system of m quadratic polynomials of n variables over L. We denote by (tilde {F}=left (,tilde {f}_{r+1},ldots,tilde {f}_{n}right)^{T}).
The public key consists of only.
The public key consists of N=pq and h:=− u T )−1u−1∈R.
The secret key consists of primes p,q and u∈R×.
The public key consists of L, which is either a field K or (mathbb {Z}/Nmathbb {Z}), and the composed map F=A1∘G∘A2 L n →L m, which is a system of m quadratic polynomials of n variables over L. We denote by (F=left (,f_{v_{1}+1},ldots,f_{n}right)^{mathrm {T}}).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com