A finite set of unambiguous instructions that, given some set of initial conditions, can be performed in a prescribed sequence to achieve a certain goal and that has a recognizable set of end conditions. [Variant (probably influenced byarithmetic) ofalgorism.] ...
Now consider how to optimize multiplication. Try to separate two polynomials according to the parity of the index of xx: A(x)=A[0](x2)+xA[1](x2),B(x)=B[0](x2)+xB[1](x2)A(x)=A[0](x2)+xA[1](x2),B(x)=B[0](x2)+xB[1](x2), where A[0](x)=∑n/2−1i=...
All Algorithms implemented in Python. Contribute to Hafez-CS/Python-Algorithm development by creating an account on GitHub.
1(a), three directions, u1, u2 and u3, constitute a triangle, and the polynomials form the Bernstein basis over a triangular domain [4]. Each red function moves down to three green ones along three distinct paths in the recursive algorithm, called Triangular Pyramid Algorithm (TPA for short...
N.B.:splitis quadratic with respect to the number of shares being combined. Tiered sharing Some usages of secret sharing involve levels of access: e.g. recovering a secret requires two admin shares and three user shares. As @ba1ciu discovered, these can be implemented by building a tree ...
Lexicographically minimal string rotation (LMSR) is a problem to find the minimal one among all rotations of a string in the lexicographical order, which i
FOIL (First, Outside, Inside, Last) is an algorithm used in algebra that is used inmultiplying polynomials: the student remembers to solve a polynomial expression in the correct order: To resolve (4x + 6)(x + 2), the FOIL algorithm would be: ...
Such a technique is based on computing, through algebraic geometry methods, the set of all the embeddings of the system and on matching the coefficients of these polynomials with the ones of the embeddings of a linear system up to an output injection. The given algorithm is then relaxed to ...
the division polynomials are correct : I forgot to divide by two where k is even, the improvement of schoof is correct : I wrote in fq_poly_set_coeff(..., fmpz_get_si(q)^2,fq) instead of fq_poly_set_coeff(..., fmpz_get_si(q)*fmpz_get_si(q),fq), ...
Quantitative games are two-player zero-sum games played on directed weighted graphs. Total-payoff games—that can be seen as a refinement of the well-studied mean-payoff games—are the variant where the payoff of a play is computed as the sum of the weights. Our aim is to describe the ...