Algorithmic Key Generation for NTRU Sample Clauses

Algorithmic Key Generation for NTRU. In order to describe key generation in the NTRU cryptosys- tem, we require some notation. Let R = Zq[x]/(xM − 1) (10) ∈ ∈ − − − ⊂ be the polynomial ring with coefficients drawn from the integers modulo q and let T (m1, m2) R denote the subset of polynomials with m1 coefficients equal to 1, m2 to 1 (mod q), and M m1 m2 equal to 0. Key generation for NTRU begins by choosing two random polynomials: F T (mf , mf ) and g T (mg, mg + 1). The private key is F while the public key is h = g/(1 + pF ) (p is an integer parameter). The security of NTRU arises from the computational intractability of obtaining F from h for properly chosen parameters. In order to determine the required length of the common secret packet that will be used to derive the group private key in our protocol, two questions must be answered:
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