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The private key includes the public key with it on the top. So no. Very bad idea!


No, this system is not secure. Knowledge of the private key immediately gives enough of the public key that we can immediately encrypt an arbitrary message. The NTRU decryption key includes a polynomial $f$; the encryption key is essentially $f^{-1}g$, where $g$ is a polynomial with coefficients in the set $(0, p, -p)$. Anyone with the private key can ...

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