  In the present paper we introduce a new attack on NTRU-HPS cryptosystem using lattice theory and Babai's Nearest Plane Algorithm. This attack has many similarities with the classic CVP attack on NTRU, but in our case we use a different lattice, instead of the classic lattice which is constructed with the public key. Finally, the attack is illustrated by many examples. 
Message recovery attack to NTRU using a lattice independent from the   public key