# Forging a new secret key in RLWE

In a RLWE setting where you are given a secret key $$s$$ and an associated public key $$pk = (p_0,p_1) = (-(p_1s+e),p_1)$$, is it possible/easy to forge a new secret key $$s'$$ such that $$p_0+p_1s'$$ has a small infinity norm? In other words is it possible/easy to forge a different secret key generating similar public keys?