In this paper, we propose a salted cubic unbalanced oil-vinegar (SCUOV) signature scheme. The SCUOV signature scheme relies on the difficulty of solving the multivariate cubic (MC) equation over the finite field \(\mathbb {F}_{p^n}\) where p-prime and \(n\in \mathbb {N}\) . For the construction of SCUOV we utilize the step-wise iteration method which effectively helps in minimizing the public key size and signature size. We prove that our scheme exhibit short signature size compare to existing unbalanced oil-vinegar signature scheme with maintaining same security level. Additionally, we prove that SCUOV scheme shows resistant against Direct attack and Existential Unforgeability under Chosen Message Attack (EUF-CMA).