The proposed sparse polynomial multiplication techniques can be extended to other lattice-based cryptographic schemes by adapting the algorithms to suit the specific requirements of each scheme. Since many lattice-based schemes involve polynomial operations, similar optimization strategies can be applied to improve efficiency. For example, techniques such as branchless sparse polynomial multiplication, parallelization, and encoding of challenge polynomials can be implemented in schemes like NTRUEncrypt, Kyber, and Saber. By customizing the algorithms to the polynomial structures and operations of each scheme, significant speedups and resource savings can be achieved across a range of lattice-based cryptographic applications.