Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  propose efficient modular polynomial multiplication methods with applications in lattice-based cryptography.  provide a sparse polynomial multiplication to be used in the quotient ring $$({\mathbb {Z}}/ p{\mathbb {Z}}) [x] / (x^{n}+1)$$(Z/pZ)[x]/(xn+1). Then,  modify this algorithm with sliding window method for sparse polynomial multiplication. Moreover, the proposed methods are independent of the choice of reduction polynomial.  also implement the proposed algorithms on the Core i5-3210M CPU platform and compare them with number theoretic transform multiplication. According to the experimental results,  speed up the multiplication operation in $$({\mathbb {Z}}/ p{\mathbb {Z}}) [x] / (x^{n}+1)$$(Z/pZ)[x]/(xn+1) at least $$80~\%$$80% and improve the performance of the signature generation and verification process of GLP scheme significantly.
['Sedat Akleylek', 'Erdem Alkim', 'Zaliha Yüce Tok']
I am writing a research paper on a idea Sparse polynomial multiplication for lattice-based cryptography with small complexity
[{"from": "human", "value": "I am writing a research paper on a idea Sparse polynomial multiplication for lattice-based cryptography with small complexity"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  propose efficient modular polynomial multiplication methods with applications in lattice-based cryptography.  provide a sparse polynomial multiplication to be used in the quotient ring $$({\\mathbb {Z}}/ p{\\mathbb {Z}}) [x] / (x^{n}+1)$$(Z/pZ)[x]/(xn+1). Then,  modify this algorithm with sliding window method for sparse polynomial multiplication. Moreover, the proposed methods are independent of the choice of reduction polynomial.  also implement the proposed algorithms on the Core i5-3210M CPU platform and compare them with number theoretic transform multiplication. According to the experimental results,  speed up the multiplication operation in $$({\\mathbb {Z}}/ p{\\mathbb {Z}}) [x] / (x^{n}+1)$$(Z/pZ)[x]/(xn+1) at least $$80~\\%$$80% and improve the performance of the signature generation and verification process of GLP scheme significantly."}]