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One of these is Bulletproofs+~\cite{chung2022bulletproofs+} which uses a weighted inner product argument instead of the standard inner product argument to achieve a better performance.
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Bulletproofs+ is also a zero-knowledge proof by itself unlike the original bulletproofs.
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Trying to modify Curdleproofs with the weighted inner product argument introduces complications that would need larger modifications and is therefore not suitable.
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This can be seen in~\autoref{sec:curdleproofs-weighted-inner-product-argument-modification-attempt}
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This can be seen in Appendix~\autoref{app:bpplus}
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A third version of the Bulletproofs protocol is Bulletproofs++~\cite{eagen2024bulletproofs++} which uses a new type of argument called the norm argument to achieve a better performance.
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This comes from the prover only needing to commit to a single vector, rather than two.
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