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• W2802134469 abstract "At present, several post-quantum cryptosystems have been proposed, and lattice-based cryptography is the main candidate. Especially in the direction of digital signatures, there are now many practical lattice-based signature schemes. However, there exist few lattice-based signatures with special property such as blind signature. Blind signature was introduced by Chaum for creating untraceable payment system. Then, it is widely used in e-cash and voting, especially in the revolutionary digital cash system based on blockchain. In our paper, we present a method to construct a post-quantum blind signature based on lattice assumptions, and we proved that any existential forger against the security of the resulting scheme can solve the <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>${text {SIS}}_{q, n, m, beta }$ </tex-math></inline-formula> problem for <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$beta = widetilde {O}(dn)$ </tex-math></inline-formula> . Our main technique is the rejection sampling theory. The expected number of times needed to output a blind signature is at most <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$e^{2}$ </tex-math></inline-formula> under aborting, and our new scheme has much smaller signature size than those of all the previously proposed blind signature schemes over lattices." @default.
• W2802134469 created "2018-05-17" @default.
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• W2802134469 date "2018-01-01" @default.
• W2802134469 modified "2023-09-30" @default.
• W2802134469 title "A New Post-Quantum Blind Signature From Lattice Assumptions" @default.
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• W2802134469 doi "https://doi.org/10.1109/access.2018.2833103" @default.
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