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20092023
most citedNumber Theoretic Transform and Its Applications in Lattice-based Cryptosystems: A Survey

17 citations · 43 across the 9 of their papers we have counts for

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Showing cs.CRShow all

6 papers · 1 filter

cs.CR2023★ 2 cited

Optimized Vectorization Implementation of CRYSTALS-Dilithium

Jieyu Zheng, Haoliang Zhu, Zhenyu Song +2

CRYSTALS-Dilithium is a lattice-based signature scheme to be standardized by NIST as the primary post-quantum signature algorithm. In this work, we make a thorough study of optimiz…

cs.CR2022★ 17 cited

Number Theoretic Transform and Its Applications in Lattice-based Cryptosystems: A Survey

Zhichuang Liang, Yunlei Zhao

Number theoretic transform (NTT) is the most efficient method for multiplying two polynomials of high degree with integer coefficients, due to its series of advantages in terms of…

cs.CR2022★ 3 cited

High-Throughput GPU Implementation of Dilithium Post-Quantum Digital Signature

Shiyu Shen, Hao Yang, Wangchen Dai +3

Digital signatures are fundamental building blocks in various protocols to provide integrity and authenticity. The development of the quantum computing has raised concerns about th…

cs.CR2022★ 1 cited

Compact and Efficient KEMs over NTRU Lattices

Zhichuang Liang, Boyue Fang, Jieyu Zheng +1

The NTRU lattice is a promising candidate to construct practical cryptosystems, in particular key encapsulation mechanism (KEM), resistant to quantum computing attacks. Nevertheles…

cs.CR2021

OSKR/OKAI: Systematic Optimization of Key Encapsulation Mechanisms from Module Lattice

Shiyu Shen, Feng He, Zhichuang Liang +2

In this work, we make \emph{systematic} optimizations of key encapsulation mechanisms (KEM) based on module learning-with-errors (MLWE), covering algorithmic design, fundamental op…

cs.CR2011★ 2 cited

A New Family of Practical Non-Malleable Diffie-Hellman Protocols

Andrew C. Yao, Yunlei Zhao

Cryptography algorithm standards play a key role both to the practice of information security and to cryptography theory research. Among them, the MQV and HMQV protocols ((H)MQV, i…