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Table 2 The signature size, key sizes and Relationship between signature and N for schemes

From: A survey on lattice-based digital signature

Scheme

Relationship

sig size

gpk size

sk size

Gordon et al. (2010)

Linear

\(O(\lambda ^{2}N)\)

\(O(\lambda ^{2}N)\)

\(O(\lambda ^{2})\)

Laguillaumie et al. (2013)

Logarithmic

\(O(\lambda logN)\)

\(O(\lambda ^{2}logN)\)

\(O(\lambda ^{2})\)

Luo and Jiang (2020)

Constant

\(O(\lambda log^{3}N)\)

\(O(\lambda log^{2}N)\)

\(O(\lambda log^{2}N)\)

Libert et al. (2016)

Logarithmic

\(O(\lambda logN)\)

\(O(\lambda ^{2}logN)\)

\(O(\lambda )\)

Ling et al. (2018)

Constant

\(O(\lambda )\)

\(O(\lambda )\)

\(O(\lambda )\)

Xie et al. (2019)

Linear

O(N)

O(N)

\(O(\lambda )\)

Sun et al. (2019)

Logarithmic

\(O(\lambda +log\lambda logN)\)

\(O(\lambda +log\lambda logN)\)

\(O(\lambda +log\lambda logN)\)