| Signature complexity | Signature cost | Verification complexity | Verification cost | Hide signature source |
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Du et al. scheme [41] | O(n) | \(v(Pr+3Sm)\) | O(n) | \(1Pr +3vSm\) | No |
Du scheme [42] | \(O(n^2)\) | 3Pr | \(O(n^2)\) | \(vPr +3Sm\) | Yes |
Yu et al. scheme [36] | O(n) | \(v(f+map)\) | O(n) | vf | No |
Our scheme | O(n) | vmap | O(n) | f | Yes |