Abstract | ||
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In [7] there was proposed a Schnorr-type signature scheme based on non-maximal imaginary quadratic orders, which signature generation is - for the same conjectured level of security - about twice as fast as in the original scheme [15].In this work we will significantly improve upon this result, by speeding up the generation of NICE-Schnorr-type signatures by another factor of two. While in [7] one used the surjective homomorphism F*p驴F*p 驴 Ker(驴Cl-1) to generate signatures by two modular exponentiations, we will show that there is an efficiently computable isomorphism F*p 驴 Ker(驴Cl-1) in this case, which makes the signature generation about four times as fast as in the original Schnorr scheme [15]. |
Year | DOI | Venue |
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2001 | 10.1007/3-540-45353-9_1 | CT-RSA |
Keywords | Field | DocType |
faster generation,modular exponentiation,surjective homomorphism f,conjectured level,original scheme,nice-schnorr-type signatures,original schnorr scheme,nice-schnorr-type signature,non-maximal imaginary quadratic order,computable isomorphism f,schnorr-type signature scheme,signature generation | Discrete mathematics,Computable isomorphism,Quadratic equation,Homomorphism,Modular design,Surjective function,Mathematics,Schnorr signature | Conference |
Volume | ISSN | ISBN |
2020 | 0302-9743 | 3-540-41898-9 |
Citations | PageRank | References |
3 | 0.46 | 9 |
Authors | ||
1 |
Name | Order | Citations | PageRank |
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Detlef Hühnlein | 1 | 130 | 41.35 |