A complete and explicit security reduction algorithm for RSA-based cryptosystems

被引：0
|
作者：
Kurosawa, K
Schmidt-Samoa, K
Takagi, T
机构：
[1] Ibaraki Univ, Hitachi, Ibaraki 3168511, Japan
[2] Tech Univ Darmstadt, Fachbereich Informat, D-64283 Darmstadt, Germany
来源：
ADVANCES IN CRYPTOLOGY - ASIACRYPT 2003 | 2003年 / 2894卷
关键词：
provable security; euclidean algorithm; lattice reduction; RSA cryptosystem;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we introduce a conceptually very simple and demonstrative algorithm for finding small solutions (x,y) of ax + y = c mod N, where gcd(a, N) = 1. Our new algorithm is a variant of the Euclidian algorithm. Unlike former methods, it finds a small solution whenever such a solution exists. Further it runs in time O((log N)(3)), which is the same as the best known previous techniques, e.g. lattice-based solutions. We then apply our algorithm to RSA-OAEP and RSA-Paillier to obtain better security proofs. We believe that there will be many future applications of this algorithm in cryptography.
引用
收藏
页码：474 / 491
页数：18
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