A EUF-CMA RSA Signature Scheme based on Phi-Hiding Assumption and Trapdoor Hash Function in the Standard Model

碩士 === 國立臺灣海洋大學 === 資訊工程學系 === 99 === We propose an EUF-CMA signature scheme based on Φ-hiding assumption [13] in the standard model. At the mean time, we found the RSA cryptosystem has lossy property [35]. This discovery also found by Kiltz et al [27]. On the orher side, Shamir and Tauman has propo...

Full description

Bibliographic Details
Main Authors: Chi-Hao Guan, 管紀豪
Other Authors: Pei-Yih Ting
Format: Others
Language:zh-TW
Published: 2011
Online Access:http://ndltd.ncl.edu.tw/handle/67708044707947857243
Description
Summary:碩士 === 國立臺灣海洋大學 === 資訊工程學系 === 99 === We propose an EUF-CMA signature scheme based on Φ-hiding assumption [13] in the standard model. At the mean time, we found the RSA cryptosystem has lossy property [35]. This discovery also found by Kiltz et al [27]. On the orher side, Shamir and Tauman has proposed OnLine/OffLine signature scheme [39]: When OffLine phase, decide the trapdoor hash value until OnLine phase compute the correspond preimage by trapdoor key. Using this primitive, many EUF-CMA signature scheme has been proposed such as [5]、[9]、[10]、[11]、[12]、[17]、[23]、[26]、[29]、[32]、[33]、[41]. We using the two general ideas and try to prove the security of RSA cryptosystem satisfy the EUF-CMA property in the standard model.