A Generalization of de Weger's Method

被引:5
作者
Chen, Chien-Yuan [1 ]
Hsueh, Chih-Cheng [2 ]
Lin, Yu-Feng [1 ]
机构
[1] Natl Univ Kaohsiung, Dept Comp Sci & Informat Engn, Kaohsiung 811, Taiwan
[2] Aletheia Univ, Dept Informat & Commerce, Tainan 72147, Taiwan
来源
FIFTH INTERNATIONAL CONFERENCE ON INFORMATION ASSURANCE AND SECURITY, VOL 1, PROCEEDINGS | 2009年
关键词
RSA; continued fraction attack; RSA SECRET EXPONENTS; WIENERS ATTACK; CRYPTANALYSIS;
D O I
10.1109/IAS.2009.153
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
This paper generalizes de Weger's method if the ratio of two RSA primes p/q is close to a simple fraction b/a. We can discover the secret exponent d < N-lambda/4 gamma from the convergents of e/N+1-a+b/root ab root N for |ap-bq|=N-gamma. Our method is thus reduced to de Weger's method if a=b=1. When b/a = 1/2, our method is reduced to Maitra and Sarkar's method.
引用
收藏
页码:344 / +
页数:2
相关论文
共 13 条
[1]  
[Anonymous], 1981, The Art of Computer Programming
[2]  
Blömer J, 2004, LECT NOTES COMPUT SC, V2947, P1
[3]  
CHEN CY, 1996, J INFORMATION SCI EN, V12, P277
[4]   Cryptanalysis of RSA with small prime difference [J].
de Weger, B .
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2002, 13 (01) :17-28
[5]  
Dujella A., 2004, Tatra Mountains Mathematical Publications, V29, P101
[6]  
Graham RL., 1994, Concrete Mathematics: A Foundation for Computer Science, V2
[7]  
Maitra S, 2008, LECT NOTES COMPUT SC, V5222, P228, DOI 10.1007/978-3-540-85886-7_16
[8]  
NASSR DI, 2008, 6 ACS IEEE INT C COM, P694
[9]  
Nitaj A, 2008, LECT NOTES COMPUT SC, V5023, P174
[10]  
RIVEST RL, 1978, COMMUN ACM, V21, P120, DOI 10.1145/357980.358017