Name
Title | ||
|---|---|---|
Design and Analysis of Fast Provably Secure Public-Key Cryptosystems Based on a Modular Squaring |
Abstract | ||
|---|---|---|
We design a provably secure public-key encryption scheme based on modular squaring (Rabin's public-key encryption scheme [28]) over ZN, where N = pdq (p and q are prime integers, and d 1), and we show that this scheme is extremely faster than the existing provably secure schemes. Security of our scheme is enhanced by the original OAEP padding scheme [3]. While Boneh presents two padding schemes that are simplified OAEP, and applies them to design provably secure Rabin-based schemes (Rabin-SAEP, Rabin-SAEP+), no previous works explores Rabin-OAEP. We gives the exact argument of security of our OAEP-based scheme. For speeding up our scheme, we develop a new technique of fast decryption, which is a modification of Takagi's method for RSA-type scheme with N = pdq [31]. Takagi's method uses Chinese Remainder Theorem (CRT), whereas our decryption requires no CRT-like computation. We also compare our scheme to existing factoring-based schemes including RSA-OAEP, Rabin-SAEP and Rabin-SAEP+. Furthermore, we consider the (future) hardness of the integer-factoring: N = pdq vs. N = pq for large size of N. |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1007/3-540-45861-1_8 | ICISC |
Keywords | Field | DocType |
provably secure rabin-based scheme,oaep-based scheme,existing provably secure scheme,modular squaring,provably secure public-key encryption,original oaep padding scheme,padding scheme,factoring-based scheme,fast provably secure public-key,fast decryption,public-key encryption scheme,rsa-type scheme,public key encryption,provable security,chinese remainder theorem,integer factorization | Discrete mathematics,Optimal asymmetric encryption padding,Chinese remainder theorem,Cryptography,Modular arithmetic,Computer science,Random oracle,Theoretical computer science,Encryption,Padding,Public-key cryptography | Conference |
ISBN | Citations | PageRank |
3-540-43319-8 | 3 | 0.40 |
References | Authors | |
18 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mototsugu Nishioka | 1 | 21 | 2.80 |
| Hisayoshi Satoh | 2 | 3 | 0.74 |
| Kouichi Sakurai | 3 | 1514 | 213.71 |