Taxonomical Security Consideration of OAEP Variants

Yuichi KOMANO  Kazuo OHTA  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E89-A   No.5   pp.1233-1245
Publication Date: 2006/05/01
Online ISSN: 1745-1337
DOI: 10.1093/ietfec/e89-a.5.1233
Print ISSN: 0916-8508
Type of Manuscript: Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
Category: 
Keyword: 
OAEP,  SAEP,  provably secure,  reduction,  Padding,  random oracle,  

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Summary: 
We first model the variants of OAEP and SAEP by changing a construction and position of a redundancy, and establish a universal proof technique in the random oracle model, the comprehensive event dividing tree. We then make a taxonomical security consideration of the variants of OAEP and SAEP, based on the assumptions of one-wayness and partial-domain one-wayness of the encryption permutation, by applying the tree. Furthermore, we demonstrate the concrete attack procedures against all insecure schemes; we insist that the security proof failure leads to some attacks. From the security consideration, we find that one of the variants leads to a scheme without the redundancy; the scheme is not PA (plaintext aware) but IND-CCA2 secure. Finally, we conclude that some of them are practical in terms of security tightness and short bandwidth.