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    REACT: Rapid Enhanced-Security Asymmetric Cryptosystem Transform

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    Seven years after the optimal asymmetric encryption padding (OAEP) which makes chosen-ciphertext secure encryption scheme from any trapdoor one-way permutation (but whose unique application is RSA), this paper presents REACT, a new conversion which applies to any weakly secure cryptosystem, in the random oracle model: it is optimal from both the computational and the security points of view. Indeed, the overload is negligible, since it just consists of two more hashings for both encryption and decryption, and the reduction is very tight. Furthermore, advantages of REACT beyond OAEP are numerous: 1. it is more general since it applies to any partially trapdoor one-way function (a.k.a. weakly secure public-key encryption scheme) and therefore provides security relative to RSA but also to the Diffie- Hellman problem or the factorization; 2. it is possible to integrate symmetric encryption (block and stream ciphers) to reach very high speed rates; 3. it provides a key distribution with session key encryption, whose overall scheme achieves chosen-ciphertext security even with weakly secure symmetric scheme. Therefore, REACT could become a new alternative to OAEP, and even reach security relative to factorization, while allowing symmetric integration.

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    Description

    Title : REACT: Rapid Enhanced-Security Asymmetric Cryptosystem Transform
    Author(s) : Tatsuaki Okamoto, David Pointcheval
    Abstract : Seven years after the optimal asymmetric encryption padding (OAEP) which makes chosen-ciphertext secure encryption scheme from any trapdoor one-way permutation (but whose unique application is RSA), this paper presents REACT, a new conversion which applies to any weakly secure cryptosystem, in the random oracle model: it is optimal from both the computational and the security points of view. Indeed, the overload is negligible, since it just consists of two more hashings for both encryption and decryption, and the reduction is very tight. Furthermore, advantages of REACT beyond OAEP are numerous: 1. it is more general since it applies to any partially trapdoor one-way function (a.k.a. weakly secure public-key encryption scheme) and therefore provides security relative to RSA but also to the Diffie- Hellman problem or the factorization; 2. it is possible to integrate symmetric encryption (block and stream ciphers) to reach very high speed rates; 3. it provides a key distribution with session key encryption, whose overall scheme achieves chosen-ciphertext security even with weakly secure symmetric scheme. Therefore, REACT could become a new alternative to OAEP, and even reach security relative to factorization, while allowing symmetric integration.
    Subject : unspecified
    Area : Other
    Language : English
    Year : 2001

    Affiliations ENS, Paris, France
    Editors : David Naccache
    Conference_title : Topics in Cryptology — CTRSA 2001
    Volume : 2020
    Publisher : Springer Berlin / Heidelberg
    Pages : 159-175
    Url : http://dx.doi.org/10.1007/3-540-45353-9_13
    Doi : 10.1007/3-540-45353-9_13

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