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- W3174202010 abstract "Homomorphic encryption became popular and powerful cryptographic primitive for various cloud computing applications. In the recent decades several developments has been made. Few schemes based on coding theory have been proposed but none of them support unlimited operations with security. We propose a modified Reed-Muller Code based symmetric key fully homomorphic encryption to improve its security by using message expansion technique. Message expansion with prepended random fixed length string provides one-to-many mapping between message and codeword, thus one-to many mapping between plaintext and ciphertext. The proposed scheme supports both (MOD 2) additive and multiplication operations unlimitedly. We make an effort to prove the security of the scheme under indistinguishability under chosen-plaintext attack (IND-CPA) through a game-based security proof. The security proof gives a mathematical analysis and its complexity of hardness. Also, it presents security analysis against all the known attacks with respect to the message expansion and homomorphic operations." @default.
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- W3174202010 date "2021-06-20" @default.
- W3174202010 modified "2023-09-23" @default.
- W3174202010 title "A Modified Symmetric Key Fully Homomorphic Encryption Scheme Based on Read-Muller Code" @default.
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- W3174202010 doi "https://doi.org/10.21123/bsj.2021.18.2(suppl.).0899" @default.
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