2012•The Journal of the Korea institute of electronic communication sciencesRequires access

Computational Complexity in Imaginary Quadratic Order

Yongtae Kim

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Abstract

In this paper, we propose a new cryptosystem based on the IQC depended on the complexity of class number and intractibility of factoring integer, and introduce two algorithm which reduce encryption and decryption times. To recognize the security of the cryptosystem, we take a simple example to analyze the complexities of public key and secret key and then introduce the operating process of the cryptosystem.

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What this paper is about

In this paper, we propose a new cryptosystem based on the IQC depended on the complexity of class number and intractibility of factoring integer, and introduce two algorithm which reduce encryption and decryption times. To recognize the security of the cryptosystem, we take a simple example to analyze the complexities of public key and secret key and then introduce the operating process of the cryptosystem.

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Available abstract

In this paper, we propose a new cryptosystem based on the IQC depended on the complexity of class number and intractibility of factoring integer, and introduce two algorithm which reduce encryption and decryption times. To recognize the security of the cryptosystem, we take a simple example to analyze the complexities of public key and secret key and then introduce the operating process of the cryptosystem.

Key concepts: Cryptosystem, Plaintext-aware encryption, Hybrid cryptosystem, Deterministic encryption, Encryption, Computer science, Theoretical computer science, Goldwasser–Micali cryptosystem

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