A new efficient asymmetric cryptosystem based on the integer factorization problem of N=p2q
In this paper, we introduce a new scheme based on the hardness of factoring integers of the shape N = p2q. Our scheme uses a combination of modular linear and modular squaring. We show that the decryption is 1-to-1 which is a great advantage over Rabin's cryptosystem. Its encryption speed has a...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Institute for Mathematical Research, Universiti Putra Malaysia
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/39041/ http://psasir.upm.edu.my/id/eprint/39041/1/39041.pdf |
| Summary: | In this paper, we introduce a new scheme based on the hardness of factoring integers of the shape N = p2q. Our scheme uses a combination of modular linear and modular squaring. We show that the decryption is 1-to-1 which is a great advantage over Rabin's cryptosystem. Its encryption speed has a complexity order faster than RSA and ECC. For decryption its speed is better than RSA and is marginally behind ECC. Constructed using a simple mathematical structure, it has low computational requirements and would enable communication devices with low computing power to deploy secure communication procedures efficiently. |
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