Abstract
Multivariate Public Key Cryptography (MPKC) is one of the main candidates for secure communication in a post-quantum era. Recently, Yasuda and Sakurai proposed in [8] a new multivariate encryption scheme called SRP, which is very efficient and resists all known attacks against multivariate schemes. However, the key sizes of the scheme are quite large. In this paper we propose a new strategy to reduce the key size of the SRP scheme, which enables us to reduce the size of the public key by up to \(54\,\%\). Furthermore, we can use the additional structure in the public key polynomials to speed up the encryption process of the scheme by up to \(50\,\%\). We show by experiments that our modifications do not weaken the security of the scheme.
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Notes
- 1.
By increasing r, the probability of both \((y^{(1)}_1, \dots , y^{(1)}_d)\) and \((y^{(2)}_1, \dots , y^{(2)}_d)\) leading to a solution of the linear system can be reduced arbitrarily.
References
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Acknowledgements
This research is supported by JSPS KAKENHI no. 15F15350 and 16K17644.
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Duong, D.H., Petzoldt, A., Takagi, T. (2016). Reducing the Key Size of the SRP Encryption Scheme. In: Liu, J., Steinfeld, R. (eds) Information Security and Privacy. ACISP 2016. Lecture Notes in Computer Science(), vol 9723. Springer, Cham. https://doi.org/10.1007/978-3-319-40367-0_27
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DOI: https://doi.org/10.1007/978-3-319-40367-0_27
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