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CyclicSRP - A multivariate encryption scheme with a partially cyclic public key

Journal Article


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 at ICICS 2015 a new multivariate encryption scheme called SRP, which offers efficient decryption, a small blow up factor between plaintext and ciphertext and resists all known attacks against multivariate schemes. However, similar to other MPKC schemes, the key sizes of SRP are quite large. In this paper we propose a technique 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.

UOW Authors


  •   Duong, Dung Hoang.
  •   Petzoldt, Albrecht (external author)
  •   Takagi, Tsuyoshi (external author)

Publication Date


  • 2017

Citation


  • Duong, D., Petzoldt, A. & Takagi, T. (2017). CyclicSRP - A multivariate encryption scheme with a partially cyclic public key. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, E100A (12), 2691-2698.

Scopus Eid


  • 2-s2.0-85038210630

Number Of Pages


  • 7

Start Page


  • 2691

End Page


  • 2698

Volume


  • E100A

Issue


  • 12

Place Of Publication


  • Japan

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 at ICICS 2015 a new multivariate encryption scheme called SRP, which offers efficient decryption, a small blow up factor between plaintext and ciphertext and resists all known attacks against multivariate schemes. However, similar to other MPKC schemes, the key sizes of SRP are quite large. In this paper we propose a technique 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.

UOW Authors


  •   Duong, Dung Hoang.
  •   Petzoldt, Albrecht (external author)
  •   Takagi, Tsuyoshi (external author)

Publication Date


  • 2017

Citation


  • Duong, D., Petzoldt, A. & Takagi, T. (2017). CyclicSRP - A multivariate encryption scheme with a partially cyclic public key. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, E100A (12), 2691-2698.

Scopus Eid


  • 2-s2.0-85038210630

Number Of Pages


  • 7

Start Page


  • 2691

End Page


  • 2698

Volume


  • E100A

Issue


  • 12

Place Of Publication


  • Japan