Presentation 2014-07-04
Cryptanalysis of a matrix variant of NTRU
Takanori YASUDA, Yuya YAMAGUCHI, Xavier DAHAN, Kouichi SAKURAI,
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Abstract(in English) Since its introduction in 1996, the cryptosystem NTRU has become a well-established candidate for the next generation public-key cryptography. Several generalizations, or variations of NTRU have been proposed mainly consisting in changing the ring of truncated polynomials whereby encryption/decryption are done. Considering for example the ring of matrices have appealing features, since the non-commutativity can complicate further the task of recovering a ciphertext. We consider in this paper the cryptanalysis of "matrixNTRU", a natural matrix variant proposed a few years ago. A major weakness is indeed that the lattice underlying the system is significantly smaller than expected. We finally propose a modification that prevents this weakness.
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Keyword(in English) Public-key cryptography / Lattice-based cryptography / Post-quantum cryptography / NTRU
Paper # ISEC2014-33,SITE2014-28,ICSS2014-37,EMM2014-33
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Committee ICSS
Conference Date 2014/6/26(1days)
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Registration To Information and Communication System Security (ICSS)
Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Cryptanalysis of a matrix variant of NTRU
Sub Title (in English)
Keyword(1) Public-key cryptography
Keyword(2) Lattice-based cryptography
Keyword(3) Post-quantum cryptography
Keyword(4) NTRU
1st Author's Name Takanori YASUDA
1st Author's Affiliation Institute of Systems, Information Technologies and Nanotechnologies()
2nd Author's Name Yuya YAMAGUCHI
2nd Author's Affiliation Faculty of Mathematics, Kyushu University
3rd Author's Name Xavier DAHAN
3rd Author's Affiliation Institute of Systems, Information Technologies and Nanotechnologies
4th Author's Name Kouichi SAKURAI
4th Author's Affiliation Faculty of Information Science and Electrical Engineering, Kyushu University:Institute of Systems, Information Technologies and Nanotechnologies
Date 2014-07-04
Paper # ISEC2014-33,SITE2014-28,ICSS2014-37,EMM2014-33
Volume (vol) vol.114
Number (no) 117
Page pp.pp.-
#Pages 8
Date of Issue