An Improvement of Optimal Ate Pairing on KSS Curve with Pseudo 12-Sparse Multiplication
暂无分享,去创建一个
[1] Andreas Enge,et al. Building Curves with Arbitrary Small MOV Degree over Finite Prime Fields , 2004, Journal of Cryptology.
[2] Masao Kasahara,et al. ID based Cryptosystems with Pairing on Elliptic Curve , 2003, IACR Cryptol. ePrint Arch..
[3] Antoine Joux. A One Round Protocol for Tripartite Diffie-Hellman , 2000, ANTS.
[4] Michael Scott,et al. Constructing Brezing-Weng Pairing-Friendly Elliptic Curves Using Elements in the Cyclotomic Field , 2008, Pairing.
[5] Hyang-Sook Lee,et al. Efficient and Generalized Pairing Computation on Abelian Varieties , 2009, IEEE Transactions on Information Theory.
[6] Francisco Rodríguez-Henríquez,et al. Implementing Pairings at the 192-bit Security Level , 2012, IACR Cryptol. ePrint Arch..
[7] Yasuyuki Nogami,et al. Integer Variable chi-Based Ate Pairing , 2008, Pairing.
[8] Torbjrn Granlund,et al. GNU MP 6.0 Multiple Precision Arithmetic Library , 2015 .
[9] Paulo S. L. M. Barreto,et al. Constructing Elliptic Curves with Prescribed Embedding Degrees , 2002, SCN.
[10] Eiji Okamoto,et al. Optimised Versions of the Ate and Twisted Ate Pairings , 2007, IMACC.
[11] Hovav Shacham,et al. Short Signatures from the Weil Pairing , 2001, J. Cryptol..
[12] Paulo S. L. M. Barreto,et al. Pairing-Friendly Elliptic Curves of Prime Order , 2005, Selected Areas in Cryptography.
[13] Michael Scott,et al. A Taxonomy of Pairing-Friendly Elliptic Curves , 2010, Journal of Cryptology.
[14] Masaaki Shirase,et al. Pseudo 8-Sparse Multiplication for Efficient Ate-Based Pairing on Barreto-Naehrig Curve , 2013, Pairing.
[15] Nobuo Funabiki,et al. Verifier-Local Revocation Group Signature Schemes with Backward Unlinkability from Bilinear Maps , 2005, ASIACRYPT.
[16] Tanja Lange,et al. Handbook of Elliptic and Hyperelliptic Curve Cryptography , 2005 .
[17] Michael Scott,et al. On the Final Exponentiation for Calculating Pairings on Ordinary Elliptic Curves , 2009, Pairing.
[18] Masaaki Shirase,et al. Some Efficient Algorithms for the Final Exponentiation of eta T Pairing , 2007, ISPEC.
[19] Razvan Barbulescu,et al. Extended Tower Number Field Sieve: A New Complexity for the Medium Prime Case , 2016, CRYPTO.
[20] Frederik Vercauteren,et al. Optimal Pairings , 2010, IEEE Transactions on Information Theory.
[21] Christof Paar,et al. Efficient Arithmetic in Finite Field Extensions with Application in Elliptic Curve Cryptography , 2015, Journal of Cryptology.