%0 Conference Proceedings %T Implementation of Efficient Operations over GF(232) Using Graphics Processing Units %+ Kyushu University %+ Information Technologies and Nanotechnologies %A Tanaka, Satoshi %A Yasuda, Takanori %A Sakurai, Kouichi %Z Part 2: The 2014 Asian Conference on Availability, Reliability and Security, AsiaARES 2014 %< avec comité de lecture %( Lecture Notes in Computer Science %B 2nd Information and Communication Technology - EurAsia Conference (ICT-EurAsia) %C Bali, Indonesia %Y David Hutchison %Y Takeo Kanade %Y Bernhard Steffen %Y Demetri Terzopoulos %Y Doug Tygar %Y Gerhard Weikum %Y Linawati %Y Made Sudiana Mahendra %Y Erich J. Neuhold %Y A Min Tjoa %Y Ilsun You %Y Josef Kittler %Y Jon M. Kleinberg %Y Alfred Kobsa %Y Friedemann Mattern %Y John C. Mitchell %Y Moni Naor %Y Oscar Nierstrasz %Y C. Pandu Rangan %I Springer %3 Information and Communication Technology %V LNCS-8407 %P 602-611 %8 2014-04-14 %D 2014 %R 10.1007/978-3-642-55032-4_62 %K Efficient implementation %K multivariate public-key cryptography %K GPGPU %Z Computer Science [cs] %Z Humanities and Social Sciences/Library and information sciencesConference papers %X Evaluating non-linear multivariate polynomial systems over finite fields is an important subroutine, e.g., for encryption and signature verification in multivariate public-key cryptography. The security of multivariate cryptography definitely becomes lower if a larger field is used instead of GF(2) given the same number of bits in the key. However, we still would like to use larger fields because multivariate cryptography tends to run faster at the same level of security if a larger field is used. In this paper, we compare the efficiency of several techniques for evaluating multivariate polynomial systems over GF(232) via their implementations on graphics processing units. %G English %Z TC 5 %Z TC 8 %2 https://inria.hal.science/hal-01397276/document %2 https://inria.hal.science/hal-01397276/file/978-3-642-55032-4_62_Chapter.pdf %L hal-01397276 %U https://inria.hal.science/hal-01397276 %~ SHS %~ IFIP-LNCS %~ IFIP %~ IFIP-TC %~ IFIP-TC5 %~ IFIP-TC8 %~ IFIP-ICT-EURASIA %~ IFIP-LNCS-8407