FLASH, a fast multivariate signature algorithm. This article describes the particular parameter choice and implementation details of one of the rare published, but not broken signature schemes, that allow signatures to be computed and checked by a low-cost smart card. The security is controversial, since we have no proof of security, but the best known attacks require more than 2 80 computations. We called FLASH our algorithm and we also proposed SFLASH, a version that has a smaller public key and faster verification though one should be even more careful about it’s security. FLASH and SFLASH have been accepted as submissions to NESSIE (New European Schemes for Signatures, Integrity, and Encryption), a project within the Information Societies Technology Programme of the European Commission.

References in zbMATH (referenced in 44 articles , 1 standard article )

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  1. Dahal, Jeevan; McFarland, Jacob A.: A numerical method for shock driven multiphase flow with evaporating particles (2017)
  2. Duong, Dung H.; Petzoldt, Albrecht; Wang, Yacheng; Takagi, Tsuyoshi: Revisiting the cubic UOV signature scheme (2017)
  3. Winters, Andrew R.; Derigs, Dominik; Gassner, Gregor J.; Walch, Stefanie: A uniquely defined entropy stable matrix dissipation operator for high Mach number ideal MHD and compressible Euler simulations (2017)
  4. Derigs, Dominik; Winters, Andrew R.; Gassner, Gregor J.; Walch, Stefanie: A novel high-order, entropy stable, 3D AMR MHD solver with guaranteed positive pressure (2016)
  5. Hakuta, Keisuke; Sato, Hisayoshi; Takagi, Tsuyoshi: On tameness of Matsumoto-Imai central maps in three variables over the finite field $\mathbb F_2$ (2016)
  6. Hatori, Tomoharu; Ito, Atsushi M.; Nunami, Masanori; Usui, Hideyuki; Miura, Hideaki: Level-by-level artificial viscosity and visualization for MHD simulation with adaptive mesh refinement (2016)
  7. Mohamed, Mohamed Saied Emam; Petzoldt, Albrecht: The shortest signatures ever (2016)
  8. Attal, N.; Ramaprabhu, P.; Hossain, J.; Karkhanis, V.; Uddin, M.; Gord, J. R.; Roy, S.: Development and validation of a chemical reaction solver coupled to the FLASH code for combustion applications (2015)
  9. John, Benzi; Emerson, David R.; Gu, Xiao-Jun: Parallel Navier-Stokes simulations for high speed compressible flow past arbitrary geometries using FLASH (2015)
  10. Zhang, Wenbin; Tan, Chik How: MI-T-HFE, a new multivariate signature scheme (2015)
  11. Cao, Weiwei; Hu, Lei: Projective interpolation of polynomial vectors and improved key recovery attack on SFLASH (2014)
  12. Joggerst, C. C.; Nelson, Anthony; Woodward, Paul; Lovekin, Catherine; Masser, Thomas; Fryer, Chris L.; Ramaprabhu, P.; Francois, Marianne; Rockefeller, Gabriel: Cross-code comparisons of mixing during the implosion of dense cylindrical and spherical shells (2014)
  13. Lee, Dongwook: A solution accurate, efficient and stable unsplit staggered mesh scheme for three dimensional magnetohydrodynamics (2013)
  14. Bouillaguet, Charles; Fouque, Pierre-Alain; Joux, Antoine; Treger, Joana: A family of weak keys in HFE and the corresponding practical key-recovery (2011)
  15. Cao, Weiwei; Hu, Lei; Ding, Jintai; Yin, Zhijun: Kipnis-Shamir attack on unbalanced oil-vinegar scheme (2011)
  16. Murawski, K.; Lee, D.: Numerical methods of solving equations of hydrodynamics from perspectives of the code FLASH (2011)
  17. Ray, J.; Armstrong, R.; Safta, C.; Debusschere, B. J.; Allan, B. A.; Najm, H. N.: Computational frameworks for advanced combustion simulations (2011)
  18. Petzoldt, Albrecht; Bulygin, Stanislav; Buchmann, Johannes: Selecting parameters for the Rainbow signature scheme (2010)
  19. Singh, Rajesh P.; Saikia, A.; Sarma, B. K.: Poly-dragon: an efficient multivariate public key cryptosystem (2010)
  20. Clough, Crystal; Baena, John; Ding, Jintai; Yang, Bo-Yin; Chen, Ming-shing: Square, a new multivariate encryption scheme (2009)

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