Search Results - "Durán Díaz, Raúl"

A Group Law on the Projective Plane with Applications in Public Key Cryptography by Durán Díaz, Raúl, Hernández Encinas, Luis, Muñoz Masqué, Jaime

“…In the context of new threats to Public Key Cryptography arising from a growing computational power both in classic and in quantum worlds, we present a new…”
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The Square-Zero Basis of Matrix Lie Algebras by Durán Díaz, Raúl, Gayoso Martínez, Víctor, Hernández Encinas, Luis, Muñoz Masqué, Jaime

“…A method is presented that allows one to compute the maximum number of functionally-independent invariant functions under the action of a linear algebraic…”
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A characterization of nonprime powers by DURAN DIAZ, Raul, HERNANDEZ ENCINAS, Luis, MARTIN MUNOZ, Agustin, MUNOZ MASQUE, Jaime, SONG, Seok-Zun

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Quadratic maps in two variables on arbitrary fields by Díaz, R. Durán, Encinas, Hernández, Masqué, J. Muñoz

“…Let 𝔽 be a field of characteristic different from 2 and 3, and let V be a vector space of dimension 2 over 𝔽. The generic classification of homogeneous…”
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A Generalized Approach to Root-based Attacks against PLWE by Chacón, Iván Blanco, Díaz, Raúl Durán, Sánchez-Ledesma, Rodrigo Martín

“…The Polynomial Learning With Errors problem (PLWE) serves as the background of two of the three cryptosystems standardized in August 2024 by the National…”
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Cryptanalysis of PLWE based on zero-trace quadratic roots by Barbero-Lucas, Beatriz, Blanco-Chacón, Iván, Durán-Díaz, Raúl, Nchiwo, Rahinatou Yuh Njah

“…We extend two of the attacks on the PLWE problem presented in (Y. Elias, K. E. Lauter, E. Ozman, and K. E. Stange, Ring-LWE Cryptography for the Number…”
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Trace-based cryptanalysis of cyclotomic $R_{q,0}\times R_q$-PLWE for the non-split case by Blanco-Chacón, Iván, Durán-Díaz, Raúl, Nchiwo, Rahinatou Yuh Njah, Barbero-Lucas, Beatriz

“…Communications in Mathematics, Volume 31 (2023), Issue 2 (Special issue: Euclidean lattices: theory and applications) (July 19, 2023) cm:11153 We describe a…”
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