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Extensions of root-based attacks against PLWE via isomorphisms of rings
Iván Blanco-Chacón, Rodrigo Martín Sánchez-Ledesma, Raúl Durán Díaz
In the present work we address some key questions regarding the generalization of root-based attacks presented in [2]. In particular, we analyze potential root-based attacks extens…
Cryptanalysis of PLWE based on zero-trace quadratic roots
Beatriz Barbero-Lucas, Iván Blanco-Chacón, Raúl Durán-Díaz +2
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 Theorist, in Directions in N…
Fast polynomial arithmetic in homomorphic encryption with cyclo-multiquadratic fields
Iván Blanco-Chacón, Alberto Pedrouzo-Ulloa, Rahinatou Yuh Njah Nchiwo +1
We discuss the advantages and limitations of cyclotomic fields to have fast polynomial arithmetic within homomorphic encryption, and show how these limitations can be overcome by r…