Castagnos, Guilhem; Laguillaumie, Fabien; Tucker, Ida Threshold linearly homomorphic encryption on \(\mathrm{Z}/2^k\mathrm{Z}\). (English) Zbl 1519.94074 Agrawal, Shweta (ed.) et al., Advances in cryptology – ASIACRYPT 2022. 28th international conference on the theory and application of cryptology and information security, Taipei, Taiwan, December 5–9, 2022. Proceedings. Part II. Cham: Springer. Lect. Notes Comput. Sci. 13792, 99-129 (2023). MSC: 94A60 PDFBibTeX XMLCite \textit{G. Castagnos} et al., Lect. Notes Comput. Sci. 13792, 99--129 (2023; Zbl 1519.94074) Full Text: DOI
Bouvier, Cyril; Castagnos, Guilhem; Imbert, Laurent; Laguillaumie, Fabien I want to ride my BICYCL : BICYCL implements cryptography in class groups. (English) Zbl 1517.94070 J. Cryptology 36, No. 3, Paper No. 17, 31 p. (2023). MSC: 94A60 94A62 PDFBibTeX XMLCite \textit{C. Bouvier} et al., J. Cryptology 36, No. 3, Paper No. 17, 31 p. (2023; Zbl 1517.94070) Full Text: DOI
Castagnos, Guilhem; Laguillaumie, Fabien Linearly homomorphic encryption from \(\mathsf {DDH}\). (English) Zbl 1382.94080 Nyberg, Kaisa (ed.), Topics in cryptology – CT-RSA 2015. The cryptographer’s track at the RSA conference 2015, San Francisco, CA, USA, April 20–24, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-16714-5/pbk; 978-3-319-16715-2/ebook). Lecture Notes in Computer Science 9048, 487-505 (2015). MSC: 94A60 PDFBibTeX XMLCite \textit{G. Castagnos} and \textit{F. Laguillaumie}, Lect. Notes Comput. Sci. 9048, 487--505 (2015; Zbl 1382.94080) Full Text: DOI
Glukhov, M. M. On application of class groups of ideals of quadratic fields to the construction of public key cryptosystems. (Russian. English summary) Zbl 1469.94098 Mat. Vopr. Kriptografii 1, No. 1, 23-54 (2010). MSC: 94A60 11R11 11R29 11T71 PDFBibTeX XMLCite \textit{M. M. Glukhov}, Mat. Vopr. Kriptografii 1, No. 1, 23--54 (2010; Zbl 1469.94098) Full Text: DOI MNR
Castagnos, Guilhem; Laguillaumie, Fabien On the security of cryptosystems with quadratic decryption: The nicest cryptanalysis. (English) Zbl 1239.94041 Joux, Antoine (ed.), Advances in cryptology – EUROCRYPT 2009. 28th annual international conference on the theory and applications of cryptographic techniques, Cologne, Germany, April 26–30, 2009. Proceedings. Berlin: Springer (ISBN 978-3-642-01000-2/pbk). Lecture Notes in Computer Science 5479, 260-277 (2009). MSC: 94A60 PDFBibTeX XMLCite \textit{G. Castagnos} and \textit{F. Laguillaumie}, Lect. Notes Comput. Sci. 5479, 260--277 (2009; Zbl 1239.94041) Full Text: DOI
Jacobson, Michael J. jun.; Scheidler, Renate; Weimer, Daniel An adaptation of the NICE cryptosystem to real quadratic orders. (English) Zbl 1142.94346 Vaudenay, Serge (ed.), Progress in cryptology – AFRICACRYPT 2008. First international conference on cryptology in Africa, Casablanca, Morocco, June 11–14, 2008. Proceedings. Berlin: Springer (ISBN 978-3-540-68159-5/pbk). Lecture Notes in Computer Science 5023, 191-208 (2008). MSC: 94A60 PDFBibTeX XMLCite \textit{M. J. Jacobson jun.} et al., Lect. Notes Comput. Sci. 5023, 191--208 (2008; Zbl 1142.94346) Full Text: DOI