I want to ride my BICYCL: BICYCL Implements CryptographY in CLass groups
| hal.structure.identifier | Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier [LIRMM] | |
| dc.contributor.author | BOUVIER, Cyril | |
| hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
| hal.structure.identifier | Analyse cryptographique et arithmétique [CANARI] | |
| dc.contributor.author | CASTAGNOS, Guilhem | |
| hal.structure.identifier | Exact Computing [LIRMM | ECO] | |
| dc.contributor.author | IMBERT, Laurent | |
| hal.structure.identifier | Exact Computing [LIRMM | ECO] | |
| dc.contributor.author | LAGUILLAUMIE, Fabien | |
| dc.date.accessioned | 2024-04-04T02:34:46Z | |
| dc.date.available | 2024-04-04T02:34:46Z | |
| dc.date.created | 2022 | |
| dc.date.issued | 2023-07 | |
| dc.identifier.issn | 0933-2790 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190575 | |
| dc.description.abstractEn | We introduce BICYCL an Open Source C++ library that implements arithmetic in the ideal class groups of imaginary quadratic fields, together with a set of cryptographic primitives based on class groups. It is available at https://gite.lirmm.fr/crypto/bicycl under GNU General Public License version 3 or any later version. BICYCL provides significant speed-ups on the implementation of the arithmetic of class groups. Concerning cryptographic applications, BICYCL is orders of magnitude faster than any previous pilot implementation of the CL linearly encryption scheme, making it faster than Paillier's encryption scheme at any security level. Linearly homomorphic encryption is the core of many multi-party computation protocols, sometimes involving a huge number of encryptions and homomorphic evaluations: class groupbased protocols become the best solution in terms of bandwidth and computational efficiency to rely upon. | |
| dc.description.sponsorship | Calcul réparti sécurisé : Cryptographie, Combinatoire, Calcul Formel - ANR-21-CE39-0006 | |
| dc.description.sponsorship | Secure computations - ANR-22-PECY-0003 | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.rights.uri | http://creativecommons.org/licenses/by/ | |
| dc.subject.en | class group cryptography | |
| dc.subject.en | quadratic form arithmetic | |
| dc.subject.en | implementation library | |
| dc.subject.en | linearly homomorphic encryption | |
| dc.subject.en | multi-party computation | |
| dc.title.en | I want to ride my BICYCL: BICYCL Implements CryptographY in CLass groups | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s00145-023-09459-1 | |
| dc.subject.hal | Informatique [cs]/Cryptographie et sécurité [cs.CR] | |
| bordeaux.journal | Journal of Cryptology | |
| bordeaux.page | 17 | |
| bordeaux.volume | 36 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 3 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | lirmm-03863678 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//lirmm-03863678v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Cryptology&rft.date=2023-07&rft.volume=36&rft.issue=3&rft.spage=17&rft.epage=17&rft.eissn=0933-2790&rft.issn=0933-2790&rft.au=BOUVIER,%20Cyril&CASTAGNOS,%20Guilhem&IMBERT,%20Laurent&LAGUILLAUMIE,%20Fabien&rft.genre=article |
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