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An Alternative Group for Applications of ElGamal in Cryptographic Protocols

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dc.contributor.authorHaenni, Rolf
dc.contributor.authorKořánová, Ilona Starý
dc.contributor.editorVolkamer, Melanie
dc.contributor.editorDuenas-Cid, David
dc.contributor.editorRønne, Peter B.
dc.contributor.editorRyan, Peter Y A
dc.contributor.editorBudurushi, Jurlind
dc.contributor.editorKulyk, Oksana
dc.contributor.editorRodriguez Pérez, Adrià
dc.contributor.editorSpycher-Krivonosova, Iuliia
dc.contributor.editorKirsten, Michael
dc.contributor.editorDebant, Alexandre
dc.contributor.editorGoodman, Nicole
dc.date.accessioned2024-12-13T09:05:08Z
dc.date.available2024-12-13T09:05:08Z
dc.date.issued2023
dc.description.abstractThe subgroup of quadratic residues modulo a large safe prime is the most common choice in practice for the ElGamal cryptosystem. Computations in this group are simple and sufficiently efficient for at least 128 bits of security, and the DDH problem seems to be hard. In its practical application, however, this particular group has also several disadvantages, for example the relatively high cost for testing group membership or the uneven message space. In this paper, we discuss an alternative group for ElGamal, called multiplicative group of absolute values modulo a safe prime, which is isomorphic to the subgroup of quadratic residues, but with a slightly different group operation and much better properties for practical applications such as e-voting.en
dc.identifier.doi10.18420/e-vote-id2023_02
dc.identifier.isbn978-3-88579-741-8
dc.identifier.issn1617-5468
dc.identifier.urihttps://dl.gi.de/handle/20.500.12116/45439
dc.language.isoen
dc.publisherGesellschaft für Informatik, Bonn
dc.relation.ispartofE-Vote-ID 2023
dc.relation.ispartofseriesLecture Notes in Informatics (LNI) - Proceedings, Volume P-347
dc.subjectElGamal Encryption Scheme
dc.subjectDDH Assumption
dc.subjectGroup Theory
dc.subjectFactoring Group
dc.subjectE-Voting Protocols
dc.subjectPractical Implementations
dc.titleAn Alternative Group for Applications of ElGamal in Cryptographic Protocolsen
mci.conference.date3.-6. October 2023
mci.conference.locationLuxembourg
mci.conference.sessiontitleTrack 1: Security, Usability and Technical Issues
mci.reference.pages39-52

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P347: E-Vote-ID 2023 - Eight International Joint Conference on Electronic Voting