{"id":"https://openalex.org/W6925545890","doi":"https://doi.org/10.18420/e-vote-id2023_02","title":"An Alternative Group for Applications of ElGamal in Cryptographic Protocols","display_name":"An Alternative Group for Applications of ElGamal in Cryptographic Protocols","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W6925545890","doi":"https://doi.org/10.18420/e-vote-id2023_02"},"language":"en","primary_location":{"id":"doi:10.18420/e-vote-id2023_02","is_oa":true,"landing_page_url":"https://doi.org/10.18420/e-vote-id2023_02","pdf_url":null,"source":{"id":"https://openalex.org/S7407052918","display_name":"Gesellschaft f\u00fcr Informatik (GI)","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.18420/e-vote-id2023_02","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Haenni, Rolf","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Haenni, Rolf","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Ko\u0159\u00e1nov\u00e1, Ilona Star\u00fd","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ko\u0159\u00e1nov\u00e1, Ilona Star\u00fd","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.30331538,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":true,"primary_topic":{"id":"https://openalex.org/T10087","display_name":"Archaeology and ancient environmental studies","score":0.08869999647140503,"subfield":{"id":"https://openalex.org/subfields/1911","display_name":"Paleontology"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10087","display_name":"Archaeology and ancient environmental studies","score":0.08869999647140503,"subfield":{"id":"https://openalex.org/subfields/1911","display_name":"Paleontology"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12364","display_name":"Archaeological Research and Protection","score":0.07429999858140945,"subfield":{"id":"https://openalex.org/subfields/1912","display_name":"Space and Planetary Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13714","display_name":"Medieval Architecture and Archaeology","score":0.05849999934434891,"subfield":{"id":"https://openalex.org/subfields/1204","display_name":"Archeology"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/elgamal-encryption","display_name":"ElGamal encryption","score":0.9223999977111816},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.7470999956130981},{"id":"https://openalex.org/keywords/discrete-logarithm","display_name":"Discrete logarithm","score":0.6506999731063843},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.6431000232696533},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.607699990272522},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.5723000168800354},{"id":"https://openalex.org/keywords/multiplicative-group","display_name":"Multiplicative group","score":0.5128999948501587},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.43630000948905945},{"id":"https://openalex.org/keywords/quadratic-residue","display_name":"Quadratic residue","score":0.37720000743865967}],"concepts":[{"id":"https://openalex.org/C11045955","wikidata":"https://www.wikidata.org/wiki/Q1162410","display_name":"ElGamal encryption","level":4,"score":0.9223999977111816},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.7470999956130981},{"id":"https://openalex.org/C173259116","wikidata":"https://www.wikidata.org/wiki/Q864003","display_name":"Discrete logarithm","level":4,"score":0.6506999731063843},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.6431000232696533},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.607699990272522},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5723000168800354},{"id":"https://openalex.org/C92788228","wikidata":"https://www.wikidata.org/wiki/Q3777923","display_name":"Multiplicative group","level":3,"score":0.5128999948501587},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48089998960494995},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4724000096321106},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.43630000948905945},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4318000078201294},{"id":"https://openalex.org/C12817185","wikidata":"https://www.wikidata.org/wiki/Q878259","display_name":"Quadratic residue","level":2,"score":0.37720000743865967},{"id":"https://openalex.org/C33884865","wikidata":"https://www.wikidata.org/wiki/Q1254335","display_name":"Cryptographic protocol","level":3,"score":0.3675000071525574},{"id":"https://openalex.org/C132860680","wikidata":"https://www.wikidata.org/wiki/Q1328731","display_name":"ElGamal signature scheme","level":5,"score":0.3634999990463257},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.35760000348091125},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3555999994277954},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.31310001015663147},{"id":"https://openalex.org/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.30559998750686646},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.2971000075340271},{"id":"https://openalex.org/C113429393","wikidata":"https://www.wikidata.org/wiki/Q49008","display_name":"Prime number","level":2,"score":0.2969000041484833},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.2937999963760376},{"id":"https://openalex.org/C15927051","wikidata":"https://www.wikidata.org/wiki/Q246593","display_name":"Cryptographic primitive","level":4,"score":0.2922999858856201},{"id":"https://openalex.org/C2777513581","wikidata":"https://www.wikidata.org/wiki/Q5611239","display_name":"Group key","level":3,"score":0.29159998893737793},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.28780001401901245},{"id":"https://openalex.org/C157351203","wikidata":"https://www.wikidata.org/wiki/Q216906","display_name":"Multiplicative inverse","level":3,"score":0.28299999237060547},{"id":"https://openalex.org/C2780385302","wikidata":"https://www.wikidata.org/wiki/Q367158","display_name":"Protocol (science)","level":3,"score":0.27230000495910645},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2718000113964081}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.18420/e-vote-id2023_02","is_oa":true,"landing_page_url":"https://doi.org/10.18420/e-vote-id2023_02","pdf_url":null,"source":{"id":"https://openalex.org/S7407052918","display_name":"Gesellschaft f\u00fcr Informatik (GI)","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.18420/e-vote-id2023_02","is_oa":true,"landing_page_url":"https://doi.org/10.18420/e-vote-id2023_02","pdf_url":null,"source":{"id":"https://openalex.org/S7407052918","display_name":"Gesellschaft f\u00fcr Informatik (GI)","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},"sustainable_development_goals":[{"score":0.4938983619213104,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"The":[0],"subgroup":[1,97],"of":[2,35,85,98],"quadratic":[3,99],"residues":[4],"modulo":[5,88],"a":[6,89,103],"large":[7],"safe":[8,90],"prime":[9],"is":[10,93],"the":[11,18,38,59,68,96],"most":[12],"common":[13],"choice":[14],"in":[15,22],"practice":[16],"for":[17,30,57,63,80,112],"ElGamal":[19],"cryptosystem.":[20],"Computations":[21],"this":[23,50,73],"group":[24,52,65,79,84,106],"are":[25],"simple":[26],"and":[27,37,108],"sufficiently":[28],"efficient":[29],"at":[31],"least":[32],"128":[33],"bits":[34],"security,":[36],"DDH":[39],"problem":[40],"seems":[41],"to":[42,95],"be":[43],"hard.":[44],"In":[45,72],"its":[46],"practical":[47,113],"application,":[48],"however,":[49],"particular":[51],"has":[53],"also":[54],"several":[55],"disadvantages,":[56],"example":[58],"relatively":[60],"high":[61],"cost":[62],"testing":[64],"membership":[66],"or":[67],"uneven":[69],"message":[70],"space.":[71],"paper,":[74],"we":[75],"discuss":[76],"an":[77],"alternative":[78],"ElGamal,":[81],"called":[82],"multiplicative":[83],"absolute":[86],"values":[87],"prime,":[91],"which":[92],"isomorphic":[94],"residues,":[100],"but":[101],"with":[102],"slightly":[104],"different":[105],"operation":[107],"much":[109],"better":[110],"properties":[111],"applications":[114],"such":[115],"as":[116],"e-voting.":[117]},"counts_by_year":[],"updated_date":"2025-11-06T06:51:31.235846","created_date":"2025-10-10T00:00:00"}