{"id":"https://openalex.org/W2168449930","doi":"https://doi.org/10.1109/isit.2004.1365242","title":"Universal hash functions over GF (2/sup n/)","display_name":"Universal hash functions over GF (2/sup n/)","publication_year":2004,"publication_date":"2004-12-23","ids":{"openalex":"https://openalex.org/W2168449930","doi":"https://doi.org/10.1109/isit.2004.1365242","mag":"2168449930"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2004.1365242","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2004.1365242","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026689844","display_name":"Khoongming Khoo","orcid":null},"institutions":[{"id":"https://openalex.org/I28490864","display_name":"DSO National Laboratories","ror":"https://ror.org/03e05fb06","country_code":"SG","type":"nonprofit","lineage":["https://openalex.org/I28490864"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Khoongming Khoo","raw_affiliation_strings":["DSO National Laboratories, Singapore","DSO National Laboratories, SINGAPORE"],"affiliations":[{"raw_affiliation_string":"DSO National Laboratories, Singapore","institution_ids":["https://openalex.org/I28490864"]},{"raw_affiliation_string":"DSO National Laboratories, SINGAPORE","institution_ids":["https://openalex.org/I28490864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002667285","display_name":"Swee\u2010Huay Heng","orcid":"https://orcid.org/0000-0003-3627-2131"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Swee-Huay Heng","raw_affiliation_strings":["Tokyo Institute of Technology, Meguro, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Tokyo Institute of Technology, Meguro, Tokyo, Japan","institution_ids":["https://openalex.org/I114531698"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5026689844"],"corresponding_institution_ids":["https://openalex.org/I28490864"],"apc_list":null,"apc_paid":null,"fwci":0.4497,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.76464947,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"205","last_page":"205"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hash-function","display_name":"Hash function","score":0.7658718824386597},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.7376307249069214},{"id":"https://openalex.org/keywords/cryptosystem","display_name":"Cryptosystem","score":0.6948824524879456},{"id":"https://openalex.org/keywords/gf","display_name":"GF(2)","score":0.6412326097488403},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6174713969230652},{"id":"https://openalex.org/keywords/galois-theory","display_name":"Galois theory","score":0.5202739834785461},{"id":"https://openalex.org/keywords/sha-2","display_name":"SHA-2","score":0.5176635384559631},{"id":"https://openalex.org/keywords/modular-arithmetic","display_name":"Modular arithmetic","score":0.5029742121696472},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.4837329685688019},{"id":"https://openalex.org/keywords/message-authentication-code","display_name":"Message authentication code","score":0.47679853439331055},{"id":"https://openalex.org/keywords/cryptographic-hash-function","display_name":"Cryptographic hash function","score":0.47500598430633545},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.4575040638446808},{"id":"https://openalex.org/keywords/security-of-cryptographic-hash-functions","display_name":"Security of cryptographic hash functions","score":0.45404234528541565},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.4191029369831085},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3833175301551819},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3629096746444702},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3320741057395935},{"id":"https://openalex.org/keywords/double-hashing","display_name":"Double hashing","score":0.302706241607666},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2796173095703125},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21005916595458984},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1417914628982544},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.10660681128501892}],"concepts":[{"id":"https://openalex.org/C99138194","wikidata":"https://www.wikidata.org/wiki/Q183427","display_name":"Hash function","level":2,"score":0.7658718824386597},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.7376307249069214},{"id":"https://openalex.org/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.6948824524879456},{"id":"https://openalex.org/C156350748","wikidata":"https://www.wikidata.org/wiki/Q5513324","display_name":"GF(2)","level":3,"score":0.6412326097488403},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6174713969230652},{"id":"https://openalex.org/C94398972","wikidata":"https://www.wikidata.org/wiki/Q92552","display_name":"Galois theory","level":2,"score":0.5202739834785461},{"id":"https://openalex.org/C190157925","wikidata":"https://www.wikidata.org/wiki/Q1968605","display_name":"SHA-2","level":4,"score":0.5176635384559631},{"id":"https://openalex.org/C32049820","wikidata":"https://www.wikidata.org/wiki/Q319400","display_name":"Modular arithmetic","level":3,"score":0.5029742121696472},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.4837329685688019},{"id":"https://openalex.org/C141492731","wikidata":"https://www.wikidata.org/wiki/Q1052621","display_name":"Message authentication code","level":3,"score":0.47679853439331055},{"id":"https://openalex.org/C7608002","wikidata":"https://www.wikidata.org/wiki/Q477202","display_name":"Cryptographic hash function","level":3,"score":0.47500598430633545},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.4575040638446808},{"id":"https://openalex.org/C165511393","wikidata":"https://www.wikidata.org/wiki/Q7252276","display_name":"Security of cryptographic hash functions","level":5,"score":0.45404234528541565},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.4191029369831085},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3833175301551819},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3629096746444702},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3320741057395935},{"id":"https://openalex.org/C138111711","wikidata":"https://www.wikidata.org/wiki/Q478351","display_name":"Double hashing","level":4,"score":0.302706241607666},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2796173095703125},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21005916595458984},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1417914628982544},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.10660681128501892}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2004.1365242","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2004.1365242","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320337392","display_name":"Division of Electrical, Communications and Cyber Systems","ror":"https://ror.org/01krpsy48"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1515490145","https://openalex.org/W1567501709","https://openalex.org/W1887453827","https://openalex.org/W1985623009","https://openalex.org/W2052207834"],"related_works":["https://openalex.org/W2047181319","https://openalex.org/W1663728611","https://openalex.org/W1979022885","https://openalex.org/W2475535869","https://openalex.org/W2258873926","https://openalex.org/W2982222368","https://openalex.org/W4200187614","https://openalex.org/W179740592","https://openalex.org/W2110622401","https://openalex.org/W3082687455"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"variants":[3,23,56],"of":[4],"MMH":[5],"and":[6,63],"SQUARE":[7],"universal":[8],"hash":[9],"functions":[10],"families":[11],"over":[12],"the":[13],"finite":[14],"field":[15],"(Galois":[16],"field)":[17],"GF":[18,51],"(2/sup":[19,52],"n/).":[20],"These":[21,55],"new":[22],"are":[24,32,41],"suited":[25,43],"for":[26,37],"implementation":[27],"on":[28,44],"platforms":[29],"where":[30],"there":[31],"no":[33],"built-in":[34],"specialized":[35],"algorithms":[36],"modular":[38],"multiplication.":[39],"There":[40],"especially":[42],"platforms,":[45],"which":[46],"have":[47],"already":[48],"an":[49],"embedded":[50],"n/)-based":[53],"cryptosystem.":[54],"can":[57],"be":[58],"utilized":[59],"to":[60],"provide":[61],"efficient":[62],"secure":[64],"message":[65],"authentication.":[66]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}