{"id":"https://openalex.org/W4297979981","doi":"https://doi.org/10.1109/icc45855.2022.9838751","title":"Isomorphism in Multivariate Cryptography using the New Mersenne Number Transform","display_name":"Isomorphism in Multivariate Cryptography using the New Mersenne Number Transform","publication_year":2022,"publication_date":"2022-05-16","ids":{"openalex":"https://openalex.org/W4297979981","doi":"https://doi.org/10.1109/icc45855.2022.9838751"},"language":"en","primary_location":{"id":"doi:10.1109/icc45855.2022.9838751","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icc45855.2022.9838751","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICC 2022 - IEEE International Conference on Communications","raw_type":"proceedings-article"},"type":"conference-paper","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/A5085876666","display_name":"Kelechi Chuwkunonyerem Emerole","orcid":null},"institutions":[{"id":"https://openalex.org/I84884186","display_name":"Newcastle University","ror":"https://ror.org/01kj2bm70","country_code":"GB","type":"education","lineage":["https://openalex.org/I84884186"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Kelechi Chuwkunonyerem Emerole","raw_affiliation_strings":["Newcastle University,School of Engineering,United Kingdom","School of Engineering, Newcastle University, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Newcastle University,School of Engineering,United Kingdom","institution_ids":["https://openalex.org/I84884186"]},{"raw_affiliation_string":"School of Engineering, Newcastle University, United Kingdom","institution_ids":["https://openalex.org/I84884186"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025064240","display_name":"Said Boussakta","orcid":"https://orcid.org/0000-0001-8591-9005"},"institutions":[{"id":"https://openalex.org/I84884186","display_name":"Newcastle University","ror":"https://ror.org/01kj2bm70","country_code":"GB","type":"education","lineage":["https://openalex.org/I84884186"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Said Boussakta","raw_affiliation_strings":["Newcastle University,School of Engineering,United Kingdom","School of Engineering, Newcastle University, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Newcastle University,School of Engineering,United Kingdom","institution_ids":["https://openalex.org/I84884186"]},{"raw_affiliation_string":"School of Engineering, Newcastle University, United Kingdom","institution_ids":["https://openalex.org/I84884186"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I84884186"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16470588,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2018","issue":null,"first_page":"547","last_page":"552"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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":0.998199999332428,"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"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9961000084877014,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7265658378601074},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.5479301810264587},{"id":"https://openalex.org/keywords/mersenne-prime","display_name":"Mersenne prime","score":0.5303438901901245},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.404095858335495},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.16512715816497803}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7265658378601074},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5479301810264587},{"id":"https://openalex.org/C29641680","wikidata":"https://www.wikidata.org/wiki/Q186875","display_name":"Mersenne prime","level":2,"score":0.5303438901901245},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.404095858335495},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16512715816497803}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icc45855.2022.9838751","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icc45855.2022.9838751","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICC 2022 - IEEE International Conference on Communications","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W29048791","https://openalex.org/W1540142749","https://openalex.org/W1569499052","https://openalex.org/W1573563287","https://openalex.org/W1628272610","https://openalex.org/W1821087317","https://openalex.org/W2006395094","https://openalex.org/W2010600375","https://openalex.org/W2020296150","https://openalex.org/W2023028568","https://openalex.org/W2052575763","https://openalex.org/W2114364776","https://openalex.org/W2141900962","https://openalex.org/W2218982563","https://openalex.org/W2294173372","https://openalex.org/W2467320551","https://openalex.org/W2489174682","https://openalex.org/W2507905350","https://openalex.org/W2753899601","https://openalex.org/W2794532274","https://openalex.org/W2794822819","https://openalex.org/W3039308597","https://openalex.org/W6634245375"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2363280288","https://openalex.org/W2356863210","https://openalex.org/W2025877929","https://openalex.org/W4380898298","https://openalex.org/W2382359992","https://openalex.org/W2033442294","https://openalex.org/W2942776097","https://openalex.org/W2363807867","https://openalex.org/W2386345736"],"abstract_inverted_index":{"Multivariate":[0],"cryptosystem":[1,42],"employs":[2],"affine":[3,24,53],"isomorphism":[4,25],"to":[5,44,57,84,93,114],"hide":[6,85],"the":[7,15,19,23,29,32,36,49,52,60,75,79,86,89,95,98,101,120,129,132,136,142,146,150,155,174],"structure":[8,87],"of":[9,21,31,35,51,78,88,97,100,119,131,135,149,166,169],"quadratic":[10,33,102],"forms":[11],"that":[12,161],"make":[13],"up":[14],"central":[16],"polynomial.":[17],"However,":[18],"ease":[20],"inverting":[22],"and":[26,73,141],"consequently":[27],"finding":[28],"rank":[30,99],"form":[34,103],"core":[37,90],"map":[38],"has":[39,55],"made":[40],"such":[41],"susceptible":[43],"key":[45,62,147,171],"recovery":[46],"attacks.":[47],"Also,":[48,107],"density":[50],"matrix":[54],"led":[56],"increase":[58],"in":[59,122],"secret":[61,170],"size":[63,148,172],"with":[64],"its":[65],"attendant":[66],"overhead.":[67],"In":[68],"this":[69],"paper,":[70],"we":[71,127],"study":[72],"apply":[74],"kernel":[76,133],"function":[77,134],"New":[80,137],"Mersenne":[81,138],"number":[82],"transform":[83,144],"map(central":[91],"polynomial)":[92],"limit":[94],"interpolation":[96],"by":[104],"an":[105,164],"adversary.":[106],"a":[108],"modified":[109],"Montgomery":[110],"reduction":[111,118,168],"is":[112,163],"applied":[113],"carry":[115],"out":[116],"modulo":[117],"polynomial":[121],"degree":[123],"extension":[124],"field.":[125],"Finally,":[126],"compare":[128],"impact":[130],"Number":[139],"Transform":[140],"Affine":[143],"on":[145],"HFEv":[151],"signature":[152],"scheme.":[153],"From":[154],"result,":[156],"it":[157],"can":[158],"be":[159],"seen":[160],"their":[162],"average":[165],"69%":[167],"using":[173],"proposed":[175],"method.":[176]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}