{"id":"https://openalex.org/W2607233643","doi":"https://doi.org/10.1145/3058060.3058072","title":"On the Construction of the 4 x 4 Lightest Circulant MDS Matrices","display_name":"On the Construction of the 4 x 4 Lightest Circulant MDS Matrices","publication_year":2017,"publication_date":"2017-03-17","ids":{"openalex":"https://openalex.org/W2607233643","doi":"https://doi.org/10.1145/3058060.3058072","mag":"2607233643"},"language":"en","primary_location":{"id":"doi:10.1145/3058060.3058072","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3058060.3058072","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2017 International Conference on Cryptography, Security and Privacy","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/A5100784918","display_name":"Shiyi Zhang","orcid":"https://orcid.org/0000-0002-9375-5992"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Shiyi Zhang","raw_affiliation_strings":["Luoyang Foreign Language, University, China"],"affiliations":[{"raw_affiliation_string":"Luoyang Foreign Language, University, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079565555","display_name":"Yongjuan Wang","orcid":"https://orcid.org/0000-0001-9819-404X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yongjuan Wang","raw_affiliation_strings":["Luoyang Foreign Language, University, China"],"affiliations":[{"raw_affiliation_string":"Luoyang Foreign Language, University, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101923830","display_name":"Yang Gao","orcid":"https://orcid.org/0000-0001-5607-9449"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yang Gao","raw_affiliation_strings":["Luoyang Foreign Language, University, China"],"affiliations":[{"raw_affiliation_string":"Luoyang Foreign Language, University, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100611530","display_name":"Tao Wang","orcid":"https://orcid.org/0000-0002-8453-4979"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tao Wang","raw_affiliation_strings":["Luoyang Foreign Language, University, China"],"affiliations":[{"raw_affiliation_string":"Luoyang Foreign Language, University, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100784918"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.39,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.6883103,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9997000098228455,"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/T11130","display_name":"Coding theory and cryptography","score":0.9997000098228455,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10951","display_name":"Cryptographic Implementations and Security","score":0.9984999895095825,"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/circulant-matrix","display_name":"Circulant matrix","score":0.9605958461761475},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5701817274093628},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.5644750595092773},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.5024230480194092},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.49703410267829895},{"id":"https://openalex.org/keywords/permutation-matrix","display_name":"Permutation matrix","score":0.48740580677986145},{"id":"https://openalex.org/keywords/permutation-group","display_name":"Permutation group","score":0.4812885820865631},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.4491271674633026},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.44619375467300415},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3869132101535797},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14859822392463684},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06791937351226807}],"concepts":[{"id":"https://openalex.org/C115973184","wikidata":"https://www.wikidata.org/wiki/Q245457","display_name":"Circulant matrix","level":2,"score":0.9605958461761475},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5701817274093628},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.5644750595092773},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.5024230480194092},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.49703410267829895},{"id":"https://openalex.org/C84140500","wikidata":"https://www.wikidata.org/wiki/Q851512","display_name":"Permutation matrix","level":3,"score":0.48740580677986145},{"id":"https://openalex.org/C92957085","wikidata":"https://www.wikidata.org/wiki/Q1412905","display_name":"Permutation group","level":3,"score":0.4812885820865631},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.4491271674633026},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.44619375467300415},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3869132101535797},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14859822392463684},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06791937351226807},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3058060.3058072","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3058060.3058072","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2017 International Conference on Cryptography, Security and Privacy","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7799999713897705,"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W35428663","https://openalex.org/W66229595","https://openalex.org/W98521887","https://openalex.org/W157243396","https://openalex.org/W1424990225","https://openalex.org/W1556212265","https://openalex.org/W1572300106","https://openalex.org/W1606480398","https://openalex.org/W2016560440","https://openalex.org/W2104812861","https://openalex.org/W2109265351","https://openalex.org/W2130387215","https://openalex.org/W2141124495","https://openalex.org/W2505213174","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2978816798","https://openalex.org/W4285790638","https://openalex.org/W2050328113","https://openalex.org/W2385258248","https://openalex.org/W2394357315","https://openalex.org/W2053601698","https://openalex.org/W2967856490","https://openalex.org/W2042258047","https://openalex.org/W3013139561","https://openalex.org/W2349665798"],"abstract_inverted_index":{"4":[0,2,23,25],"x":[1,24],"MDS":[3,27,56,83,101],"(Maximal":[4],"Distance":[5],"Separable)":[6],"matrices":[7,28,57,70,84],"with":[8],"few":[9],"XORs":[10],"have":[11,32],"a":[12,97,107],"wide":[13],"range":[14],"of":[15,52,68,76,91,99],"applications":[16],"in":[17,79,110],"many":[18],"mainstream":[19],"lightweight":[20],"ciphers.":[21],"For":[22],"circulant":[26,55,82],"over":[29],"GL(4,F2),":[30],"they":[31,88,103],"at":[33],"least":[34],"12":[35],"XOR":[36],"operations.":[37],"In":[38],"this":[39],"paper,":[40],"by":[41],"traversing":[42],"their":[43],"structure":[44,64],"characteristics,":[45],"the":[46,50,53,62,66,74,80],"utter":[47],"construction":[48],"and":[49,65,95],"numeration":[51],"lightest":[54,81],"are":[58,71,86],"firstly":[59],"investigated.":[60],"Then":[61],"overall":[63],"diagrams":[67],"these":[69],"given.":[72],"Finally":[73],"characteristics":[75,90],"permutation":[77],"group":[78,93],"above":[85],"found:":[87],"possess":[89],"symmetric":[92],"S4,":[94],"for":[96],"kind":[98],"particular":[100],"matrices,":[102],"can":[104],"even":[105],"form":[106],"Klein":[108],"four-group":[109],"some":[111],"ways.":[112]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
