{"id":"https://openalex.org/W4411798455","doi":"https://doi.org/10.18469/ikt.2024.22.4.06","title":"CALCULATION OF THE NUMBER OF ARITHMETIC OPERATIONS IN ORDER TO FIND THE INVERSE MATRIX AND INCREASE THE RELIABILITY OF ACCEPTED SYMBOLS IN THE PERMUTATION DECODING ALGORITHM USING THE EXAMPLE OF THE HAMMING CODE (7, 4, 3)","display_name":"CALCULATION OF THE NUMBER OF ARITHMETIC OPERATIONS IN ORDER TO FIND THE INVERSE MATRIX AND INCREASE THE RELIABILITY OF ACCEPTED SYMBOLS IN THE PERMUTATION DECODING ALGORITHM USING THE EXAMPLE OF THE HAMMING CODE (7, 4, 3)","publication_year":2025,"publication_date":"2025-06-30","ids":{"openalex":"https://openalex.org/W4411798455","doi":"https://doi.org/10.18469/ikt.2024.22.4.06"},"language":"en","primary_location":{"id":"doi:10.18469/ikt.2024.22.4.06","doi":"https://doi.org/10.18469/ikt.2024.22.4.06","is_oa":true,"landing_page_url":"https://doi.org/10.18469/ikt.2024.22.4.06","pdf_url":"https://doi.org/10.18469/ikt.2024.22.4.06","source":{"id":"https://openalex.org/S4210199765","display_name":"Infokommunikacionnye tehnologii","issn_l":"2073-3909","issn":["2073-3909"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Infokommunikacionnye tehnologii","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.18469/ikt.2024.22.4.06","any_repository_has_fulltext":false},"authorships":[],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10974862,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"42","last_page":"48"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.7124000191688538,"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":0.7124000191688538,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.28299999237060547,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.0020000000949949026,"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/permutation-decoding","display_name":"permutation decoding","score":0.9539999961853027},{"id":"https://openalex.org/keywords/matrix-inverse","display_name":"matrix inverse","score":0.8370000123977661},{"id":"https://openalex.org/keywords/error-vector","display_name":"error vector","score":0.4740000069141388},{"id":"https://openalex.org/keywords/code-redundancy","display_name":"code redundancy","score":0.414000004529953}],"concepts":[{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.6403516530990601},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.6247300505638123},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.6030908823013306},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.5686378479003906},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.5397371649742126},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.5291305780410767},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.5143762230873108},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.504595160484314},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4814583361148834},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.46389320492744446},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4612942934036255},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.413221150636673},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"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/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.18469/ikt.2024.22.4.06","doi":"https://doi.org/10.18469/ikt.2024.22.4.06","is_oa":true,"landing_page_url":"https://doi.org/10.18469/ikt.2024.22.4.06","pdf_url":"https://doi.org/10.18469/ikt.2024.22.4.06","source":{"id":"https://openalex.org/S4210199765","display_name":"Infokommunikacionnye tehnologii","issn_l":"2073-3909","issn":["2073-3909"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Infokommunikacionnye tehnologii","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.18469/ikt.2024.22.4.06","doi":"https://doi.org/10.18469/ikt.2024.22.4.06","is_oa":true,"landing_page_url":"https://doi.org/10.18469/ikt.2024.22.4.06","pdf_url":"https://doi.org/10.18469/ikt.2024.22.4.06","source":{"id":"https://openalex.org/S4210199765","display_name":"Infokommunikacionnye tehnologii","issn_l":"2073-3909","issn":["2073-3909"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Infokommunikacionnye tehnologii","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4411798455.pdf","grobid_xml":"https://content.openalex.org/works/W4411798455.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2943247777","https://openalex.org/W2740543340","https://openalex.org/W2120868534","https://openalex.org/W2371167013","https://openalex.org/W1493958394","https://openalex.org/W1582340598","https://openalex.org/W2794545997","https://openalex.org/W2584980534","https://openalex.org/W2182731056","https://openalex.org/W1600949677"],"abstract_inverted_index":{"Permutation":[0],"decoding":[1],"of":[2,14,25,35,50,69,80,90,97,111,118,128,144],"group":[3],"systematic":[4],"noise-resistant":[5],"codes":[6],"makes":[7],"it":[8],"possible":[9],"to":[10,41,136],"maximize":[11],"the":[12,18,31,37,43,51,61,64,78,88,94,98,106,109,115,119,122,126,132,142],"use":[13],"redundancy":[15],"inherent":[16],"in":[17,20,59,77,108],"code,":[19],"comparance":[21],"with":[22],"other":[23],"methods":[24],"digital":[26],"data":[27],"decoding.":[28],"This":[29],"solves":[30],"complex":[32],"computational":[33],"problem":[34],"finding":[36],"equivalent":[38,52,146],"code":[39,53],"needed":[40],"find":[42],"error":[44],"vector.":[45],"The":[46,67],"most":[47],"expensive":[48],"part":[49],"searching":[54],"algorithm":[55,134],"is":[56,75],"matrix":[57],"transformations,":[58],"particular,":[60],"search":[62],"for":[63,124],"inverse":[65],"matrix.":[66],"idea":[68],"implementing":[70],"a":[71],"cognitive":[72,116],"decoder":[73],"card":[74,117],"described":[76],"number":[79,110],"articles,":[81],"but":[82],"there":[83],"are":[84],"no":[85],"calculations":[86],"proving":[87],"multiplicity":[89],"winnings":[91],"and":[92,141],"showing":[93],"quantitative":[95],"effectiveness":[96],"proposed":[99],"solution.":[100],"In":[101],"this":[102],"work,":[103],"we":[104],"show":[105],"gain":[107],"operations":[112],"when":[113],"using":[114,131],"decoder.":[120],"Also,":[121],"procedure":[123],"increasing":[125],"reliability":[127],"accepted":[129],"symbols":[130],"Score":[133],"allows":[135],"avoid":[137],"repeated":[138],"permutation":[139],"definitions":[140],"calculation":[143],"an":[145],"code.":[147]},"counts_by_year":[],"updated_date":"2026-08-24T07:32:12.397491","created_date":"2025-10-10T00:00:00"}
