{"id":"https://openalex.org/W4399171738","doi":"https://doi.org/10.1142/s1793830924500551","title":"Spectral codes of real symmetric operators for error correction","display_name":"Spectral codes of real symmetric operators for error correction","publication_year":2024,"publication_date":"2024-05-30","ids":{"openalex":"https://openalex.org/W4399171738","doi":"https://doi.org/10.1142/s1793830924500551"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830924500551","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830924500551","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-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/A5017762883","display_name":"N. Suresh Babu","orcid":"https://orcid.org/0000-0002-7847-5597"},"institutions":[{"id":"https://openalex.org/I158338959","display_name":"University of Kerala","ror":"https://ror.org/05tqa9940","country_code":"IN","type":"education","lineage":["https://openalex.org/I158338959"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"N. Suresh Babu","raw_affiliation_strings":["Department of Mathematics, University College, University of Kerala, Thiruvananthapuram 695034, Kerala, India"],"raw_orcid":"https://orcid.org/0000-0002-7847-5597","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University College, University of Kerala, Thiruvananthapuram 695034, Kerala, India","institution_ids":["https://openalex.org/I158338959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5098944708","display_name":"B. Ravivarma","orcid":null},"institutions":[{"id":"https://openalex.org/I158338959","display_name":"University of Kerala","ror":"https://ror.org/05tqa9940","country_code":"IN","type":"education","lineage":["https://openalex.org/I158338959"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"B. Ravivarma","raw_affiliation_strings":["Department of Mathematics, University College, University of Kerala, Thiruvananthapuram 695034, Kerala, India"],"raw_orcid":"https://orcid.org/0000-0002-1257-7558","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University College, University of Kerala, Thiruvananthapuram 695034, Kerala, India","institution_ids":["https://openalex.org/I158338959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048867503","display_name":"E. M. Elsayed","orcid":"https://orcid.org/0000-0003-0894-8472"},"institutions":[{"id":"https://openalex.org/I159247623","display_name":"Mansoura University","ror":"https://ror.org/01k8vtd75","country_code":"EG","type":"education","lineage":["https://openalex.org/I159247623"]},{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["EG","SA"],"is_corresponding":false,"raw_author_name":"E. M. Elsayed","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, King AbdulAziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia","Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt"],"raw_orcid":"https://orcid.org/0000-0003-0894-8472","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, King AbdulAziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt","institution_ids":["https://openalex.org/I159247623"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009181717","display_name":"K. Sreekumar","orcid":null},"institutions":[{"id":"https://openalex.org/I158338959","display_name":"University of Kerala","ror":"https://ror.org/05tqa9940","country_code":"IN","type":"education","lineage":["https://openalex.org/I158338959"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"K. G. Sreekumar","raw_affiliation_strings":["Department of Mathematics, University of Kerala, Thiruvananthapuram 695034, India"],"raw_orcid":"https://orcid.org/0000-0002-3596-7428","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Kerala, Thiruvananthapuram 695034, India","institution_ids":["https://openalex.org/I158338959"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5017762883"],"corresponding_institution_ids":["https://openalex.org/I158338959"],"apc_list":null,"apc_paid":null,"fwci":0.3457,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.591611,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"17","issue":"04","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9478999972343445,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9478999972343445,"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/T13257","display_name":"Advanced Control and Stabilization in Aerospace Systems","score":0.9276000261306763,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9132999777793884,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5166488289833069},{"id":"https://openalex.org/keywords/error-detection-and-correction","display_name":"Error detection and correction","score":0.41964539885520935},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35499995946884155}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5166488289833069},{"id":"https://openalex.org/C103088060","wikidata":"https://www.wikidata.org/wiki/Q1062839","display_name":"Error detection and correction","level":2,"score":0.41964539885520935},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35499995946884155}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830924500551","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830924500551","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1980073965","https://openalex.org/W1995875735","https://openalex.org/W2009101269","https://openalex.org/W2075286942","https://openalex.org/W2103521875","https://openalex.org/W2124984031","https://openalex.org/W2140817291","https://openalex.org/W2144664588","https://openalex.org/W2146554527","https://openalex.org/W2152212524","https://openalex.org/W2165044668","https://openalex.org/W3135401399","https://openalex.org/W4235902504","https://openalex.org/W4246015715","https://openalex.org/W4248289108","https://openalex.org/W4388177998","https://openalex.org/W4389579976"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,112,135],"introduce":[4],"a":[5,45,107],"novel":[6],"class":[7],"of":[8,50,54,81,90,109,155],"real":[9,20,38],"number":[10,39],"codes":[11,74,157],"termed":[12],"as":[13,62],"[Formula:":[14,55,71,95,120,127],"see":[15,56,72,96,121,128],"text]-spectral":[16,57,73,97,122,129],"codes,":[17,98],"derived":[18],"from":[19],"symmetric":[21],"operators.":[22],"Our":[23,41,84],"focus":[24],"is":[25],"on":[26],"addressing":[27],"the":[28,51,63,67,77,88,101,153],"challenges":[29],"associated":[30],"with":[31,44],"error":[32,103,138],"correction":[33,104,139],"in":[34,158],"communication":[35],"systems":[36],"utilizing":[37],"codes.":[40,58,123],"study":[42],"initiates":[43],"meticulous":[46],"definition":[47],"and":[48,79,131,140],"analysis":[49],"fundamental":[52],"properties":[53,60],"These":[59],"serve":[61],"foundation":[64],"for":[65,119,151],"comprehending":[66],"distinctive":[68],"characteristics":[69],"that":[70],"offer,":[75],"ensuring":[76],"integrity":[78],"reliability":[80],"transmitted":[82],"data.":[83],"exploration":[85],"extends":[86],"to":[87],"construction":[89],"maximum":[91,102],"distance":[92],"separable":[93],"(MDS)":[94],"which":[99],"boast":[100],"capability.":[105],"As":[106],"culmination":[108],"our":[110,132],"research,":[111],"present":[113],"an":[114,125],"efficient":[115],"decoding":[116,133],"technique":[117],"tailored":[118],"Leveraging":[124],"MDS":[126],"code":[130],"technique,":[134],"achieve":[136],"optimal":[137],"ensure":[141],"good":[142],"numerical":[143],"stability.":[144],"This":[145],"innovative":[146],"approach":[147],"opens":[148],"new":[149],"avenues":[150],"enhancing":[152],"performance":[154],"real-number":[156],"practical":[159],"applications.":[160]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-12-22T23:10:17.713674","created_date":"2025-10-10T00:00:00"}