{"id":"https://openalex.org/W4386075268","doi":"https://doi.org/10.1109/isit54713.2023.10206530","title":"Fast Encoding of Hermitian Codes Based on Lin-Chung-Han Fast Fourier Transform","display_name":"Fast Encoding of Hermitian Codes Based on Lin-Chung-Han Fast Fourier Transform","publication_year":2023,"publication_date":"2023-06-25","ids":{"openalex":"https://openalex.org/W4386075268","doi":"https://doi.org/10.1109/isit54713.2023.10206530"},"language":"en","primary_location":{"id":"doi:10.1109/isit54713.2023.10206530","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/isit54713.2023.10206530","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE International Symposium on Information Theory (ISIT)","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/A5024087855","display_name":"Suihua Cai","orcid":"https://orcid.org/0000-0003-1950-0788"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Suihua Cai","raw_affiliation_strings":["Sun Yat-sen University,School of Computer Science and Engineering,Guangzhou,China,510006","Guangdong Key Laboratory of Information Security Technology, Sun Yat-sen University, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"Sun Yat-sen University,School of Computer Science and Engineering,Guangzhou,China,510006","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"Guangdong Key Laboratory of Information Security Technology, Sun Yat-sen University, Guangzhou, China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101805443","display_name":"Chao Chen","orcid":"https://orcid.org/0000-0003-3911-8711"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chao Chen","raw_affiliation_strings":["Xidian University,State Key Laboratory of ISN,Xi’an,China,710071"],"affiliations":[{"raw_affiliation_string":"Xidian University,State Key Laboratory of ISN,Xi’an,China,710071","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078364547","display_name":"Yunqi Wan","orcid":"https://orcid.org/0000-0002-6457-3241"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yunqi Wan","raw_affiliation_strings":["Sun Yat-sen University,School of Electronics and Information Technology,Guangzhou,China,510006"],"affiliations":[{"raw_affiliation_string":"Sun Yat-sen University,School of Electronics and Information Technology,Guangzhou,China,510006","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057620799","display_name":"Xiao Ma","orcid":"https://orcid.org/0000-0001-6617-1978"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao Ma","raw_affiliation_strings":["Sun Yat-sen University,School of Computer Science and Engineering,Guangzhou,China,510006","Guangdong Key Laboratory of Information Security Technology, Sun Yat-sen University, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"Sun Yat-sen University,School of Computer Science and Engineering,Guangzhou,China,510006","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"Guangdong Key Laboratory of Information Security Technology, Sun Yat-sen University, Guangzhou, China","institution_ids":["https://openalex.org/I157773358"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5024087855"],"corresponding_institution_ids":["https://openalex.org/I157773358"],"apc_list":null,"apc_paid":null,"fwci":0.1744,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.56094709,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"2069","last_page":"2074"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"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":1.0,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9957000017166138,"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":0.9932000041007996,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.7888777852058411},{"id":"https://openalex.org/keywords/encoding","display_name":"Encoding (memory)","score":0.685886800289154},{"id":"https://openalex.org/keywords/hermitian-matrix","display_name":"Hermitian matrix","score":0.6281461119651794},{"id":"https://openalex.org/keywords/bivariate-analysis","display_name":"Bivariate analysis","score":0.5560191869735718},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5286388993263245},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5236582159996033},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4998135566711426},{"id":"https://openalex.org/keywords/hermitian-function","display_name":"Hermitian function","score":0.4705427289009094},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4236622452735901},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.42288631200790405},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33769500255584717},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3352050483226776},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.06895151734352112},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05754867196083069}],"concepts":[{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.7888777852058411},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.685886800289154},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.6281461119651794},{"id":"https://openalex.org/C64341305","wikidata":"https://www.wikidata.org/wiki/Q4919225","display_name":"Bivariate analysis","level":2,"score":0.5560191869735718},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5286388993263245},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5236582159996033},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4998135566711426},{"id":"https://openalex.org/C146783285","wikidata":"https://www.wikidata.org/wiki/Q3236862","display_name":"Hermitian function","level":3,"score":0.4705427289009094},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4236622452735901},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.42288631200790405},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33769500255584717},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3352050483226776},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.06895151734352112},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05754867196083069},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit54713.2023.10206530","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/isit54713.2023.10206530","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W15967873","https://openalex.org/W1973127405","https://openalex.org/W2001350036","https://openalex.org/W2009370804","https://openalex.org/W2045231468","https://openalex.org/W2074377659","https://openalex.org/W2084154699","https://openalex.org/W2133909151","https://openalex.org/W2170495079","https://openalex.org/W2963700143","https://openalex.org/W3000170011","https://openalex.org/W3107419248","https://openalex.org/W6600658134"],"related_works":["https://openalex.org/W3045365471","https://openalex.org/W2288929419","https://openalex.org/W4210393153","https://openalex.org/W273853880","https://openalex.org/W4244117186","https://openalex.org/W3211576064","https://openalex.org/W4383621013","https://openalex.org/W2025326031","https://openalex.org/W2170774163","https://openalex.org/W3208649438"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,22,41],"present":[4,49],"fast":[5,15],"encoding":[6,73,83],"algorithms":[7,74],"for":[8,52],"Hermitian":[9,59],"codes":[10],"based":[11],"on":[12],"the":[13,24,28,54,64,68,80],"Lin-Chung-Han":[14],"Fourier":[16],"transform":[17],"(LCH-FFT).":[18],"For":[19,38,57],"non-systematic":[20,70],"encoding,":[21,40],"extend":[23],"LCH":[25],"basis":[26],"to":[27],"bivariate":[29],"polynomial":[30],"space":[31],"and":[32,48,71],"develop":[33],"a":[34,43,50,58],"two-dimensional":[35],"FFT":[36,46],"algorithm.":[37],"systematic":[39,72],"propose":[42],"modified":[44],"partial":[45],"algorithm":[47],"procedure":[51],"computing":[53],"unknown":[55],"intermediates.":[56],"code":[60],"of":[61,67],"length":[62],"$n$,":[63],"computational":[65],"complexity":[66,84],"presented":[69],"are":[75],"both":[76],"$O(n{\\text{log}}n)$,":[77],"improving":[78],"upon":[79],"currently":[81],"best-known":[82],"$O\\left(":[85],"{n{\\text{lo}}{{\\text{g}}^2}n{\\text{loglog}}n}":[86],"\\right)$.":[87]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-03-25T13:04:00.132906","created_date":"2025-10-10T00:00:00"}