{"id":"https://openalex.org/W4391877662","doi":"https://doi.org/10.1109/tit.2024.3366817","title":"Explicit Low-Bandwidth Evaluation Schemes for Weighted Sums of Reed-Solomon-Coded Symbols","display_name":"Explicit Low-Bandwidth Evaluation Schemes for Weighted Sums of Reed-Solomon-Coded Symbols","publication_year":2024,"publication_date":"2024-02-16","ids":{"openalex":"https://openalex.org/W4391877662","doi":"https://doi.org/10.1109/tit.2024.3366817"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2024.3366817","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2024.3366817","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","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/A5083157397","display_name":"Han Mao Kiah","orcid":"https://orcid.org/0000-0001-5611-0848"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Han Mao Kiah","raw_affiliation_strings":["School of Physical and Mathematical Sciences, Nanyang Technological University (NTU), Nanyang Ave, Singapore"],"raw_orcid":"https://orcid.org/0000-0001-5611-0848","affiliations":[{"raw_affiliation_string":"School of Physical and Mathematical Sciences, Nanyang Technological University (NTU), Nanyang Ave, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005467005","display_name":"Wilton Kim","orcid":"https://orcid.org/0009-0004-7253-4594"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Wilton Kim","raw_affiliation_strings":["School of Physical and Mathematical Sciences, Nanyang Technological University (NTU), Nanyang Ave, Singapore"],"raw_orcid":"https://orcid.org/0009-0004-7253-4594","affiliations":[{"raw_affiliation_string":"School of Physical and Mathematical Sciences, Nanyang Technological University (NTU), Nanyang Ave, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081266167","display_name":"Stanislav Kruglik","orcid":"https://orcid.org/0000-0001-9557-5197"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Stanislav Kruglik","raw_affiliation_strings":["School of Physical and Mathematical Sciences, Nanyang Technological University (NTU), Nanyang Ave, Singapore"],"raw_orcid":"https://orcid.org/0000-0001-9557-5197","affiliations":[{"raw_affiliation_string":"School of Physical and Mathematical Sciences, Nanyang Technological University (NTU), Nanyang Ave, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063268716","display_name":"San Ling","orcid":"https://orcid.org/0000-0002-1978-3557"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"San Ling","raw_affiliation_strings":["School of Physical and Mathematical Sciences, Nanyang Technological University (NTU), Nanyang Ave, Singapore"],"raw_orcid":"https://orcid.org/0000-0002-1978-3557","affiliations":[{"raw_affiliation_string":"School of Physical and Mathematical Sciences, Nanyang Technological University (NTU), Nanyang Ave, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090841998","display_name":"Huaxiong Wang","orcid":"https://orcid.org/0000-0002-7669-8922"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Huaxiong Wang","raw_affiliation_strings":["School of Physical and Mathematical Sciences, Nanyang Technological University (NTU), Nanyang Ave, Singapore"],"raw_orcid":"https://orcid.org/0000-0002-7669-8922","affiliations":[{"raw_affiliation_string":"School of Physical and Mathematical Sciences, Nanyang Technological University (NTU), Nanyang Ave, Singapore","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I172675005"],"apc_list":null,"apc_paid":null,"fwci":1.9449,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.87176011,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"70","issue":"8","first_page":"5552","last_page":"5565"},"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/T11181","display_name":"Advanced Data Storage Technologies","score":0.9994000196456909,"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/T10237","display_name":"Cryptography and Data Security","score":0.9987999796867371,"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/reed\u2013solomon-error-correction","display_name":"Reed\u2013Solomon error correction","score":0.6637104749679565},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5363925695419312},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.5134814381599426},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.46124571561813354},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4404911398887634},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42107632756233215},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.3890003561973572},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.32178711891174316},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.2980470657348633},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.18423014879226685},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.18134334683418274}],"concepts":[{"id":"https://openalex.org/C78065487","wikidata":"https://www.wikidata.org/wiki/Q1061598","display_name":"Reed\u2013Solomon error correction","level":5,"score":0.6637104749679565},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5363925695419312},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.5134814381599426},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.46124571561813354},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4404911398887634},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42107632756233215},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.3890003561973572},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32178711891174316},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.2980470657348633},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.18423014879226685},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.18134334683418274}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2024.3366817","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2024.3366817","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","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":32,"referenced_works":["https://openalex.org/W1471103927","https://openalex.org/W1534695542","https://openalex.org/W1606480398","https://openalex.org/W1641218312","https://openalex.org/W2105185344","https://openalex.org/W2141420453","https://openalex.org/W2148575324","https://openalex.org/W2167046508","https://openalex.org/W2489433463","https://openalex.org/W2577154367","https://openalex.org/W2613593521","https://openalex.org/W2742508417","https://openalex.org/W2751841999","https://openalex.org/W2791253517","https://openalex.org/W2898024058","https://openalex.org/W2902882503","https://openalex.org/W2950353718","https://openalex.org/W2963163039","https://openalex.org/W2963677325","https://openalex.org/W2970097841","https://openalex.org/W3105184929","https://openalex.org/W3114046088","https://openalex.org/W3128488067","https://openalex.org/W3154319832","https://openalex.org/W3155022315","https://openalex.org/W3208593175","https://openalex.org/W3214565882","https://openalex.org/W4226317702","https://openalex.org/W4289713244","https://openalex.org/W4386075086","https://openalex.org/W6747854654","https://openalex.org/W6799326154"],"related_works":["https://openalex.org/W2161474341","https://openalex.org/W4302615923","https://openalex.org/W3203142394","https://openalex.org/W2351061015","https://openalex.org/W4220731478","https://openalex.org/W1974101135","https://openalex.org/W2017509870","https://openalex.org/W4251141768","https://openalex.org/W4360952157","https://openalex.org/W1568966867"],"abstract_inverted_index":{"Motivated":[0],"by":[1,134],"applications":[2],"in":[3,37,62,90,149,180,196],"distributed":[4,6],"storage,":[5],"computing,":[7],"and":[8,99],"homomorphic":[9],"secret":[10],"sharing,":[11],"we":[12,24,50,125,184,203],"study":[13],"communication-efficient":[14],"schemes":[15,27,179,190],"for":[16,115,191,212],"computing":[17],"linear":[18,193],"combinations":[19],"of":[20,33,58,75,77,94,108,188,200],"coded":[21,35,110],"symbols.":[22,111],"Specifically,":[23],"design":[25],"low-bandwidth":[26],"that":[28,69,130],"evaluate":[29],"the":[30,59,105,181,197,213],"weighted":[31,106],"sum":[32,107],"\u2113":[34,109],"symbols":[36],"a":[38,72,88,91,186,209],"codeword":[39,89],"<italic":[40,55,63,79,84,96,117,121,136,140,144,152,158,168],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[41,46,56,64,80,85,97,118,122,137,141,145,153,159,164,169],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">c</i>":[42,65,86],"\u2208":[43],"F":[44,70],"<sup":[45,163],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><i>n</i></sup>":[47],",":[48,124],"when":[49],"are":[51],"given":[52],"access":[53],"to":[54,103,207],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">d</i>":[57,138,154,160],"remaining":[60],"components":[61],".":[66,82,171],"Formally,":[67],"suppose":[68],"is":[71,102],"field":[73],"extension":[74],"B":[76,150],"degree":[78],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">t</i>":[81,123,142],"Let":[83],"be":[87],"Reed-Solomon":[92,201],"code":[93],"dimension":[95],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">k</i>":[98,170],"our":[100,175],"task":[101,133],"compute":[104],"In":[112,172],"this":[113,132,205],"paper,":[114],"some":[116],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">s</i>":[119,146],"<":[120],"provide":[126,185],"an":[127],"explicit":[128],"scheme":[129,176],"performs":[131],"downloading":[135],"(":[139],"-":[143],")":[147],"sub-symbols":[148],"from":[151],"available":[155],"nodes,":[156],"whenever":[157],"\u2265":[161],"\u2113|B|":[162],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><i>s</i></sup>":[165],"-\u2113":[166],"+":[167],"many":[173],"cases,":[174],"outperforms":[177],"previous":[178],"literature.":[182],"Furthermore,":[183],"characterization":[187,206],"evaluation":[189,214],"general":[192],"codes.":[194],"Then":[195],"special":[198],"case":[199],"codes,":[202],"use":[204],"derive":[208],"lower":[210],"bound":[211],"bandwidth.":[215]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}