{"id":"https://openalex.org/W7092519379","doi":"https://doi.org/10.1109/isit63088.2025.11195247","title":"Binary Rate-Optimal Streaming Codes with Minimal Code Length","display_name":"Binary Rate-Optimal Streaming Codes with Minimal Code Length","publication_year":2025,"publication_date":"2025-06-22","ids":{"openalex":"https://openalex.org/W7092519379","doi":"https://doi.org/10.1109/isit63088.2025.11195247"},"language":null,"primary_location":{"id":"doi:10.1109/isit63088.2025.11195247","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit63088.2025.11195247","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"conference-paper","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":null,"display_name":"Wenjie Ma","orcid":null},"institutions":[{"id":"https://openalex.org/I3130582119","display_name":"Chinese Mathematical Society","ror":"https://ror.org/02gf1cx07","country_code":"CN","type":"education","lineage":["https://openalex.org/I3130582119"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenjie Ma","raw_affiliation_strings":["State Key Laboratory of Mathematical Sciences, AMSS,Chinese Academy of Sciences,Beijing,China,100190"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Mathematical Sciences, AMSS,Chinese Academy of Sciences,Beijing,China,100190","institution_ids":["https://openalex.org/I3130582119"]}]},{"author_position":"last","author":{"id":null,"display_name":"Zhifang Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I3130582119","display_name":"Chinese Mathematical Society","ror":"https://ror.org/02gf1cx07","country_code":"CN","type":"education","lineage":["https://openalex.org/I3130582119"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhifang Zhang","raw_affiliation_strings":["State Key Laboratory of Mathematical Sciences, AMSS,Chinese Academy of Sciences,Beijing,China,100190"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Mathematical Sciences, AMSS,Chinese Academy of Sciences,Beijing,China,100190","institution_ids":["https://openalex.org/I3130582119"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I3130582119"],"apc_list":null,"apc_paid":null,"fwci":1.9814,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.89384147,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":true,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.7847999930381775,"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"}},"topics":[{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.7847999930381775,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.09380000084638596,"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/T11181","display_name":"Advanced Data Storage Technologies","score":0.04179999977350235,"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/luby-transform-code","display_name":"Luby transform code","score":0.6328999996185303},{"id":"https://openalex.org/keywords/tornado-code","display_name":"Tornado code","score":0.6165000200271606},{"id":"https://openalex.org/keywords/raptor-code","display_name":"Raptor code","score":0.6064000129699707},{"id":"https://openalex.org/keywords/erasure-code","display_name":"Erasure code","score":0.5810999870300293},{"id":"https://openalex.org/keywords/fountain-code","display_name":"Fountain code","score":0.5566999912261963},{"id":"https://openalex.org/keywords/online-codes","display_name":"Online codes","score":0.5011000037193298},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4950999915599823},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.4909999966621399},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.46880000829696655}],"concepts":[{"id":"https://openalex.org/C128151799","wikidata":"https://www.wikidata.org/wiki/Q13563306","display_name":"Luby transform code","level":5,"score":0.6328999996185303},{"id":"https://openalex.org/C65058987","wikidata":"https://www.wikidata.org/wiki/Q7826005","display_name":"Tornado code","level":5,"score":0.6165000200271606},{"id":"https://openalex.org/C101252705","wikidata":"https://www.wikidata.org/wiki/Q7294373","display_name":"Raptor code","level":5,"score":0.6064000129699707},{"id":"https://openalex.org/C137529215","wikidata":"https://www.wikidata.org/wiki/Q5385031","display_name":"Erasure code","level":3,"score":0.5810999870300293},{"id":"https://openalex.org/C76132124","wikidata":"https://www.wikidata.org/wiki/Q5474786","display_name":"Fountain code","level":5,"score":0.5566999912261963},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5296000242233276},{"id":"https://openalex.org/C103093684","wikidata":"https://www.wikidata.org/wiki/Q7094069","display_name":"Online codes","level":5,"score":0.5011000037193298},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4950999915599823},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.4909999966621399},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.46880000829696655},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46779999136924744},{"id":"https://openalex.org/C63435697","wikidata":"https://www.wikidata.org/wiki/Q864135","display_name":"Binary code","level":3,"score":0.447299987077713},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.41019999980926514},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.4032000005245209},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.40119999647140503},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3698999881744385},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35569998621940613},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33160001039505005},{"id":"https://openalex.org/C187166803","wikidata":"https://www.wikidata.org/wiki/Q2835831","display_name":"Streaming algorithm","level":3,"score":0.32519999146461487},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.32089999318122864},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.3190000057220459},{"id":"https://openalex.org/C149862233","wikidata":"https://www.wikidata.org/wiki/Q864142","display_name":"Binary erasure channel","level":4,"score":0.3174999952316284},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.30250000953674316},{"id":"https://openalex.org/C194405637","wikidata":"https://www.wikidata.org/wiki/Q369367","display_name":"Repetition code","level":5,"score":0.2946999967098236},{"id":"https://openalex.org/C108509264","wikidata":"https://www.wikidata.org/wiki/Q5420758","display_name":"Expander code","level":5,"score":0.29089999198913574},{"id":"https://openalex.org/C202932441","wikidata":"https://www.wikidata.org/wiki/Q55611017","display_name":"Forward error correction","level":3,"score":0.288100004196167},{"id":"https://openalex.org/C2778790127","wikidata":"https://www.wikidata.org/wiki/Q484885","display_name":"Erasure","level":2,"score":0.27889999747276306},{"id":"https://openalex.org/C206468330","wikidata":"https://www.wikidata.org/wiki/Q834373","display_name":"Code rate","level":3,"score":0.2689000070095062},{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.26260000467300415},{"id":"https://openalex.org/C153207627","wikidata":"https://www.wikidata.org/wiki/Q863873","display_name":"Code word","level":3,"score":0.25859999656677246},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.25459998846054077}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit63088.2025.11195247","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit63088.2025.11195247","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 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":15,"referenced_works":["https://openalex.org/W2108579675","https://openalex.org/W2113967464","https://openalex.org/W2125921054","https://openalex.org/W2143241245","https://openalex.org/W2499968118","https://openalex.org/W2913533115","https://openalex.org/W2963225233","https://openalex.org/W2976508674","https://openalex.org/W2990112497","https://openalex.org/W3013193461","https://openalex.org/W3081072124","https://openalex.org/W3163836899","https://openalex.org/W3206731135","https://openalex.org/W4386072127","https://openalex.org/W4386075230"],"related_works":[],"abstract_inverted_index":{"Streaming":[0],"codes":[1,6,41,60,71,118],"are":[2,54],"packet-level":[3],"erasure":[4,17],"correcting":[5],"for":[7,119],"the":[8,43,109],"Delay-Constrained":[9],"Sliding":[10],"Window":[11],"channel":[12],"which":[13,53],"allows":[14],"a":[15,30,83],"burst":[16,99],"of":[18,38,87,105],"length":[19,48],"no":[20],"greater":[21],"than$b$or":[22],"at":[23,49],"most$a$random":[24],"erasures":[25],"in":[26],"every$T+1$consecutive":[27],"packets":[28],"with":[29,61,75],"strict":[31],"decoding":[32],"delay":[33],"constraint$T$.":[34],"When$a&gt;1$,":[35],"existing":[36],"constructions":[37],"rate-optimal":[39,58,69,113],"streaming":[40,59,70,85,117],"require":[42],"field":[44],"size":[45],"and":[46],"code":[47,62,86],"least":[50],"linear":[51],"in$T$,":[52],"equivalent":[55],"to":[56,111],"binary":[57,68,112],"length$n=\\mathrm{O}(T":[63],"\\log":[64],"T)$.":[65],"However,":[66],"when$a=1$,":[67],"have":[72],"been":[73],"constructed":[74],"length$n=T+b-a+1$.":[76],"In":[77],"this":[78],"paper,":[79],"we":[80,102],"first":[81],"construct":[82],"basic":[84],"length$n=\\frac{T+b-a+1}{\\operatorname{gcd}(b,":[88],"T-a+1)}$and":[89],"rate$R_{\\text":[90],"{opt":[91],"}}":[92],"\\geq":[93],"\\frac{1}{2}$with":[94],"indeterminates":[95],"that":[96],"only":[97],"handles":[98],"erasures.":[100],"Then":[101],"determine":[103],"values":[104],"indeterminates,":[106],"thereby":[107],"extending":[108],"construction":[110],"($a,":[114],"b,":[115],"T$)":[116],"parameters:":[120],"(i)$a=1$;":[121],"(ii)$a=2,":[122],"T":[123],"\\in[b+1:":[124],"b(b-1)+1]$;":[125],"(iii)$a=3,":[126],"T=b+2$.":[127]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-21T00:00:00"}
