{"id":"https://openalex.org/W4407783209","doi":"https://doi.org/10.1109/tit.2025.3544168","title":"Higher-Order Staircase Codes","display_name":"Higher-Order Staircase Codes","publication_year":2025,"publication_date":"2025-02-20","ids":{"openalex":"https://openalex.org/W4407783209","doi":"https://doi.org/10.1109/tit.2025.3544168"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2025.3544168","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3544168","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/A5026696181","display_name":"Mohannad Shehadeh","orcid":"https://orcid.org/0000-0002-4749-5317"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Mohannad Shehadeh","raw_affiliation_strings":["Edward S. Rogers Sr. Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada","Edward S. Rogers Sr. Department of Electrical & Computer Engineering, University of Toronto, Toronto, ON, Canada"],"raw_orcid":"https://orcid.org/0000-0002-4749-5317","affiliations":[{"raw_affiliation_string":"Edward S. Rogers Sr. Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada","institution_ids":["https://openalex.org/I185261750"]},{"raw_affiliation_string":"Edward S. Rogers Sr. Department of Electrical & Computer Engineering, University of Toronto, Toronto, ON, Canada","institution_ids":["https://openalex.org/I185261750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077846751","display_name":"Frank R. Kschischang","orcid":"https://orcid.org/0000-0002-4274-1785"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Frank R. Kschischang","raw_affiliation_strings":["Edward S. Rogers Sr. Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada","Edward S. Rogers Sr. Department of Electrical & Computer Engineering, University of Toronto, Toronto, ON, Canada"],"raw_orcid":"https://orcid.org/0000-0002-4274-1785","affiliations":[{"raw_affiliation_string":"Edward S. Rogers Sr. Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada","institution_ids":["https://openalex.org/I185261750"]},{"raw_affiliation_string":"Edward S. Rogers Sr. Department of Electrical & Computer Engineering, University of Toronto, Toronto, ON, Canada","institution_ids":["https://openalex.org/I185261750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026717377","display_name":"Alvin Y. Sukmadji","orcid":"https://orcid.org/0000-0002-5383-037X"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Alvin Y. Sukmadji","raw_affiliation_strings":["Edward S. Rogers Sr. Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada","Edward S. Rogers Sr. Department of Electrical & Computer Engineering, University of Toronto, Toronto, ON, Canada"],"raw_orcid":"https://orcid.org/0000-0002-5383-037X","affiliations":[{"raw_affiliation_string":"Edward S. Rogers Sr. Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada","institution_ids":["https://openalex.org/I185261750"]},{"raw_affiliation_string":"Edward S. Rogers Sr. Department of Electrical & Computer Engineering, University of Toronto, Toronto, ON, Canada","institution_ids":["https://openalex.org/I185261750"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5116346390","display_name":"William Kingsford","orcid":null},"institutions":[{"id":"https://openalex.org/I4210102501","display_name":"Palmerston North Hospital","ror":"https://ror.org/01ctbbh52","country_code":"NZ","type":"healthcare","lineage":["https://openalex.org/I4210102501"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"William Kingsford","raw_affiliation_strings":["resides in Palmerston, North, New Zealand","scholar from Palmerston North, New Zealand"],"raw_orcid":"https://orcid.org/0009-0002-1965-7363","affiliations":[{"raw_affiliation_string":"resides in Palmerston, North, New Zealand","institution_ids":["https://openalex.org/I4210102501"]},{"raw_affiliation_string":"scholar from Palmerston North, New Zealand","institution_ids":["https://openalex.org/I4210102501"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.4269,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.94256419,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"71","issue":"4","first_page":"2517","last_page":"2538"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9135000109672546,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9135000109672546,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5267015099525452},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4784167408943176},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4066769480705261},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.36978793144226074},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3475799560546875}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5267015099525452},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4784167408943176},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4066769480705261},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.36978793144226074},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3475799560546875},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2025.3544168","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3544168","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W161202988","https://openalex.org/W1990176214","https://openalex.org/W2010325636","https://openalex.org/W2012378218","https://openalex.org/W2065150811","https://openalex.org/W2074196758","https://openalex.org/W2107689258","https://openalex.org/W2110463367","https://openalex.org/W2129096636","https://openalex.org/W2133068391","https://openalex.org/W2148948564","https://openalex.org/W2153810958","https://openalex.org/W2165083003","https://openalex.org/W2167304554","https://openalex.org/W2499968118","https://openalex.org/W2529747660","https://openalex.org/W2530363278","https://openalex.org/W2903952412","https://openalex.org/W2911067280","https://openalex.org/W2915061194","https://openalex.org/W2963228998","https://openalex.org/W2984937238","https://openalex.org/W2995195322","https://openalex.org/W3093483208","https://openalex.org/W3174852697","https://openalex.org/W3186432588","https://openalex.org/W4205331657","https://openalex.org/W4245256025","https://openalex.org/W4285159498","https://openalex.org/W4288071811","https://openalex.org/W4385154226","https://openalex.org/W4393028178","https://openalex.org/W4396909551","https://openalex.org/W4401692432","https://openalex.org/W6715567629","https://openalex.org/W6845865602"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2051487156","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596"],"abstract_inverted_index":{"We":[0,62,89,117],"generalize":[1],"staircase":[2,36,109,137],"codes":[3,94,110,113,150],"and":[4,50,74,111,128],"tiled":[5],"diagonal":[6],"zipper":[7,112],"codes,":[8,69],"preserving":[9],"their":[10],"key":[11],"properties":[12],"while":[13],"allowing":[14],"each":[15],"coded":[16],"symbol":[17],"to":[18,59,132],"be":[19],"protected":[20],"by":[21],"arbitrarily":[22],"many":[23],"component":[24,87],"codewords":[25],"rather":[26],"than":[27],"only":[28],"two.":[29],"This":[30],"generalization":[31],"which":[32,53,107,130],"we":[33],"term":[34],"\u201chigher-order":[35],"codes\u201d":[37],"arises":[38],"from":[39,152],"the":[40,92,119],"marriage":[41],"of":[42,67,84,121,135,148],"two":[43],"distinct":[44],"combinatorial":[45],"objects:":[46],"difference":[47,122,153],"triangle":[48,123,154],"sets":[49,124],"finite-geometric":[51],"nets,":[52],"have":[54,114],"typically":[55],"been":[56,115],"applied":[57],"separately":[58],"code":[60],"design.":[61],"demonstrate":[63],"one":[64],"possible":[65],"realization":[66],"these":[68],"obtaining":[70],"powerful,":[71],"high-rate,":[72],"low-error-floor,":[73],"low-complexity":[75],"coding":[76],"schemes":[77],"based":[78],"on":[79],"simple":[80],"iterative":[81],"syndrome-domain":[82],"decoding":[83],"coupled":[85],"Hamming":[86],"codes.":[88,138],"anticipate":[90],"that":[91],"proposed":[93],"could":[95],"improve":[96],"performance\u2013complexity\u2013latency":[97],"tradeoffs":[98],"in":[99,106],"high-throughput":[100],"communications":[101],"applications,":[102],"most":[103],"notably":[104],"fiber-optic,":[105],"classical":[108],"applied.":[116],"consider":[118],"construction":[120],"having":[125],"minimum":[126],"scope":[127],"sum-of-lengths,":[129],"lead":[131],"memory-optimal":[133],"realizations":[134],"higher-order":[136],"These":[139],"results":[140],"also":[141],"enable":[142],"memory":[143],"reductions":[144],"for":[145],"early":[146],"families":[147],"convolutional":[149],"constructed":[151],"sets.":[155]},"counts_by_year":[{"year":2025,"cited_by_count":5}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}