Automorphism Set Construction for Automorphism Ensemble Decoding With Reduced Delay

The anticipated demands of 6G ultra-reliable low-latency communications (URLLC) call for near-instantaneous data transfers and error-correction efficiency rivaling maximum-likelihood (ML) decoding. Achieving an effective compromise between latency, power consumption, and decoding accuracy is a pivot...

Celý popis

Uložené v:

Podrobná bibliografia
Vydané v:	IEEE open journal of the Communications Society Ročník 6; s. 8625 - 8635
Hlavní autori:	Fominykh, Anna, Shabunov, Kirill
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	New York IEEE 2025 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Predmet:	Algorithms Automorphism ensemble decoding Automorphisms Codes Complexity theory Decoding Delays Error correction Harnesses low-delay decoding Maximum likelihood decoding Measurement monomial codes Network latency Permutations Polar codes Reed-Muller codes Symmetric matrices Ultra reliable low latency communication Vectors
ISSN:	2644-125X, 2644-125X
On-line prístup:	Získať plný text
Tagy:	Pridať tag Žiadne tagy, Buďte prvý, kto otaguje tento záznam!

Abstract	The anticipated demands of 6G ultra-reliable low-latency communications (URLLC) call for near-instantaneous data transfers and error-correction efficiency rivaling maximum-likelihood (ML) decoding. Achieving an effective compromise between latency, power consumption, and decoding accuracy is a pivotal challenge in contemporary coding theory. Polar codes have distinguished themselves by achieving capacity on symmetric memoryless channels. To narrow the gap to ML performance, refined techniques like successive-cancellation list (SCL) decoding have been developed, albeit with a rise in computational burden. More recently, automorphism ensemble (AE) decoding has unlocked parallelization benefits for codes with rich automorphism groups, such as Reed-Muller codes. This paper discusses the reduced-delay AE (RD-AE) decoder, which harnesses a carefully chosen subset of automorphisms to drastically cut decoding latency while allowing a flexible trade-off between speed and error-correction performance. This article is an extended version of research previously introduced at a conference. We discuss key aspects and nuances of the algorithm and its implementation, including: (1) algorithms for selecting automorphism sets to meet specific performance targets, (2) a detailed procedure for combining bits from different permutations, (3) code construction methodologies for RD-AE decoding, and (4) implementation considerations. Furthermore, we explore various scenarios and applications of the proposed algorithm and present simulation results demonstrating significant latency reductions while maintaining error-correction performance.
AbstractList	The anticipated demands of 6G ultra-reliable low-latency communications (URLLC) call for near-instantaneous data transfers and error-correction efficiency rivaling maximum-likelihood (ML) decoding. Achieving an effective compromise between latency, power consumption, and decoding accuracy is a pivotal challenge in contemporary coding theory. Polar codes have distinguished themselves by achieving capacity on symmetric memoryless channels. To narrow the gap to ML performance, refined techniques like successive-cancellation list (SCL) decoding have been developed, albeit with a rise in computational burden. More recently, automorphism ensemble (AE) decoding has unlocked parallelization benefits for codes with rich automorphism groups, such as Reed-Muller codes. This paper discusses the reduced-delay AE (RD-AE) decoder, which harnesses a carefully chosen subset of automorphisms to drastically cut decoding latency while allowing a flexible trade-off between speed and error-correction performance. This article is an extended version of research previously introduced at a conference. We discuss key aspects and nuances of the algorithm and its implementation, including: (1) algorithms for selecting automorphism sets to meet specific performance targets, (2) a detailed procedure for combining bits from different permutations, (3) code construction methodologies for RD-AE decoding, and (4) implementation considerations. Furthermore, we explore various scenarios and applications of the proposed algorithm and present simulation results demonstrating significant latency reductions while maintaining error-correction performance.
Author	Fominykh, Anna Shabunov, Kirill
Author_xml	– sequence: 1 givenname: Anna orcidid: 0000-0002-1412-5766 surname: Fominykh fullname: Fominykh, Anna email: anna.fominykh@skoltech.ru organization: Center for Next Generation Wireless and IoT, Skolkovo Institute of Science and Technology, Moscow, Russia – sequence: 2 givenname: Kirill orcidid: 0000-0003-1968-1582 surname: Shabunov fullname: Shabunov, Kirill organization: 6G Research, Moscow Radio Transmission Technology and Computing Laboratory, Moscow, Russia
BookMark	eNpVUctOwzAQtBBIQOkXwCES5xavH3kcUXgLVImC4GYl9gZSJXGxk0P_HkMqHqddzc7MjjSHZLezHRJyDHQOQLOzxV2-eFjOGWVyzmNIOMAOOWCxEDNg8nX3z75Ppt6vKA1UAODigCzPh9621q3fa99GS-yj3Ha-d4Pua9tFlXXRP8Zl57EtG4wuUFtTd2_RS92_R49oBo0moE2xOSJ7VdF4nG7nhDxfXT7lN7P7xfVtfn4_0yFmPzMyFUi5YDRFxrnIUpEkoqwk6swYKTCuDFAG3OhwkIZlTFdAy6DWXGvkE3I7-hpbrNTa1W3hNsoWtfoGrHtThetr3aDSFHklUmkyEwsmyizJoNKJlmhkCUYGr9PRa-3sx4C-Vys7uC7EV5zFjDOgggcWH1naWe8dVj9fgaqvMtRYhvoqQ23LCKqTUVUj4q8CIM1SmfJPlNaHfw
CODEN	IOJCAZ
Cites_doi	10.1109/REDUNDANCY48165.2019.9003333 10.1109/ICCCWorkshops55477.2022.9896648 10.1109/ISIT45174.2021.9518184 10.1109/TIT.2005.864443 10.1109/TIT.2009.2021379 10.1109/TBC.2023.3345642 10.1109/ISIT50566.2022.9834828 10.1109/WCSP.2018.8555616 10.1109/TCOMM.2021.3098798 10.1109/TIT.2015.2410251 10.1109/LCOMM.2019.2963645 10.1109/TIT.1954.1057465 10.1109/GLOBECOM46510.2021.9685181 10.1109/GLOCOM.2018.8648105 10.1109/LCOMM.2011.101811.111480 10.1109/ISIT50566.2022.9834782 10.1109/JSAC.2014.140514 10.1109/icc45855.2022.9838937 10.1109/isit.2000.866353 10.1109/IREPGELC.1954.6499441 10.1109/LWC.2020.3047809 10.1109/GCWkshp64532.2024.11100399 10.1109/TVT.2018.2806364 10.1109/ISIT.2016.7541295
ContentType	Journal Article
Copyright	Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2025
Copyright_xml	– notice: Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2025
DBID	97E ESBDL RIA RIE AAYXX CITATION 7SP 8FD L7M DOA
DOI	10.1109/OJCOMS.2025.3617311
DatabaseName	IEEE Xplore (IEEE) IEEE Xplore Open Access Journals IEEE All-Society Periodicals Package (ASPP) 1998–Present IEEE Electronic Library (IEL) CrossRef Electronics & Communications Abstracts Technology Research Database Advanced Technologies Database with Aerospace DOAJ Directory of Open Access Journals
DatabaseTitle	CrossRef Technology Research Database Advanced Technologies Database with Aerospace Electronics & Communications Abstracts
DatabaseTitleList	Technology Research Database
Database_xml	– sequence: 1 dbid: DOA name: DOAJ Directory of Open Access Journals url: https://www.doaj.org/ sourceTypes: Open Website – sequence: 2 dbid: RIE name: IEEE Electronic Library (IEL) url: https://ieeexplore.ieee.org/ sourceTypes: Publisher
DeliveryMethod	fulltext_linktorsrc
Discipline	Engineering
EISSN	2644-125X
EndPage	8635
ExternalDocumentID	oai_doaj_org_article_c0e3f485d9d6424b9791fc7c5ed5b1d5 10_1109_OJCOMS_2025_3617311 11189858
Genre	orig-research
GroupedDBID	0R~ 97E AAJGR ABAZT ABVLG ALMA_UNASSIGNED_HOLDINGS BEFXN BFFAM BGNUA BKEBE BPEOZ EBS ESBDL GROUPED_DOAJ JAVBF M~E OCL OK1 RIA RIE AAYXX CITATION 7SP 8FD L7M
ID	FETCH-LOGICAL-c361t-d584e034208e2334984774bf5ec9dd54e6fd10213dc4775d292cf10bc36c3cce3
IEDL.DBID	DOA
ISICitedReferencesCount	0
ISICitedReferencesURI	http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=001596847300002&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN	2644-125X
IngestDate	Mon Oct 20 20:02:35 EDT 2025 Thu Oct 30 15:56:08 EDT 2025 Sat Nov 29 07:06:58 EST 2025 Sat Oct 25 03:08:44 EDT 2025
IsDoiOpenAccess	true
IsOpenAccess	true
IsPeerReviewed	true
IsScholarly	true
Language	English
License	https://creativecommons.org/licenses/by/4.0/legalcode
LinkModel	DirectLink
MergedId	FETCHMERGED-LOGICAL-c361t-d584e034208e2334984774bf5ec9dd54e6fd10213dc4775d292cf10bc36c3cce3
Notes	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ORCID	0000-0002-1412-5766 0000-0003-1968-1582
OpenAccessLink	https://doaj.org/article/c0e3f485d9d6424b9791fc7c5ed5b1d5
PQID	3262321043
PQPubID	5075783
PageCount	11
ParticipantIDs	ieee_primary_11189858 doaj_primary_oai_doaj_org_article_c0e3f485d9d6424b9791fc7c5ed5b1d5 proquest_journals_3262321043 crossref_primary_10_1109_OJCOMS_2025_3617311
PublicationCentury	2000
PublicationDate	20250000 2025-00-00 20250101 2025-01-01
PublicationDateYYYYMMDD	2025-01-01
PublicationDate_xml	– year: 2025 text: 20250000
PublicationDecade	2020
PublicationPlace	New York
PublicationPlace_xml	– name: New York
PublicationTitle	IEEE open journal of the Communications Society
PublicationTitleAbbrev	OJCOMS
PublicationYear	2025
Publisher	IEEE The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher_xml	– name: IEEE – name: The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
References	ref13 ref12 ref15 ref14 ref11 ref10 ref2 ref1 ref17 ref16 ref19 ref18 Zheng (ref25) Kestel (ref20) ref24 ref23 ref26 ref22 ref21 ref8 ref7 ref9 ref4 ref3 ref6 ref5
References_xml	– ident: ref10 doi: 10.1109/REDUNDANCY48165.2019.9003333 – ident: ref19 doi: 10.1109/ICCCWorkshops55477.2022.9896648 – ident: ref16 doi: 10.1109/ISIT45174.2021.9518184 – ident: ref7 doi: 10.1109/TIT.2005.864443 – ident: ref1 doi: 10.1109/TIT.2009.2021379 – ident: ref6 doi: 10.1109/TBC.2023.3345642 – ident: ref22 doi: 10.1109/ISIT50566.2022.9834828 – ident: ref23 doi: 10.1109/WCSP.2018.8555616 – ident: ref11 doi: 10.1109/TCOMM.2021.3098798 – ident: ref8 doi: 10.1109/TIT.2015.2410251 – ident: ref4 doi: 10.1109/LCOMM.2019.2963645 – ident: ref15 doi: 10.1109/TIT.1954.1057465 – ident: ref17 doi: 10.1109/GLOBECOM46510.2021.9685181 – ident: ref26 doi: 10.1109/GLOCOM.2018.8648105 – ident: ref3 doi: 10.1109/LCOMM.2011.101811.111480 – ident: ref18 doi: 10.1109/ISIT50566.2022.9834782 – ident: ref9 doi: 10.1109/JSAC.2014.140514 – ident: ref21 doi: 10.1109/icc45855.2022.9838937 – ident: ref2 doi: 10.1109/isit.2000.866353 – ident: ref14 doi: 10.1109/IREPGELC.1954.6499441 – ident: ref5 doi: 10.1109/LWC.2020.3047809 – ident: ref12 doi: 10.1109/GCWkshp64532.2024.11100399 – ident: ref24 doi: 10.1109/TVT.2018.2806364 – ident: ref13 doi: 10.1109/ISIT.2016.7541295 – start-page: 1 volume-title: Proc. 26th Int. ITG Workshop Smart Antennas 13th Conf. Syst., Commun., Coding ident: ref20 article-title: Automorphism ensemble polar code decoders for 6G URLLC – start-page: 1 volume-title: Proc. 25th Int. ITG Workshop Smart Antennas ident: ref25 article-title: A hybrid polar coding design over non-coherent channels
SSID	ssj0002511134
Score	2.2786956
Snippet	The anticipated demands of 6G ultra-reliable low-latency communications (URLLC) call for near-instantaneous data transfers and error-correction efficiency...
SourceID	doaj proquest crossref ieee
SourceType	Open Website Aggregation Database Index Database Publisher
StartPage	8625
SubjectTerms	Algorithms Automorphism ensemble decoding Automorphisms Codes Complexity theory Decoding Delays Error correction Harnesses low-delay decoding Maximum likelihood decoding Measurement monomial codes Network latency Permutations Polar codes Reed-Muller codes Symmetric matrices Ultra reliable low latency communication Vectors
SummonAdditionalLinks	– databaseName: IEEE Electronic Library (IEL) dbid: RIE link: http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1LT9wwELYK6qE99AFUXaDIhx4biGN7Yx8pBSHUQtUtKjdr7RmrK7G7FRuQ-PeMHS8UoR56ixxbfnyZzCOZbxj7aBUEchx8BaYNlbK-rmxUUEEYCzEm0WyGOVH4a3t6ai4u7PeSrJ5zYRAx_3yGu-kyf8uHebhOobI9kktjjTYrbKVth32y1n1AJdnKQqrCLCRqu3d2cnD2bUQ-YKN3JWlqKcQj7ZNJ-ktVlSev4qxfjl7_58resFfFkOT7PfJv2TOcrbGXf9ELrrPR_nU3n87pJCeLKR9hx1N5ziVhLCdzlT_qcThb4NRfIv9CPmnSafzXpPvNfyR2VwRqvRzfbrDzo8OfB8dVKaJQBdpzVwFZGJh4_mqDjZTKkjpqlY8agwXQCocRUnlvCYFuaGhsE6KoPY0OMgSU79jqbD7D94ybGqMX0itfKxVtHBsPVpIN1jZe2dYO2Kfl4bo_PVeGyz5GbV2PhUtYuILFgH1OANx3TUTXuYFO1hW5caFGGZXRYIE8JeVpGhFDGzSC9gL0gG0kNB7mK0AM2PYST1ekcuHIVG1SzpKSm_8YtsVepCX2MZZttkqQ4Af2PNx0k8XVTn7g7gA45NSY priority: 102 providerName: IEEE
Title	Automorphism Set Construction for Automorphism Ensemble Decoding With Reduced Delay
URI	https://ieeexplore.ieee.org/document/11189858 https://www.proquest.com/docview/3262321043 https://doaj.org/article/c0e3f485d9d6424b9791fc7c5ed5b1d5
Volume	6
WOSCitedRecordID	wos001596847300002&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText	1
inHoldings	1
isFullTextHit
isPrint
journalDatabaseRights	– providerCode: PRVAON databaseName: DOAJ Directory of Open Access Journals customDbUrl: eissn: 2644-125X dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0002511134 issn: 2644-125X databaseCode: DOA dateStart: 20200101 isFulltext: true titleUrlDefault: https://www.doaj.org/ providerName: Directory of Open Access Journals – providerCode: PRVHPJ databaseName: ROAD: Directory of Open Access Scholarly Resources customDbUrl: eissn: 2644-125X dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0002511134 issn: 2644-125X databaseCode: M~E dateStart: 20200101 isFulltext: true titleUrlDefault: https://road.issn.org providerName: ISSN International Centre
link	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV07T8MwELZQxQAD4lFEoVQeGAm1Y6eJx1JaIURbREF0s-qXqNQHogGJhd_OOUmhFQMLSwbHkePvYt93Vu47hM4ENxoCBxWYJNYBF4oEwnETGD2idARLM2xkicK3ca-XDIfibqXUl_8nLJcHzoGra2KZ40lkhAGqzJWIBXU61pE1kaImUy8lsVgJpvwe7IkzZbyQGaJE1Ps3rX53AAFhGF0wcNuM0jVXlCn2FyVWfu3LmbPp7KKdgiXiZv52e2jDzvbR9op24AEaNN_S-XQOMI0XUzywKfa1N5dqsBi4KF7r0Z4t7FRNLL6CgNM7LPw0Tp_xvZdutQZaJ6OPMnrstB9a10FRISHQMIc0MEAfrBfxI4kNGeMCfE3MlYusFsZE3Dac8bW7mdFwIzKhCLWjRMHTmmlt2SEqzeYze4RwQqxTlCmuCOdOuFGijGBAsOJQcQC9gs6XYMmXXAhDZgEEETLHVnpsZYFtBV16QL-7ehXrrAFsKwvbyr9sW0Flb46f8SAaEkmUVFB1aR9ZLLmFBB4a-oQkzo7_Y-wTtOXnk5-2VFEJ7GdP0aZ-T8eL11r2tcG1-9muZTmDX6gz2Z4
linkProvider	Directory of Open Access Journals
linkToHtml	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1Lb9QwEB5BQQIO5VXE0gI-cCRtHNuNfSx9qMB2i9gierPW9lis1N1FbIrEv2fseFsqxIFb5Njy48tkHsl8A_DGyODJcXBV0K2vpHF1ZaIMVfATzickms1uThQetqORPj83n0qyes6FQcT88xlup8v8LT8s_GUKle2QXGqjlb4Nd5SUTd2na12FVJK1zIUs3EK8NjunH_ZPT8bkBTZqW5CuFpzf0D-Zpr_UVfnrZZw1zNHD_1zbI1gvpiTb67F_DLdw_gQe_EEw-BTGe5fdYrags5wuZ2yMHUsFOleUsYwMVnajx-F8iTN3geyAvNKk1djXafeNfU78rhio9WLyawO-HB2e7R9XpYxC5WnPXRXIxsDE9FdrbISQhhRSK11U6E0ISuJuDKnAtwiebqjQmMZHXjsa7YX3KJ7B2nwxx-fAdI3RceGkq6WMJk60C0aQFdY2TprWDODt6nDt954tw2Yvoza2x8ImLGzBYgDvEgBXXRPVdW6gk7VFcqyvUUSpVTCBfCXpaBoefesVBuV4UAPYSGhcz1eAGMDWCk9b5HJpyVhtUtaSFC_-Mew13Ds-Oxna4fvRx024n5bbR1y2YI3gwZdw1__spssfr_LD9xtu5Nff
openUrl	ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Automorphism+Set+Construction+for+Automorphism+Ensemble+Decoding+With+Reduced+Delay&rft.jtitle=IEEE+open+journal+of+the+Communications+Society&rft.au=Fominykh%2C+Anna&rft.au=Shabunov%2C+Kirill&rft.date=2025&rft.issn=2644-125X&rft.eissn=2644-125X&rft.volume=6&rft.spage=8625&rft.epage=8635&rft_id=info:doi/10.1109%2FOJCOMS.2025.3617311&rft.externalDBID=n%2Fa&rft.externalDocID=10_1109_OJCOMS_2025_3617311
thumbnail_l	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2644-125X&client=summon
thumbnail_m	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2644-125X&client=summon
thumbnail_s	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2644-125X&client=summon