Lattice Erasure Codes of Low Rank with Noise Margins
Lattice codes of low rank are considered for an additive Gaussian noise channel with erasures. The objective is to minimize the error probability with no erasures subject to rate and power constraints while ensuring that the error probability under an allowable erasure pattern is bounded from above....
Saved in:
| Published in | 2018 IEEE International Symposium on Information Theory (ISIT) pp. 961 - 965 |
|---|---|
| Main Author | |
| Format | Conference Proceeding |
| Language | English |
| Published |
IEEE
01.06.2018
|
| Subjects | |
| Online Access | Get full text |
| ISSN | 2157-8117 |
| DOI | 10.1109/ISIT.2018.8437515 |
Cover
| Abstract | Lattice codes of low rank are considered for an additive Gaussian noise channel with erasures. The objective is to minimize the error probability with no erasures subject to rate and power constraints while ensuring that the error probability under an allowable erasure pattern is bounded from above. Allowable erasure patterns considered here are those of fixed cardinality. Bounds on performance are derived, and several constructions are investigated for lattices in dimension four. It is shown that the problem can be viewed as a simultaneous ellipsoid packing problem, a generalization of the well known sphere packing problem. |
|---|---|
| AbstractList | Lattice codes of low rank are considered for an additive Gaussian noise channel with erasures. The objective is to minimize the error probability with no erasures subject to rate and power constraints while ensuring that the error probability under an allowable erasure pattern is bounded from above. Allowable erasure patterns considered here are those of fixed cardinality. Bounds on performance are derived, and several constructions are investigated for lattices in dimension four. It is shown that the problem can be viewed as a simultaneous ellipsoid packing problem, a generalization of the well known sphere packing problem. |
| Author | Vaishampayan, Vinay A. |
| Author_xml | – sequence: 1 givenname: Vinay A. surname: Vaishampayan fullname: Vaishampayan, Vinay A. organization: Dept. of Engineering Science and Physics, City University of New York-College of Staten Island, Staten Island, NY, USA |
| BookMark | eNotj8tKw0AUQEdRsNZ8gLiZH0icO-8sJdQaiApa1-VOcqPjI5FMpPj3FixncXYHzjk7GcaBGLsEUQCI8rp-rjeFFOALr5UzYI5YVjoPRnmr91bHbCHBuNwDuDOWpfQuhJDWa1vCgukG5zm2xFcTpp-JeDV2lPjY82bc8SccPvguzm_8YYyJ-D1Or3FIF-y0x89E2cFL9nK72lR3efO4rqubJo_gzJxb12lFQqINBMp47ILSoesCQCudN06WGHTfSYfYgqY9jlxf2hYtKhfUkl39dyMRbb-n-IXT7_bwqf4A9TVHRA |
| ContentType | Conference Proceeding |
| DBID | 6IE 6IH CBEJK RIE RIO |
| DOI | 10.1109/ISIT.2018.8437515 |
| DatabaseName | IEEE Electronic Library (IEL) Conference Proceedings IEEE Proceedings Order Plan (POP) 1998-present by volume IEEE Xplore All Conference Proceedings IEEE Electronic Library (IEL) IEEE Proceedings Order Plans (POP) 1998-present |
| DatabaseTitleList | |
| Database_xml | – sequence: 1 dbid: RIE name: IEEE Xplore Digital Library url: https://proxy.k.utb.cz/login?url=https://ieeexplore.ieee.org/ sourceTypes: Publisher |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Computer Science |
| EISBN | 9781538647813 1538647818 |
| EISSN | 2157-8117 |
| EndPage | 965 |
| ExternalDocumentID | 8437515 |
| Genre | orig-research |
| GroupedDBID | 6IE 6IH 6IK 6IL 6IN AAWTH ABLEC ADZIZ ALMA_UNASSIGNED_HOLDINGS BEFXN BFFAM BGNUA BKEBE BPEOZ CBEJK CHZPO IEGSK IJVOP OCL RIE RIL RIO |
| ID | FETCH-LOGICAL-i175t-67d43e02a6be1358adb34bddb11c2785729ab4fd27aac14e4e47e7f96ca6a37b3 |
| IEDL.DBID | RIE |
| IngestDate | Wed Aug 27 02:59:35 EDT 2025 |
| IsPeerReviewed | false |
| IsScholarly | false |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-i175t-67d43e02a6be1358adb34bddb11c2785729ab4fd27aac14e4e47e7f96ca6a37b3 |
| PageCount | 5 |
| ParticipantIDs | ieee_primary_8437515 |
| PublicationCentury | 2000 |
| PublicationDate | 2018-June |
| PublicationDateYYYYMMDD | 2018-06-01 |
| PublicationDate_xml | – month: 06 year: 2018 text: 2018-June |
| PublicationDecade | 2010 |
| PublicationTitle | 2018 IEEE International Symposium on Information Theory (ISIT) |
| PublicationTitleAbbrev | ISIT |
| PublicationYear | 2018 |
| Publisher | IEEE |
| Publisher_xml | – name: IEEE |
| SSID | ssj0002684691 ssj0037302 |
| Score | 1.6721562 |
| Snippet | Lattice codes of low rank are considered for an additive Gaussian noise channel with erasures. The objective is to minimize the error probability with no... |
| SourceID | ieee |
| SourceType | Publisher |
| StartPage | 961 |
| SubjectTerms | Ellipsoid Packing Ellipsoids Erasure Codes Error probability Generators Information theory Lattices Modulation Rotation Matrices Sphere Packing Upper bound |
| Title | Lattice Erasure Codes of Low Rank with Noise Margins |
| URI | https://ieeexplore.ieee.org/document/8437515 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1Na8IwGA7O005u07FvcthxrWmTNulZFB0qY1PwJvl4CyK0w1YG-_VL2urY2GHkEgIJ-X7Cm-d5X4QewyClPAF7vmPGPUa18IRU4BlmsdvicyorefRsHo-X7HkVrVro6aiFAYCKfAa-y1Z_-SbXe2cq6wtGeeQU5SdcxLVW62hPcV5LKr8v9S1M7c4Nm1_MgCT9ydtk4Yhcwm8a-RFNpQKTUQfNDt2oOSRbf18qX3_-8tD4336eod63bA-_HAHpHLUgu0CdQ9wG3BzjLmJTWTrOGx7uKgMhHuQGCpyneJp_4FeZbbEzz-J5vikAu1C4m6zooeVouBiMvSZ6grexT4LSi7lhFEgoYwUBjYQ0ijJljAoCHXIR2Ve1VCw1IZdSBwxs4sDTJNYylpQreonaWZ7BFcKBMcRQAUBMxGz1xN7WhNKQGKWVCsk16rpJWL_XDjLWzfhv_i6-RaduIWq-1R1ql7s93FtkL9VDtaRfVZmhSw |
| linkProvider | IEEE |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV3Pa8IwFH6IO2wnt-nY7-Ww41rbJm3asyi6VRmbgjdJmlcQoRWtDPbXL2mrY2OHkUsIJOT3F16-7z2AR89NKY9Qn--AcYvRJLRCIdFSTGO3xudUlPLo8SQYztjz3J834OmghUHEknyGtsmWf_kqT3bGVNYNGeW-UZQf-Ywxv1JrHSwqxm9J6fmluoep3rte_Y_pOlF39D6aGipXaNfN_IinUsLJoAXjfUcqFsnK3hXSTj5_-Wj8b09PofMt3COvB0g6gwZm59DaR24g9UFuA4tFYVhvpL8pTYSklyvckjwlcf5B3kS2IsZASyb5covEBMNdZtsOzAb9aW9o1fETrKV-FBRWwBWj6HgikOhSPxRKUiaVkq6beDz09btaSJYqjwuRuAx14sjTKEhEICiX9AKaWZ7hJRBXKUfRENFRPtPVI31fO5R6jpKJlJ5zBW0zCYt15SJjUY__-u_iBzgeTsfxIh5NXm7gxCxKxb66hWax2eGdxvlC3pfL-wX6i6SY |
| 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%3Abook&rft.genre=proceeding&rft.title=2018+IEEE+International+Symposium+on+Information+Theory+%28ISIT%29&rft.atitle=Lattice+Erasure+Codes+of+Low+Rank+with+Noise+Margins&rft.au=Vaishampayan%2C+Vinay+A.&rft.date=2018-06-01&rft.pub=IEEE&rft.eissn=2157-8117&rft.spage=961&rft.epage=965&rft_id=info:doi/10.1109%2FISIT.2018.8437515&rft.externalDocID=8437515 |