{"created":"2023-07-27T06:27:42.485708+00:00","id":11971,"links":{},"metadata":{"_buckets":{"deposit":"751cdf24-1021-4854-bd3d-2cf5572b89f5"},"_deposit":{"created_by":3,"id":"11971","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"11971"},"status":"published"},"_oai":{"id":"oai:kanazawa-u.repo.nii.ac.jp:00011971","sets":["934:1052:1054:1055"]},"author_link":["241","18797"],"item_9_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2015-05-31","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"85","bibliographicPageStart":"80","bibliographicVolumeNumber":"6","bibliographic_titles":[{"bibliographic_title":"Recent development in computational science"}]}]},"item_9_description_21":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"BCH codes are subclass of cyclic codes with strong properties and have been known for years. In 1994, Chen, Reed, Helleseth, and Truong proposed a decoding procedure for t-error-correcting codes via CRHT syndrome variety using computation of lexicographical Gr¨obner bases of the ideal. In 2005, Orsini and Sala added polynomial χl,l˜, 1 ≤ l < l˜≤ t, to a system of algebraic equations I to make sure that the position of any two errors are distinct or at least one of them is zero. In 2014, Takuya Fushisato proposed a modified system J to solve 2-error-correcting BCH codes problem. Here the polynomial τj ∈ J is a divisor of σj and contain all possible syndromes of type 0, αi1 , αi1 + αi2 ∈ Fqm as roots. Generally, τj may be regarded as the minimal polynomial of the roots. In this paper, Fushisato’s system is generalized into K in which Ωj ∈ K contains all possible roots of t-error-correcting BCH codes in the set Sol ⊆ Fqm . Using the system of polyno-mials K, the general error locator polynomials of 3-error-correcting codes could be computed and the computation time of some codes were reduced.","subitem_description_type":"Abstract"}]},"item_9_description_22":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"Selected Papers from the International Symposium on Computational Science - International Symposium on Computational Science Kanazawa University, Japan","subitem_description_type":"Other"}]},"item_9_publisher_17":{"attribute_name":"公開者","attribute_value_mlt":[{"subitem_publisher":"Kanazawa e-Publishing"}]},"item_9_rights_23":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"Organizing Committee of ISCS 2015"}]},"item_9_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"2223-0785","subitem_source_identifier_type":"ISSN"}]},"item_9_version_type_25":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-10-03"}],"displaytype":"detail","filename":"ISCS2015Proceedings-80-85.pdf","filesize":[{"value":"254.8 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"ISCS2015Proceedings-80-85.pdf","url":"https://kanazawa-u.repo.nii.ac.jp/record/11971/files/ISCS2015Proceedings-80-85.pdf"},"version_id":"829c7bea-585e-4c21-9167-2d087fc64ba0"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"research report","resourceuri":"http://purl.org/coar/resource_type/c_18ws"}]},"item_title":"Computing general error locator polynomial of 3-error-correcting BCH codes via syndrome varieties using minimal polynomial","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Computing general error locator polynomial of 3-error-correcting BCH codes via syndrome varieties using minimal polynomial"}]},"item_type_id":"9","owner":"3","path":["1055"],"pubdate":{"attribute_name":"公開日","attribute_value":"2017-10-03"},"publish_date":"2017-10-03","publish_status":"0","recid":"11971","relation_version_is_last":true,"title":["Computing general error locator polynomial of 3-error-correcting BCH codes via syndrome varieties using minimal polynomial"],"weko_creator_id":"3","weko_shared_id":-1},"updated":"2023-07-28T01:29:02.540954+00:00"}