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It is an improvement on those proposed by Itoh and Tsujii and by Chang et al., which are based on Fermat\u0027s Theorem and require O(logm) multiplications. The number of multiplications is reduced by decomposing m y 1 into several factors and a small remainder.", "subitem_description_language": "en", "subitem_description_type": "Abstract"}]}, "item_10_identifier_60": {"attribute_name": "URI", "attribute_value_mlt": [{"subitem_identifier_type": "HDL", "subitem_identifier_uri": "http://hdl.handle.net/2237/5292"}]}, "item_10_publisher_32": {"attribute_name": "出版者", "attribute_value_mlt": [{"subitem_publisher": "IEEE", "subitem_publisher_language": "en"}]}, "item_10_relation_11": {"attribute_name": "DOI", "attribute_value_mlt": [{"subitem_relation_type": "isVersionOf", "subitem_relation_type_id": {"subitem_relation_type_id_text": "http://doi.org/10.1109/12.926155", "subitem_relation_type_select": "DOI"}}]}, "item_10_rights_12": {"attribute_name": "権利", "attribute_value_mlt": [{"subitem_rights": "Copyright c 2005 IEEE. Reprinted from (relevant publication info). This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Nagoya University’s products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org.", "subitem_rights_language": "en"}]}, "item_10_select_15": {"attribute_name": "著者版フラグ", "attribute_value_mlt": [{"subitem_select_item": "publisher"}]}, "item_10_source_id_7": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "00189340", "subitem_source_identifier_type": "PISSN"}]}, "item_10_text_14": {"attribute_name": "フォーマット", "attribute_value_mlt": [{"subitem_text_value": "application/pdf"}]}, "item_1615787544753": {"attribute_name": "出版タイプ", "attribute_value_mlt": [{"subitem_version_resource": "http://purl.org/coar/version/c_970fb48d4fbd8a85", "subitem_version_type": "VoR"}]}, "item_access_right": {"attribute_name": "アクセス権", "attribute_value_mlt": [{"subitem_access_right": "open access", "subitem_access_right_uri": "http://purl.org/coar/access_right/c_abf2"}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "高木, 直史", "creatorNameLang": "ja"}], "nameIdentifiers": [{"nameIdentifier": "9764", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "Takagi, Naofumi", "creatorNameLang": "en"}], "nameIdentifiers": [{"nameIdentifier": "9765", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "ファイル情報", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2018-02-19"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "00926155.pdf", "filesize": [{"value": "195.5 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 195500.0, "url": {"label": "00926155.pdf", "objectType": "fulltext", "url": "https://nagoya.repo.nii.ac.jp/record/3867/files/00926155.pdf"}, "version_id": "512b8ea7-f25e-4ace-ad07-087d65a7e8f3"}]}, "item_keyword": {"attribute_name": "キーワード", "attribute_value_mlt": [{"subitem_subject": "Finite field", "subitem_subject_scheme": "Other"}, {"subitem_subject": "finite field inversion", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Fermat\u0027s theorem", "subitem_subject_scheme": "Other"}, {"subitem_subject": "normal basis", "subitem_subject_scheme": "Other"}]}, "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": "journal article", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "A fast algorithm for multiplicative inversion in GF(2m) using normal basis", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "A fast algorithm for multiplicative inversion in GF(2m) using normal basis", "subitem_title_language": "en"}]}, "item_type_id": "10", "owner": "1", "path": ["314"], "permalink_uri": "http://hdl.handle.net/2237/5292", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2006-01-10"}, "publish_date": "2006-01-10", "publish_status": "0", "recid": "3867", "relation": {}, "relation_version_is_last": true, "title": ["A fast algorithm for multiplicative inversion in GF(2m) using normal basis"], "weko_shared_id": -1}