[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-15567":3,"doc-seo-15567":27},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"file_id":15,"file_url":16,"file_type":17,"file_size":18,"view_count":19,"is_deleted":4,"is_public":20,"is_downloadable":20,"audit_status":20,"page_count":21,"language":22,"language_code":23,"table_of_contents":24,"faqs":24,"seo_title":13,"seo_description":14,"update_tm":25,"read_time":26},15567,1374391975076,"Riley","https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d",8,"Research & Report","On Lengths of Singleton-optimal Locally Repairable Codes","研究局部可修复码中达到 Singleton 型界的 Singleton-optimal 性质，重点在于在固定局部性和最小距离条件下确定此类码的最大长度。与经典 MDS 不同，Singleton-optimal LRC 的最大长度对最小距离和局部性极其敏感。文中给出最小距离为 5、6、7 时在不要求 (r+1)整除 n 且恢复集合不相交的条件下的上界，并据此提出传播规则以推导较大局部性和距离条件下的上界。","cbCairwyNWZ9DDG2","https://ap.wps.com/l/cbCairwyNWZ9DDG2","pdf",3499712,2,1,10,"English","en","",1776562703,25,{"code":4,"msg":28,"data":29},"ok",{"site_id":30,"language":23,"slug":31,"title":13,"keywords":24,"description":14,"schema_data":32,"social_meta":66,"head_meta":69,"extra_data":71,"updated_unix":25},105,"on-lengths-of-singleton-optimal-locally-repairable-codes",{"@graph":33,"@context":65},[34,50],{"@type":35,"itemListElement":36},"BreadcrumbList",[37,41,44,47],{"item":38,"name":39,"@type":40,"position":20},"https://docshare.wps.com","Home","ListItem",{"item":42,"name":43,"@type":40,"position":19},"https://docshare.wps.com/document/","Document",{"item":45,"name":12,"@type":40,"position":46},"https://docshare.wps.com/document/research-report/",3,{"item":48,"name":13,"@type":40,"position":49},"https://docshare.wps.com/document/on-lengths-of-singleton-optimal-locally-repairable-codes/15567/",4,{"url":48,"name":13,"@type":51,"author":52,"headline":13,"publisher":54,"fileFormat":57,"description":14,"dateModified":58,"datePublished":59,"encodingFormat":57,"isAccessibleForFree":60,"interactionStatistic":61},"DigitalDocument",{"name":9,"@type":53},"Person",{"url":38,"name":55,"@type":56},"DocShare","Organization","application/pdf","2026-05-22","2026-04-19",true,{"@type":62,"interactionType":63,"userInteractionCount":19},"InteractionCounter",{"@type":64},"ViewAction","https://schema.org",{"og:url":67,"og:type":68,"og:title":13,"og:site_name":55,"og:description":14},"https://docshare.wps.com/document/on-lengths-of-singleton-optimal-locally-repairable-codes/15567","article",{"robots":70,"canonical":67},"index,follow",{"doc_id":7,"site_id":30}]