{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,16]],"date-time":"2026-02-16T09:37:50Z","timestamp":1771234670166,"version":"3.50.1"},"reference-count":48,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"10","license":[{"start":{"date-parts":[[2014,10,1]],"date-time":"2014-10-01T00:00:00Z","timestamp":1412121600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"funder":[{"DOI":"10.13039\/501100001732","name":"Danish National Research Foundation","doi-asserted-by":"crossref","id":[{"id":"10.13039\/501100001732","id-type":"DOI","asserted-by":"crossref"}]},{"name":"National Natural Science Foundation of China through the Danish-Chinese Center for Applications of Algebraic Geometry in Coding Theory and Cryptography","award":["11061130539"],"award-info":[{"award-number":["11061130539"]}]},{"DOI":"10.13039\/501100001691","name":"Japan Society for the Promotion of Science","doi-asserted-by":"crossref","award":["23246071"],"award-info":[{"award-number":["23246071"]}],"id":[{"id":"10.13039\/501100001691","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001691","name":"Japan Society for the Promotion of Science","doi-asserted-by":"crossref","award":["26289116"],"award-info":[{"award-number":["26289116"]}],"id":[{"id":"10.13039\/501100001691","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100004836","name":"Danish Council for Independent Research","doi-asserted-by":"crossref","award":["DFF-4002-00367"],"award-info":[{"award-number":["DFF-4002-00367"]}],"id":[{"id":"10.13039\/501100004836","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Spanish Ministry of Economy and Competitiveness","award":["MTM2012-36917-C03-03"],"award-info":[{"award-number":["MTM2012-36917-C03-03"]}]},{"DOI":"10.13039\/501100012166","name":"National Basic Research Program of China","doi-asserted-by":"crossref","award":["2013CB338004"],"award-info":[{"award-number":["2013CB338004"]}],"id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["61271222"],"award-info":[{"award-number":["61271222"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2014,10]]},"DOI":"10.1109\/tit.2014.2345375","type":"journal-article","created":{"date-parts":[[2014,8,5]],"date-time":"2014-08-05T14:35:01Z","timestamp":1407249301000},"page":"5938-5949","source":"Crossref","is-referenced-by-count":32,"title":["Relative Generalized Hamming Weights of One-Point Algebraic Geometric Codes"],"prefix":"10.1109","volume":"60","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9666-3399","authenticated-orcid":false,"given":"Olav","family":"Geil","sequence":"first","affiliation":[]},{"given":"Stefano","family":"Martin","sequence":"additional","affiliation":[]},{"given":"Ryutaroh","family":"Matsumoto","sequence":"additional","affiliation":[]},{"given":"Diego","family":"Ruano","sequence":"additional","affiliation":[]},{"family":"Yuan Luo","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1145\/359168.359176"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1016\/j.ffa.2003.10.004"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/18.749019"},{"key":"ref32","first-page":"926","article-title":"On the Feng&#x2013;Rao bound for the L-construction of algebraic geometry codes","volume":"e83 a","author":"matsumoto","year":"2000","journal-title":"IEICE Trans Fund Elect Comm Comp Sc"},{"key":"ref31","first-page":"33","article-title":"Some applications of coding theory in cryptography","author":"massey","year":"1995","journal-title":"Codes and Ciphers Cryptography and Coding IV"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2004.842763"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-7091-2786-5_20"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-39757-4_5"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1006\/ffta.2000.0283"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1016\/j.ffa.2012.12.001"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/18.179340"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/18.335972"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1109\/18.21267"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/18.476241"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/18.340452"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1016\/j.ffa.2014.05.006"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-014-9983-z"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/ITW.2014.6970808"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1016\/j.ffa.2013.03.005"},{"key":"ref18","doi-asserted-by":"crossref","first-page":"489","DOI":"10.3934\/amc.2011.5.489","article-title":"On the order bounds for one-point AG codes","volume":"5","author":"geil","year":"2011","journal-title":"Adv Math Commun"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1006\/ffta.2001.0347"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-39568-7_20"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1587\/transfun.E95.A.2067"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1137\/S089548019834342X"},{"key":"ref27","article-title":"Relative generalized rank weight of linear codes and its applications to network coding","author":"kurihara","year":"0"},{"key":"ref6","first-page":"291","article-title":"Secure computation from random error correcting codes","volume":"4515","author":"chen","year":"2007","journal-title":"Adv Cryptology"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1007\/BF00198463"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-008-9170-1"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1007\/s11565-008-0037-1"},{"key":"ref7","article-title":"Ramp secret sharing and secure information storage","author":"csirmaz","year":"0"},{"key":"ref2","article-title":"Generalized Hamming weights and their applications to secret sharing schemes","author":"bains","year":"2008"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1016\/j.ffa.2009.11.006"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ffa.2006.12.004"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1002\/ecja.4410690906"},{"key":"ref20","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1007\/11617983_29","article-title":"On the Feng&#x2013;Rao bound for generalized Hamming weights","volume":"3857","author":"geil","year":"2006","journal-title":"Applied Algebra Algebraic Algorithms and Error-Correcting Codes"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1002\/j.1538-7305.1975.tb02040.x"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-012-9657-7"},{"key":"ref22","first-page":"871","article-title":"Algebraic geometry codes","volume":"1","author":"h\u00f8holdt","year":"1998","journal-title":"Handbook of Coding Theory"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0087995"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/18.651015"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1007\/BF01443420"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1987.1057327"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511807077"},{"key":"ref41","article-title":"MDS codes on the erasure-erasure wiretap channel","author":"subramanian","year":"2009"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1109\/18.133259"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1016\/j.ipl.2005.09.012"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1002\/ecjc.4430720906"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-011-3810-9"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/18\/6895347\/06871379.pdf?arnumber=6871379","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,12]],"date-time":"2022-01-12T11:51:19Z","timestamp":1641988279000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/6871379\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,10]]},"references-count":48,"journal-issue":{"issue":"10"},"URL":"https:\/\/doi.org\/10.1109\/tit.2014.2345375","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"value":"0018-9448","type":"print"},{"value":"1557-9654","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,10]]}}}