{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,17]],"date-time":"2025-12-17T12:45:08Z","timestamp":1765975508364},"reference-count":11,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[2003,5,1]],"date-time":"2003-05-01T00:00:00Z","timestamp":1051747200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":3730,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Applied Mathematics"],"published-print":{"date-parts":[[2003,5]]},"DOI":"10.1016\/s0166-218x(02)00449-3","type":"journal-article","created":{"date-parts":[[2003,5,12]],"date-time":"2003-05-12T23:10:20Z","timestamp":1052781020000},"page":"251-261","source":"Crossref","is-referenced-by-count":14,"title":["A lower bound on the weight hierarchies of product codes"],"prefix":"10.1016","volume":"128","author":[{"given":"Hans Georg","family":"Schaathun","sequence":"first","affiliation":[]},{"given":"Wolfgang","family":"Willems","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"issue":"5","key":"10.1016\/S0166-218X(02)00449-3_BIB1","doi-asserted-by":"crossref","first-page":"1475","DOI":"10.1109\/18.412691","article-title":"Weight hierarchy of a product code","volume":"41","author":"Barbero","year":"1995","journal-title":"IEEE Trans. Inform. Theory"},{"issue":"6","key":"10.1016\/S0166-218X(02)00449-3_BIB2","doi-asserted-by":"crossref","first-page":"1741","DOI":"10.1109\/18.340452","article-title":"Dimension\/length profiles and trellis complexity of linear block codes","volume":"40","author":"Forney","year":"1994","journal-title":"IEEE Trans. Inform. Theory"},{"key":"10.1016\/S0166-218X(02)00449-3_BIB3","series-title":"Algebraic Geometry","author":"Harris","year":"1992"},{"issue":"3","key":"10.1016\/S0166-218X(02)00449-3_BIB4","doi-asserted-by":"crossref","first-page":"1029","DOI":"10.1109\/18.490571","article-title":"The weight hierarchies of some product codes","volume":"42","author":"Helleseth","year":"1996","journal-title":"IEEE Trans. Inform. Theory"},{"key":"10.1016\/S0166-218X(02)00449-3_BIB5","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1016\/0012-365X(77)90078-4","article-title":"The weight distribution of irreducible cyclic codes with block lengths n1((ql\u22121)\/n)","volume":"18","author":"Helleseth","year":"1977","journal-title":"Discrete Math."},{"issue":"3","key":"10.1016\/S0166-218X(02)00449-3_BIB6","doi-asserted-by":"crossref","first-page":"1133","DOI":"10.1109\/18.135655","article-title":"Generalized Hamming weights of linear codes","volume":"38","author":"Helleseth","year":"1992","journal-title":"IEEE Trans. Inform. Theory"},{"key":"10.1016\/S0166-218X(02)00449-3_BIB7","unstructured":"C. Mart\u0131\u0301nez-P\u00e9rez, W. Willems, On the weight hierarchy of product codes, Preprint, Designs, Codes, and Cryptography, 2001, submitted for publication."},{"issue":"6","key":"10.1016\/S0166-218X(02)00449-3_BIB8","doi-asserted-by":"crossref","first-page":"2228","DOI":"10.1109\/18.868495","article-title":"The weight hierarchies of some product codes","volume":"46","author":"Park","year":"2000","journal-title":"IEEE Trans. Inform. Theory"},{"issue":"7","key":"10.1016\/S0166-218X(02)00449-3_BIB9","doi-asserted-by":"crossref","first-page":"2648","DOI":"10.1109\/18.887876","article-title":"The weight hierarchy of product codes","volume":"46","author":"Schaathun","year":"2000","journal-title":"IEEE Trans. Inform. Theory"},{"issue":"5","key":"10.1016\/S0166-218X(02)00449-3_BIB10","doi-asserted-by":"crossref","first-page":"1412","DOI":"10.1109\/18.133259","article-title":"Generalized Hamming weights for linear codes","volume":"37","author":"Wei","year":"1991","journal-title":"IEEE Trans. Inform. Theory"},{"issue":"5","key":"10.1016\/S0166-218X(02)00449-3_BIB11","doi-asserted-by":"crossref","first-page":"1709","DOI":"10.1109\/18.259662","article-title":"On the generalized Hamming weights of product codes","volume":"39","author":"Wei","year":"1993","journal-title":"IEEE Trans. Inform. Theory"}],"container-title":["Discrete Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0166218X02004493?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0166218X02004493?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,3,27]],"date-time":"2019-03-27T11:30:12Z","timestamp":1553686212000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0166218X02004493"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,5]]},"references-count":11,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2003,5]]}},"alternative-id":["S0166218X02004493"],"URL":"https:\/\/doi.org\/10.1016\/s0166-218x(02)00449-3","relation":{},"ISSN":["0166-218X"],"issn-type":[{"value":"0166-218X","type":"print"}],"subject":[],"published":{"date-parts":[[2003,5]]}}}