{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,28]],"date-time":"2025-10-28T10:27:28Z","timestamp":1761647248486,"version":"3.41.2"},"reference-count":12,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2004,1,1]],"date-time":"2004-01-01T00:00:00Z","timestamp":1072915200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2004,1,1]],"date-time":"2004-01-01T00:00:00Z","timestamp":1072915200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Designs, Codes and Cryptography"],"published-print":{"date-parts":[[2004,1]]},"DOI":"10.1023\/a:1027382418978","type":"journal-article","created":{"date-parts":[[2003,11,9]],"date-time":"2003-11-09T17:46:39Z","timestamp":1068399999000},"page":"27-42","source":"Crossref","is-referenced-by-count":4,"title":["A Lower Bound on the Greedy Weights of Product Codes"],"prefix":"10.1007","volume":"31","author":[{"given":"Hans Georg","family":"Schaathun","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"5149263_CR1","doi-asserted-by":"crossref","unstructured":"W. Chen and T. Kl\u00f8ve, On the second greedy weight for binary linear codes, In M. Fossorier et al. (ed.), Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, Vol. 1719 of Springer Lecture Notes in Computer Science, Springer-Verlag (1999) pp. 131-141.","DOI":"10.1007\/3-540-46796-3_13"},{"issue":"1-3","key":"5149263_CR2","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1016\/S0012-365X(01)00116-9","volume":"241","author":"W. Chen","year":"2001","unstructured":"W. Chen and T. Kl\u00f8ve, On the second greedy weight for linear codes of dimension 3, Discrete Math., Vol. 241, No. 1-3 (2001) pp. 171-187.","journal-title":"Discrete Math."},{"issue":"1-3","key":"5149263_CR3","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1023\/A:1008329017752","volume":"18","author":"G. D. Cohen","year":"1999","unstructured":"G. D. Cohen, S. B. Encheva and G. Z\u00e9mor, Antichain codes, Designs, Codes, and Cryptography, Vol. 18, No. 1-3 (1999) pp. 71-80.","journal-title":"Designs, Codes, and Cryptography"},{"issue":"3","key":"5149263_CR4","doi-asserted-by":"crossref","first-page":"1133","DOI":"10.1109\/18.135655","volume":"38","author":"T. Helleseth","year":"1992","unstructured":"T. Helleseth, T. Kl\u00f8ve and \u00d8. Ytrehus, Generalized Hamming weights of linear codes, IEEE Trans. Inform. Theory, Vol. 38, No. 3 (1992) pp. 1133-1140.","journal-title":"IEEE Trans. Inform. Theory"},{"key":"5149263_CR5","unstructured":"C. Mart\u00ednez-P\u00e9rez and W. Willems, On the weight hierarchy of product codes, Preprint submitted to Designs, Codes, and Cryptography (2001)."},{"issue":"10","key":"5149263_CR6","doi-asserted-by":"crossref","first-page":"2135","DOI":"10.1002\/j.1538-7305.1984.tb00072.x","volume":"63","author":"L. H. Ozarow","year":"1984","unstructured":"L. H. Ozarow and A. D. Wyner, Wire-tap channel II, AT&T Bell Laboratories Technical Journal, Vol. 63, No. 10 (December 1984) pp. 2135-2157.","journal-title":"AT&T Bell Laboratories Technical Journal"},{"issue":"7","key":"5149263_CR7","doi-asserted-by":"crossref","first-page":"2648","DOI":"10.1109\/18.887876","volume":"46","author":"H. G. Schaathun","year":"2000","unstructured":"H. G. Schaathun, The weight hierarchy of product codes, IEEE Trans. Inform. Theory, Vol. 46, No. 7 (November 2000) pp. 2648-2651.","journal-title":"IEEE Trans. Inform. Theory"},{"key":"5149263_CR8","doi-asserted-by":"crossref","unstructured":"H. G. Schaathun, Duality and greedy weights for linear codes and projective multisets, In Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, Springer Lecture Notes in Computer Science, Vol. 2227 Springer-Verlag (2001).","DOI":"10.1007\/3-540-45624-4_10"},{"key":"5149263_CR9","unstructured":"H. G. Schaathun, Code constructions and higher weights, draft (2002)."},{"key":"5149263_CR10","doi-asserted-by":"crossref","first-page":"251","DOI":"10.1016\/S0166-218X(02)00449-3","volume":"128","author":"H. G. Schaathun","year":"2003","unstructured":"H. G. Schaathun and W. Willems, A lower bound for the weight hierarchies of product codes, Discrete Applied Mathematics, Vol. 128 (2003) pp. 251-261.","journal-title":"Discrete Applied Mathematics"},{"issue":"5","key":"5149263_CR11","doi-asserted-by":"crossref","first-page":"1412","DOI":"10.1109\/18.133259","volume":"37","author":"V. K. Wei","year":"1991","unstructured":"V. K. Wei, Generalized Hamming weights for linear codes, IEEE Trans. Inform. Theory, Vol. 37, No. 5 (1991) pp. 1412-1418.","journal-title":"IEEE Trans. Inform. Theory"},{"issue":"5","key":"5149263_CR12","doi-asserted-by":"crossref","first-page":"1709","DOI":"10.1109\/18.259662","volume":"39","author":"V. K. Wei","year":"1993","unstructured":"V. K. Wei and K. Yang, On the generalized Hamming weights of product codes, IEEE Trans. Inform. Theory, Vol. 39, No. 5 (1993) pp. 1709-1713.","journal-title":"IEEE Trans. Inform. Theory"}],"container-title":["Designs, Codes and Cryptography"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1027382418978.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1027382418978\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1027382418978.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,29]],"date-time":"2025-07-29T02:42:08Z","timestamp":1753756928000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1027382418978"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,1]]},"references-count":12,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2004,1]]}},"alternative-id":["5149263"],"URL":"https:\/\/doi.org\/10.1023\/a:1027382418978","relation":{},"ISSN":["0925-1022","1573-7586"],"issn-type":[{"type":"print","value":"0925-1022"},{"type":"electronic","value":"1573-7586"}],"subject":[],"published":{"date-parts":[[2004,1]]}}}