{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T14:06:44Z","timestamp":1775052404426,"version":"3.50.1"},"reference-count":20,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[1991,11,1]],"date-time":"1991-11-01T00:00:00Z","timestamp":688953600000},"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":7929,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Mathematics"],"published-print":{"date-parts":[[1991,11]]},"DOI":"10.1016\/0012-365x(91)90214-m","type":"journal-article","created":{"date-parts":[[2002,7,26]],"date-time":"2002-07-26T03:43:43Z","timestamp":1027655023000},"page":"19-33","source":"Crossref","is-referenced-by-count":10,"title":["A characterization of {2v\u03b1+1 + 2v\u03b2+1, 2v\u03b1 + 2v\u03b2; t, q}- minihypers in PG(t, q) (t \u2a7e 2, q \u2a7e 5 and 0 \u2a7d \u03b1 &lt; \u03b2 &lt; t) and its applications to error-correcting codes"],"prefix":"10.1016","volume":"93","author":[{"given":"Noboru","family":"Hamada","sequence":"first","affiliation":[]},{"given":"Michel","family":"Deza","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/0012-365X(91)90214-M_BIB1","series-title":"Proc. Conf. Finite Geometries","article-title":"Arcs and multiple blocking sets","author":"Bruen","year":"1983"},{"key":"10.1016\/0012-365X(91)90214-M_BIB2","doi-asserted-by":"crossref","first-page":"532","DOI":"10.1147\/rd.45.0532","article-title":"A bound for error-correcting codes","volume":"4","author":"Griesmer","year":"1960","journal-title":"IBM J. Res. Develop."},{"key":"10.1016\/0012-365X(91)90214-M_BIB3","first-page":"1","article-title":"Characterization resp. nonexistence of certain q-ary linear codes attaining the Griesmer bound","volume":"22","author":"Hamada","year":"1985","journal-title":"Bull. Osaka Women's Univ."},{"key":"10.1016\/0012-365X(91)90214-M_BIB4","first-page":"1","article-title":"Characterization of minihypers in a finite projective geometry and its applications to error-correcting codes","volume":"24","author":"Hamada","year":"1987","journal-title":"Bull. Osaka Women's Univ."},{"key":"10.1016\/0012-365X(91)90214-M_BIB5","first-page":"25","article-title":"Characterization of {12, 2; 2, 4}-minihypers in a finite projective geometry PG(2, 4)","volume":"24","author":"Hamada","year":"1987","journal-title":"Bull. Osaka Women's Univ."},{"key":"10.1016\/0012-365X(91)90214-M_BIB6","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1007\/BF01788659","article-title":"Characterization of {(q + 1) + 2, 1; t, q}-minihypers and {2(q + 1) + 2, 2; 2, q}-minihypers in a finite projective geometry","volume":"5","author":"Hamada","year":"1989","journal-title":"Graphs Combin."},{"key":"10.1016\/0012-365X(91)90214-M_BIB7","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1007\/BF01788665","article-title":"Characterization of {v\u03bc+1 + 2v\u03bc, v\u03bc + 2v\u03bc\u22121; t, q}-minihypers and its application to error-correcting codes","volume":"5","author":"Hamada","year":"1989","journal-title":"Graphs Combin."},{"key":"10.1016\/0012-365X(91)90214-M_BIB8","unstructured":"N. Hamada, A characterization of some (n, k, d; q)-codes meeting the Griesmer bound using a minihyper in a finite projective geometry, Discrete Math., to appear, also in Chapter 4 of Combinatorial Aspect of Design Experiments."},{"key":"10.1016\/0012-365X(91)90214-M_BIB9","doi-asserted-by":"crossref","first-page":"219","DOI":"10.1016\/0012-365X(88)90102-1","article-title":"Characterization of {2(q + 1) + 2, 2; t, q}-minihypers in PG(t, q) (t \u2a7e 3, q \u2a7e 5) and its applications to error-correcting codes","volume":"71","author":"Hamada","year":"1988","journal-title":"Discrete Math."},{"key":"10.1016\/0012-365X(91)90214-M_BIB10","series-title":"First Sino-Franco Conf. on Combinatorics, Algorithms, and Coding Theory","first-page":"321","article-title":"Characterization of (n, k, d; q)-codes meeting the Griesmer bound for given integers k \u2a7e 3, q \u2a7e 5 and d = qk\u22121 \u2212 q\u03b1 \u2212 q\u03b2 \u2212 q\u03b3 (0 \u2a7d \u03b1 \u2a7d \u03b2 < \u03b3 < k \u2212 1 or 0 \u2a7d \u03b1 < \u03b2 \u2a7d \u03b3 < k \u2212 1)","volume":"16","author":"Hamada","year":"1988"},{"key":"10.1016\/0012-365X(91)90214-M_BIB11","doi-asserted-by":"crossref","first-page":"323","DOI":"10.1016\/0378-3758(89)90098-0","article-title":"A characterization of {v\u03bc+1 + \u03f5, v\u03bc; t, q}-minihypers and its applications to error-correcting codes and factorial designs","volume":"22","author":"Hamada","year":"1989","journal-title":"J. Statist. Plann. Inference"},{"key":"10.1016\/0012-365X(91)90214-M_BIB12","doi-asserted-by":"crossref","first-page":"14","DOI":"10.1016\/0097-3165(78)90027-4","article-title":"On a geometrical method of construction of maximal t-linearly independent sets","volume":"25","author":"Hamada","year":"1978","journal-title":"J. Combin. Theory Ser. A"},{"key":"10.1016\/0012-365X(91)90214-M_BIB13","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1016\/S0167-5060(08)70702-7","article-title":"Construction of optimal codes and optimal fractional factorial designs using linear programming","volume":"6","author":"Hamada","year":"1980","journal-title":"Ann. Discrete Math."},{"key":"10.1016\/0012-365X(91)90214-M_BIB14","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1016\/S0195-6698(82)80026-7","article-title":"Construction of optimal linear codes using flats and spreads in a finite projective geometry","volume":"3","author":"Hamada","year":"1982","journal-title":"European J. Combin."},{"key":"10.1016\/0012-365X(91)90214-M_BIB15","doi-asserted-by":"crossref","first-page":"128","DOI":"10.1016\/S0019-9958(81)90184-4","article-title":"A characterization of codes meeting the Griesmer bound","volume":"50","author":"Helleseth","year":"1981","journal-title":"Inform. and Control"},{"key":"10.1016\/0012-365X(91)90214-M_BIB16","article-title":"The Theory of Error-correcting Codes","volume":"Vol. 16","author":"MacWilliams","year":"1977"},{"key":"10.1016\/0012-365X(91)90214-M_BIB17","first-page":"59","article-title":"On 2-blocking sets in projective planes","volume":"20-B","author":"de Resmini","year":"1985","journal-title":"Ars Combin."},{"key":"10.1016\/0012-365X(91)90214-M_BIB18","doi-asserted-by":"crossref","first-page":"170","DOI":"10.1016\/S0019-9958(65)90080-X","article-title":"Algebraically punctured cyclic codes","volume":"8","author":"Solomon","year":"1965","journal-title":"Inform. and Control"},{"key":"10.1016\/0012-365X(91)90214-M_BIB19","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1016\/0012-365X(84)90116-X","article-title":"On linear codes which attain the Solomon-Stiffler bound","volume":"49","author":"Tamari","year":"1984","journal-title":"Discrete Math."},{"key":"10.1016\/0012-365X(91)90214-M_BIB20","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1016\/S0019-9958(80)90115-1","article-title":"On the uniqueness resp. nonexistence of certain codes meeting the Griesmer bound","volume":"44","author":"van Tilborg","year":"1980","journal-title":"Inform. and Control"}],"container-title":["Discrete Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0012365X9190214M?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0012365X9190214M?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,13]],"date-time":"2019-04-13T06:22:15Z","timestamp":1555136535000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0012365X9190214M"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1991,11]]},"references-count":20,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1991,11]]}},"alternative-id":["0012365X9190214M"],"URL":"https:\/\/doi.org\/10.1016\/0012-365x(91)90214-m","relation":{},"ISSN":["0012-365X"],"issn-type":[{"value":"0012-365X","type":"print"}],"subject":[],"published":{"date-parts":[[1991,11]]}}}