{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T14:43:17Z","timestamp":1648996997961},"reference-count":29,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2015,1,15]],"date-time":"2015-01-15T00:00:00Z","timestamp":1421280000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Des. Codes Cryptogr."],"published-print":{"date-parts":[[2016,4]]},"DOI":"10.1007\/s10623-015-0034-1","type":"journal-article","created":{"date-parts":[[2015,1,14]],"date-time":"2015-01-14T06:59:52Z","timestamp":1421218792000},"page":"47-61","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["The homogeneous weight partition and its character-theoretic dual"],"prefix":"10.1007","volume":"79","author":[{"given":"Heide","family":"Gluesing-Luerssen","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2015,1,15]]},"reference":[{"key":"34_CR1","doi-asserted-by":"crossref","unstructured":"Barra A., Gluesing-Luerssen H.: MacWilliams extension theorems and the local-global property for codes over Frobenius rings. J. Pure Appl. Algebra 219, 703\u2013728 (2015).","DOI":"10.1016\/j.jpaa.2014.04.026"},{"key":"34_CR2","doi-asserted-by":"crossref","unstructured":"Byrne E.: On the weight distribution of codes over finite rings. Adv. Math. Commun. 5, 395\u2013406 (2011).","DOI":"10.3934\/amc.2011.5.395"},{"key":"34_CR3","doi-asserted-by":"crossref","unstructured":"Byrne E., Greferath M., O\u2019Sullivan M.E.: The linear programming bound for codes over finite Frobenius rings. Des. Codes Cryptogr. 42, 289\u2013301 (2007).","DOI":"10.1007\/s10623-006-9035-4"},{"key":"34_CR4","doi-asserted-by":"crossref","unstructured":"Byrne E., Kiermaier M., Sneyd A.: Properties of codes with two homogeneous weights. Finite Fields Appl. 18, 711\u2013727 (2012).","DOI":"10.1016\/j.ffa.2012.01.002"},{"key":"34_CR5","unstructured":"Camion P.: Codes and association schemes. In: Pless V.S., Huffman W.C. (eds.) Handbook of Coding Theory, vol. II, pp. 1441\u20131566. Elsevier, Amsterdam (1998)."},{"key":"34_CR6","doi-asserted-by":"crossref","unstructured":"Claasen H.L., Goldbach R.W.: A field-like property of finite rings. Indag. Math. 3, 11\u201326 (1992).","DOI":"10.1016\/0019-3577(92)90024-F"},{"key":"34_CR7","unstructured":"Constantinescu I., Heise W.: A metric for codes over residue class rings. Probl. Inf. Transm. 33, 208\u2013213 (1997)."},{"key":"34_CR8","unstructured":"Delsarte P.: An algebraic approach to the association schemes of coding theory. Philips Res. Repts. Suppl. 10 (1973)."},{"key":"34_CR9","doi-asserted-by":"crossref","unstructured":"Delsarte P.: Bilinear forms over a finite field, with applications to coding theory. J. Comb. Theory Ser. A 25, 226\u2013241 (1978).","DOI":"10.1016\/0097-3165(78)90015-8"},{"key":"34_CR10","doi-asserted-by":"crossref","unstructured":"Gluesing-Luerssen H.: Fourier-reflexive partitions and MacWilliams identities for additive codes. Des. Codes Cryptogr. (2014) arXiv: 1304.1207 . doi: 10.1007\/s10623-014-9940-x .","DOI":"10.1007\/s10623-014-9940-x"},{"key":"34_CR11","unstructured":"Gluesing-Luerssen H.: The homogeneous weight partition and its character-theoretic dual. Preprint 2014. arXiv: 1403.4452 ."},{"key":"34_CR12","doi-asserted-by":"crossref","unstructured":"Gluesing-Luerssen H.: Partitions of Frobenius rings induced by the homogeneous weight. Adv. Math. Commun. 8, 191\u2013207 (2014).","DOI":"10.3934\/amc.2014.8.191"},{"key":"34_CR13","unstructured":"Godsil C.D.: Algebraic Combinatorics. Chapman and Hall, New York (1993)."},{"key":"34_CR14","doi-asserted-by":"crossref","unstructured":"Greferath M., Schmidt S.E.: Finite ring combinatorics and MacWilliams\u2019 Equivalence Theorem. J. Comb. Theory Ser. A 92, 17\u201328 (2000).","DOI":"10.1006\/jcta.1999.3033"},{"key":"34_CR15","doi-asserted-by":"crossref","unstructured":"Greferath M., Nechaev A., Wisbauer R.: Finite quasi-Frobenius modules and linear codes. J. Algebra Appl. 3, 247\u2013272 (2004).","DOI":"10.1142\/S0219498804000873"},{"key":"34_CR16","doi-asserted-by":"crossref","unstructured":"Hirano Y.: On admissible rings. Indag. Math. 8, 55\u201359 (1997).","DOI":"10.1016\/S0019-3577(97)83350-2"},{"key":"34_CR17","doi-asserted-by":"crossref","unstructured":"Honold T.: Characterization of finite Frobenius rings. Arch. Math. 76, 406\u2013415 (2001).","DOI":"10.1007\/PL00000451"},{"key":"34_CR18","unstructured":"Honold T.: Two-intersection sets in projective Hjelmslev spaces. In: Proceedings of the 19th International Symposium on the Mathematical Theory of Networks and Systems. Budapest, Hungary, pp. 1807\u20131813 (2010)."},{"key":"34_CR19","doi-asserted-by":"crossref","unstructured":"Honold T., Landjev I.: MacWilliams identities for linear codes over finite Frobenius rings. In: Jungnickel, D., Niederreiter, H. (eds.) Proceedings of the 5th International Conference on Finite Fields and Applications Fq5 (Augsburg, 1999), pp. 276\u2013292. Springer, Berlin (2001).","DOI":"10.1007\/978-3-642-56755-1_21"},{"key":"34_CR20","unstructured":"Honold T., Nechaev A.A.: Weighted modules and linear representations of codes. Probl. Inf. Transm. 35, 205\u2013223 (1999)."},{"key":"34_CR21","doi-asserted-by":"crossref","unstructured":"Lam T.Y.: A First Course in Noncommutative Rings. Graduate Text in Mathematics, vol. 131. Springer, New York (1991).","DOI":"10.1007\/978-1-4684-0406-7"},{"key":"34_CR22","doi-asserted-by":"crossref","unstructured":"Lam T.Y.: Lectures on Modules and Rings. Graduate Text in Mathematics, vol. 189. Springer, New York (1999).","DOI":"10.1007\/978-1-4612-0525-8"},{"key":"34_CR23","doi-asserted-by":"crossref","unstructured":"Lambek J.: On the representation of modules by sheaves of factor modules. Can. Math. Bull. 14, 359\u2013368 (1971).","DOI":"10.4153\/CMB-1971-065-1"},{"key":"34_CR24","doi-asserted-by":"crossref","unstructured":"Lamprecht E.: \u00dcber I-regul\u00e4re Ringe, regul\u00e4re Ideale und Erkl\u00e4rungsmoduln. I. Math. Nachr. 10, 353\u2013382 (1953).","DOI":"10.1002\/mana.19530100506"},{"key":"34_CR25","unstructured":"Nechaev A.A.: Finite quasi-Frobenius bimodules. Lecture at the CIMPA Summer School, Ankara, Turkey, August 2008. http:\/\/www.cimpa-icpam.org\/anciensite\/NotesCours\/PDF\/2008\/Nechaev2.pdf . Accessed 2 Jan 2015."},{"key":"34_CR26","doi-asserted-by":"crossref","unstructured":"Wood J.A.: Duality for modules over finite rings and applications to coding theory. Am. J. Math. 121, 555\u2013575 (1999).","DOI":"10.1353\/ajm.1999.0024"},{"key":"34_CR27","doi-asserted-by":"crossref","unstructured":"Yang S., Honold T.: Good random matrices over finite fields. Adv. Math. Commun. 6, 203\u2013227 (2012).","DOI":"10.3934\/amc.2012.6.203"},{"key":"34_CR28","unstructured":"Zinoviev V.A., Ericson T.: On Fourier invariant partitions of finite abelian groups and the MacWilliams identity for group codes. Probl. Inf. Transm. 32, 117\u2013122 (1996)."},{"key":"34_CR29","doi-asserted-by":"crossref","unstructured":"Zinoviev V.A., Ericson T.: Fourier invariant pairs of partitions of finite abelian groups and association schemes. Probl. Inf. Transm. 45, 221\u2013231 (2009).","DOI":"10.1134\/S003294600903003X"}],"container-title":["Designs, Codes and Cryptography"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10623-015-0034-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10623-015-0034-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10623-015-0034-1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,30]],"date-time":"2019-05-30T15:58:39Z","timestamp":1559231919000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10623-015-0034-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,1,15]]},"references-count":29,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2016,4]]}},"alternative-id":["34"],"URL":"https:\/\/doi.org\/10.1007\/s10623-015-0034-1","relation":{},"ISSN":["0925-1022","1573-7586"],"issn-type":[{"value":"0925-1022","type":"print"},{"value":"1573-7586","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,1,15]]}}}