{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,5,17]],"date-time":"2022-05-17T12:40:17Z","timestamp":1652791217146},"reference-count":19,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2020,6,27]],"date-time":"2020-06-27T00:00:00Z","timestamp":1593216000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,6,27]],"date-time":"2020-06-27T00:00:00Z","timestamp":1593216000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["AAECC"],"published-print":{"date-parts":[[2022,6]]},"DOI":"10.1007\/s00200-020-00443-x","type":"journal-article","created":{"date-parts":[[2020,6,27]],"date-time":"2020-06-27T10:03:11Z","timestamp":1593252191000},"page":"213-236","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Quantum BCH codes with maximum designed distance"],"prefix":"10.1007","volume":"33","author":[{"given":"Xinmei","family":"Huang","sequence":"first","affiliation":[]},{"given":"Qin","family":"Yue","sequence":"additional","affiliation":[]},{"given":"Xiaoping","family":"Shi","sequence":"additional","affiliation":[]},{"given":"Yiwei","family":"Huang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,6,27]]},"reference":[{"issue":"3","key":"443_CR1","doi-asserted-by":"publisher","first-page":"1183","DOI":"10.1109\/TIT.2006.890730","volume":"53","author":"SA Aly","year":"2007","unstructured":"Aly, S.A., Klappenecker, A., Sarvepalli, P.K.: On quantum and classical BCH codes. IEEE Trans. Inf. Theory 53(3), 1183\u20131188 (2007)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"1","key":"443_CR2","doi-asserted-by":"publisher","first-page":"68","DOI":"10.1016\/S0019-9958(60)90287-4","volume":"3","author":"R Bose","year":"1960","unstructured":"Bose, R., Ray-Chaudhuri, D.: On a class of error correcting binary group codes. Inf. Control 3(1), 68\u201379 (1960)","journal-title":"Inf. Control"},{"issue":"3","key":"443_CR3","doi-asserted-by":"publisher","first-page":"1474","DOI":"10.1109\/TIT.2015.2388576","volume":"61","author":"B Chen","year":"2015","unstructured":"Chen, B., Ling, S., Zhang, G.: Application of constacyclic codes to quantum MDS codes. IEEE Trans. Inf. Theory 61(3), 1474\u20131484 (2015)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"10","key":"443_CR4","doi-asserted-by":"publisher","first-page":"5322","DOI":"10.1109\/TIT.2015.2470251","volume":"61","author":"C Ding","year":"2015","unstructured":"Ding, C.: Parameters of several classes of BCH codes. IEEE Trans. Inf. Theory 61(10), 5322\u20135330 (2015)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"5","key":"443_CR5","doi-asserted-by":"publisher","first-page":"2351","DOI":"10.1109\/TIT.2015.2409838","volume":"61","author":"C Ding","year":"2015","unstructured":"Ding, C., Du, X., Zhou, Z.: The Bose and minimum distance of a class of BCH codes. IEEE Trans. Inf. Theory 61(5), 2351\u20132356 (2015)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"443_CR6","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1016\/j.ffa.2016.12.009","volume":"45","author":"C Ding","year":"2017","unstructured":"Ding, C., Fan, C., Zhou, Z.: The dimension and minimum distance of two classes of primitive BCH codes. Finite Fields Appl. 45, 237\u2013263 (2017)","journal-title":"Finite Fields Appl."},{"key":"443_CR7","first-page":"207","volume":"9","author":"DC Gorenstein","year":"1961","unstructured":"Gorenstein, D.C., Zierler, N.: A class of error-correcting codes in $$p^m$$ symbols. J. SIAM 9, 207\u2013214 (1961)","journal-title":"J. SIAM"},{"key":"443_CR8","unstructured":"Gottesman, D.: Stabilizer codes and quantum error correction. Ph.D. thesis California Institute of Technology (1997)"},{"key":"443_CR9","first-page":"147","volume":"2","author":"A Hocquenghem","year":"1959","unstructured":"Hocquenghem, A.: Codes correcteurs derreurs. Chiffres (Paris) 2, 147\u2013156 (1959)","journal-title":"Chiffres (Paris)"},{"issue":"12","key":"443_CR10","doi-asserted-by":"publisher","first-page":"323","DOI":"10.1007\/s11128-018-2049-9","volume":"17","author":"L Hu","year":"2018","unstructured":"Hu, L., Yue, Q., He, X.: Quantum MDS codes from BCH constacyclic codes. Quantum Inf. Process. 17(12), 323 (2018)","journal-title":"Quantum Inf. Process."},{"issue":"4","key":"443_CR11","doi-asserted-by":"publisher","first-page":"2080","DOI":"10.1109\/TIT.2014.2308180","volume":"60","author":"X Kai","year":"2014","unstructured":"Kai, X., Zhu, S., Li, P.: Constacyclic codes and some new quantum MDS codes. IEEE Trans. Inf. Theory 60(4), 2080\u20132086 (2014)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"2","key":"443_CR12","doi-asserted-by":"publisher","first-page":"900","DOI":"10.1103\/PhysRevA.55.900","volume":"55","author":"E Knill","year":"1996","unstructured":"Knill, E., Laflamme, R.: A theory of quantum error-correcting codes. Phys. Rev. A 55(2), 900\u2013911 (1996)","journal-title":"Phys. Rev. A"},{"issue":"8","key":"443_CR13","doi-asserted-by":"publisher","first-page":"1910","DOI":"10.1016\/j.disc.2017.04.001","volume":"340","author":"H Liu","year":"2017","unstructured":"Liu, H., Ding, C., Li, C.: Dimensions of three types of BCH codes over GF(q). Discrete Math. 340(8), 1910\u20131927 (2017)","journal-title":"Discrete Math."},{"key":"443_CR14","doi-asserted-by":"publisher","first-page":"347","DOI":"10.1016\/j.ffa.2017.04.002","volume":"46","author":"X Shi","year":"2017","unstructured":"Shi, X., Yue, Q., Zhu, X.: Construction of some new quantum MDS codes. Finite Fields Appl. 46, 347\u2013362 (2017)","journal-title":"Finite Fields Appl."},{"issue":"9","key":"443_CR15","doi-asserted-by":"publisher","first-page":"2165","DOI":"10.1007\/s10623-019-00610-3","volume":"87","author":"X Shi","year":"2019","unstructured":"Shi, X., Yue, Q., Wu, Y.: The dual containing primitive BCH codes with maximum designed distance and their applications to quantum codes. Des. Codes Cryptogr. 87(9), 2165\u20132183 (2019)","journal-title":"Des. Codes Cryptogr."},{"issue":"7","key":"443_CR16","doi-asserted-by":"publisher","first-page":"2492","DOI":"10.1109\/18.796388","volume":"45","author":"AM Steane","year":"1999","unstructured":"Steane, A.M.: Enlargement of Calderbank\u2013Shor\u2013Steane quantum codes. IEEE. Trans. Inf. Theory 45(7), 2492\u20132495 (1999)","journal-title":"IEEE. Trans. Inf. Theory"},{"issue":"1","key":"443_CR17","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s00200-017-0320-4","volume":"29","author":"H Yan","year":"2018","unstructured":"Yan, H.: A class of primitive BCH codes and their weight distribution. Appl. Algebra Eng. Commun. Comput. 29(1), 1\u201311 (2018)","journal-title":"Appl. Algebra Eng. Commun. Comput."},{"issue":"3","key":"443_CR18","doi-asserted-by":"publisher","first-page":"503","DOI":"10.1007\/s10623-016-0245-0","volume":"83","author":"T Zhang","year":"2016","unstructured":"Zhang, T., Ge, G.: Quantum MDS codes with large minimun distance. Des. Codes Cryptogr. 83(3), 503\u2013517 (2016)","journal-title":"Des. Codes Cryptogr."},{"issue":"4","key":"443_CR19","doi-asserted-by":"publisher","first-page":"5551","DOI":"10.1142\/S0219749914500191","volume":"12","author":"G Zhang","year":"2014","unstructured":"Zhang, G., Chen, B.: New quantum MDS codes. Int. J. Quantum Inf. 12(4), 5551\u20135554 (2014)","journal-title":"Int. J. Quantum Inf."}],"container-title":["Applicable Algebra in Engineering, Communication and Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00200-020-00443-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00200-020-00443-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00200-020-00443-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,5,17]],"date-time":"2022-05-17T12:17:37Z","timestamp":1652789857000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00200-020-00443-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,6,27]]},"references-count":19,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2022,6]]}},"alternative-id":["443"],"URL":"https:\/\/doi.org\/10.1007\/s00200-020-00443-x","relation":{},"ISSN":["0938-1279","1432-0622"],"issn-type":[{"value":"0938-1279","type":"print"},{"value":"1432-0622","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,6,27]]},"assertion":[{"value":"9 September 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 June 2020","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 June 2020","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}