{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,21]],"date-time":"2026-02-21T18:57:08Z","timestamp":1771700228974,"version":"3.50.1"},"reference-count":28,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2014,7,26]],"date-time":"2014-07-26T00:00:00Z","timestamp":1406332800000},"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":[[2015,10]]},"DOI":"10.1007\/s10623-014-9997-6","type":"journal-article","created":{"date-parts":[[2014,7,25]],"date-time":"2014-07-25T03:48:41Z","timestamp":1406260121000},"page":"193-202","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":51,"title":["Entanglement-assisted quantum codes from arbitrary binary linear codes"],"prefix":"10.1007","volume":"77","author":[{"given":"Jianfa","family":"Qian","sequence":"first","affiliation":[]},{"given":"Lina","family":"Zhang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2014,7,26]]},"reference":[{"key":"9997_CR1","doi-asserted-by":"crossref","unstructured":"Ashikhmin A., Litsyn S., Tsfasman M.A.: Asymptotically good quantum codes. Phys. Rev. A 63, 032311 (2001).","DOI":"10.1103\/PhysRevA.63.032311"},{"key":"9997_CR2","doi-asserted-by":"crossref","unstructured":"Bierbrauer J., Edel Y.: Quantum twisted codes. J. Comb. Des. 8, 174\u2013188 (2000).","DOI":"10.1002\/(SICI)1520-6610(2000)8:3<174::AID-JCD3>3.0.CO;2-T"},{"key":"9997_CR3","doi-asserted-by":"crossref","unstructured":"Bowen G.: Entanglement required in achieving entanglement-assisted channel capacities. Phys. Rev. A 66, 052313 (2002).","DOI":"10.1103\/PhysRevA.66.052313"},{"key":"9997_CR4","doi-asserted-by":"crossref","unstructured":"Brun T.A., Devetak I., Hsieh M.H.: Correcting quantum errors with entanglement. Science 314, 436\u2013439 (2006).","DOI":"10.1126\/science.1131563"},{"key":"9997_CR5","doi-asserted-by":"crossref","unstructured":"Calderbank A.R., Rains E.M., Shor P.W., Sloane N.J.A.: Quantum error correction via codes over GF(4). IEEE Trans. Inf. Theory 44, 1369\u20131387 (1998).","DOI":"10.1109\/18.681315"},{"key":"9997_CR6","doi-asserted-by":"crossref","unstructured":"Chen H.: Some good quantum error-correcting codes from algebraic-geometric codes. IEEE Trans. Inf. Theory 47, 2059\u20132061 (2001).","DOI":"10.1109\/18.930942"},{"key":"9997_CR7","doi-asserted-by":"crossref","unstructured":"Chen G., Li R.: Ternary self-orthogonal codes of dual distance three and ternary quantum codes of distance three. Des. Codes Cryptogr. 69, 53\u201363 (2013).","DOI":"10.1007\/s10623-012-9620-7"},{"key":"9997_CR8","doi-asserted-by":"crossref","unstructured":"Fujiwara Y., Clark D., Vandendriessche P., Boeck M.D., Tonchev V.D.: Entanglement-assisted quantum low-density parity-check codes. Phys. Rev. A 82, 042338 (2010).","DOI":"10.1103\/PhysRevA.82.042338"},{"key":"9997_CR9","unstructured":"Grassl M.: Bounds on the minimum distance of linear codes and quantum codes. http:\/\/www.codetables.de (2012). Accessed 22 July 2014."},{"key":"9997_CR10","unstructured":"Grassl M., Geiselmann W., Beth T.: Quantum Reed\u2013Solomon codes. In: Lecture Notes in Computer Science, vol. 1719, pp. 231\u2013244. Springer, Heidelberg (1996)."},{"key":"9997_CR11","doi-asserted-by":"crossref","unstructured":"Guo L., Li R.: Linear plotkin bound for entanglement-assisted quantum codes. Phys. Rev. A 87, 032309 (2013).","DOI":"10.1103\/PhysRevA.87.032309"},{"key":"9997_CR12","doi-asserted-by":"crossref","unstructured":"Hsieh M.H., Brun T.A., Devetak I.: Entanglement-assisted quantum quasi-cyclic low-density parity-check codes. Phys. Rev. A 79, 032340 (2009).","DOI":"10.1103\/PhysRevA.79.032340"},{"key":"9997_CR13","doi-asserted-by":"crossref","unstructured":"Hsieh M.H., Devetak I., Brun T.A.: General entanglement-assisted quantum error-correcting codes. Phys. Rev. A 76, 062313 (2007).","DOI":"10.1103\/PhysRevA.76.062313"},{"key":"9997_CR14","doi-asserted-by":"crossref","unstructured":"Hsieh M.H., Yen W.T., Hsu L.Y.: High performance entanglement-assisted quantum LDPC codes need little entanglement. IEEE Trans. Inf. Theory 57, 1761\u20131769 (2011).","DOI":"10.1109\/TIT.2011.2104590"},{"key":"9997_CR15","doi-asserted-by":"crossref","unstructured":"Huffman W.C., Pless V.: Fundamentals of Error-Correcting Codes. Cambridge University Press, Cambridge (2003).","DOI":"10.1017\/CBO9780511807077"},{"key":"9997_CR16","doi-asserted-by":"crossref","unstructured":"Ketkar A., Klappenecker A., Kumar S., Sarvepalli P.K.: Nonbinary quantum stabiliter codes over finite fields. IEEE Trans. Inf. Theory 52, 4892\u20134914 (2006).","DOI":"10.1109\/TIT.2006.883612"},{"key":"9997_CR17","doi-asserted-by":"crossref","unstructured":"Lai C.Y., Brun T.A.: Entanglement-assisted quantum error-correcting codes with imperfect ebits. Phys. Rev. A 86, 032319 (2012).","DOI":"10.1103\/PhysRevA.86.032319"},{"key":"9997_CR18","doi-asserted-by":"crossref","unstructured":"Lai C.Y., Brun T.A.: Entanglement increases the error-correcting ability of quantum error-correcting codes. Phys. Rev. A 88, 012320 (2013).","DOI":"10.1103\/PhysRevA.88.012320"},{"key":"9997_CR19","doi-asserted-by":"crossref","unstructured":"Lai C.Y., Brun T.A., Wilde M.M.: Duality in entanglement-assisted quantum error correction. IEEE Trans. Inf. Theory 59, 4020\u20134024 (2013).","DOI":"10.1109\/TIT.2013.2246274"},{"key":"9997_CR20","doi-asserted-by":"crossref","unstructured":"Lai C.Y., Brun T.A., Wilde M.M.: Dualities and identities for entanglement-assisted quantum codes. Quantum Inf. Process. 13, 957\u2013990 (2014).","DOI":"10.1007\/s11128-013-0704-8"},{"key":"9997_CR21","unstructured":"MacWilliams F.J., Sloane N.J.A.: The Theory of Error Correcting Codes. North-Holland, Amsterdam (1977)."},{"key":"9997_CR22","doi-asserted-by":"crossref","unstructured":"Massey J.L.: Linear codes with complementary duals. Discret. Math. 106(107), 337\u2013342 (1992).","DOI":"10.1016\/0012-365X(92)90563-U"},{"key":"9997_CR23","doi-asserted-by":"crossref","unstructured":"Qian J., Zhang L.: Nonbinary quantum codes derived from group character codes. Int. J. Quantum Inf. 10, 1250042 (2012).","DOI":"10.1142\/S0219749912500426"},{"key":"9997_CR24","doi-asserted-by":"crossref","unstructured":"Qian J., Zhang L.: New optimal subsystem codes. Discret. Math. 313, 2451\u20132455 (2013).","DOI":"10.1016\/j.disc.2013.06.021"},{"key":"9997_CR25","doi-asserted-by":"crossref","unstructured":"Shin J., Heo J., Brun T.A.: Entanglement-assisted codeword stabilized quantum codes. Phys. Rev. A 84, 062321 (2011).","DOI":"10.1103\/PhysRevA.84.062321"},{"key":"9997_CR26","doi-asserted-by":"crossref","unstructured":"Shor P.W.: Scheme for reducing decoherence in quantum memory. Phys. Rev. A 52, 2493\u20132496 (1995).","DOI":"10.1103\/PhysRevA.52.R2493"},{"key":"9997_CR27","doi-asserted-by":"crossref","unstructured":"Stichtenoth H.: Transitive and self-dual codes attaining the Tsfasman\u2013Vladut\u2013Zink bound. IEEE Trans. Inf. Theory 52, 2218\u20132224 (2006).","DOI":"10.1109\/TIT.2006.872986"},{"key":"9997_CR28","doi-asserted-by":"crossref","unstructured":"Wilde M.M., Brun T.A.: Optimal entanglement formulas for entanglement-assisted quantum coding. Phys. Rev. A 77, 064302 (2008).","DOI":"10.1103\/PhysRevA.77.064302"}],"container-title":["Designs, Codes and Cryptography"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10623-014-9997-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10623-014-9997-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10623-014-9997-6","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\/s10623-014-9997-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,7,26]]},"references-count":28,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2015,10]]}},"alternative-id":["9997"],"URL":"https:\/\/doi.org\/10.1007\/s10623-014-9997-6","relation":{},"ISSN":["0925-1022","1573-7586"],"issn-type":[{"value":"0925-1022","type":"print"},{"value":"1573-7586","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,7,26]]}}}