{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,27]],"date-time":"2025-03-27T02:44:07Z","timestamp":1743043447129,"version":"3.40.3"},"publisher-location":"Singapore","reference-count":20,"publisher":"Springer Nature Singapore","isbn-type":[{"type":"print","value":"9789819610921"},{"type":"electronic","value":"9789819610938"}],"license":[{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2025]]},"DOI":"10.1007\/978-981-96-1093-8_29","type":"book-chapter","created":{"date-parts":[[2025,2,19]],"date-time":"2025-02-19T21:19:02Z","timestamp":1739999942000},"page":"343-354","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Construction of\u00a0Binary Cooperative MSR Codes with\u00a0Multiple Repair Degrees"],"prefix":"10.1007","author":[{"given":"Lei","family":"Li","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xinchun","family":"Yu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yaqian","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Liang","family":"Chen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuanyuan","family":"Dong","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chenhao","family":"Ying","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuan","family":"Luo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2025,2,20]]},"reference":[{"issue":"1","key":"29_CR1","doi-asserted-by":"publisher","first-page":"66","DOI":"10.1109\/18.179343","volume":"39","author":"M Blaum","year":"1993","unstructured":"Blaum, M., Roth, R.M.: New array codes for multiple phased burst correction. IEEE Trans. Inf. Theory 39(1), 66\u201377 (1993)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"29_CR2","doi-asserted-by":"crossref","unstructured":"Cadambe, V.R., Huang, C., Li, J.: Permutation code: optimal exact-repair of a single failed node in MDS code based distributed storage systems. In: 2011 IEEE International Symposium on Information Theory Proceedings (ISIT), pp. 1225\u20131229 (2011)","DOI":"10.1109\/ISIT.2011.6033730"},{"issue":"9","key":"29_CR3","doi-asserted-by":"publisher","first-page":"4539","DOI":"10.1109\/TIT.2010.2054295","volume":"56","author":"AG Dimakis","year":"2010","unstructured":"Dimakis, A.G., Godfrey, P.B., Wu, Y., Wainwright, M.J., Ramchandran, K.: Network coding for distributed storage systems. IEEE Trans. Inf. Theory 56(9), 4539\u20134551 (2010)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"10","key":"29_CR4","doi-asserted-by":"publisher","first-page":"6318","DOI":"10.1109\/TIT.2017.2690662","volume":"63","author":"S Goparaju","year":"2017","unstructured":"Goparaju, S., Fazeli, A., Vardy, A.: Minimum storage regenerating codes for all parameters. IEEE Trans. Inf. Theory 63(10), 6318\u20136328 (2017)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"3","key":"29_CR5","doi-asserted-by":"publisher","first-page":"1405","DOI":"10.1109\/TIT.2019.2939111","volume":"66","author":"H Hou","year":"2019","unstructured":"Hou, H., Lee, P.P.: Binary MDS array codes with optimal repair. IEEE Trans. Inf. Theory 66(3), 1405\u20131422 (2019)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"2","key":"29_CR6","doi-asserted-by":"publisher","first-page":"727","DOI":"10.1109\/TCOMM.2021.3126751","volume":"70","author":"J Li","year":"2021","unstructured":"Li, J., Tang, X., Hollanti, C.: A generic transformation for optimal node repair in MDS array codes over f2. IEEE Trans. Commun. 70(2), 727\u2013738 (2021)","journal-title":"IEEE Trans. Commun."},{"issue":"9","key":"29_CR7","doi-asserted-by":"publisher","first-page":"6257","DOI":"10.1109\/TIT.2018.2855059","volume":"64","author":"J Li","year":"2018","unstructured":"Li, J., Tang, X., Tian, C.: A generic transformation to enable optimal repair in MDS codes for distributed storage systems. IEEE Trans. Inf. Theory 64(9), 6257\u20136267 (2018)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"29_CR8","doi-asserted-by":"crossref","unstructured":"Li, L., Ying, C., Chen, L., Dong, Y., Luo, Y.: New constructions of binary MDS array codes with optimal repair bandwidth. In: 2023 IEEE International Symposium on Information Theory (ISIT), pp. 2045\u20132050 (2023)","DOI":"10.1109\/ISIT54713.2023.10206994"},{"key":"29_CR9","doi-asserted-by":"crossref","unstructured":"Li, L., Yu, X., Chen, L., Dong, Y., Luo, Y.: Constructions of binary MDS array codes with optimal repair\/access bandwidth. IEEE Trans. Commun. (2023)","DOI":"10.1109\/ISIT54713.2023.10206994"},{"issue":"5","key":"29_CR10","doi-asserted-by":"publisher","first-page":"3021","DOI":"10.1109\/TIT.2013.2241819","volume":"59","author":"DS Papailiopoulos","year":"2013","unstructured":"Papailiopoulos, D.S., Dimakis, A.G., Cadambe, V.R.: Repair optimal erasure codes through Hadamard designs. IEEE Trans. Inf. Theory 59(5), 3021\u20133037 (2013)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"2","key":"29_CR11","doi-asserted-by":"publisher","first-page":"300","DOI":"10.1137\/0108018","volume":"8","author":"IS Reed","year":"1960","unstructured":"Reed, I.S., Solomon, G.: Polynomial codes over certain finite fields. J. Soc. Ind. Appl. Math. 8(2), 300\u2013304 (1960)","journal-title":"J. Soc. Ind. Appl. Math."},{"key":"29_CR12","doi-asserted-by":"crossref","unstructured":"Suh, C., Ramchandran, K.: Exact-repair MDS codes for distributed storage using interference alignment. In: 2010 IEEE International Symposium on Information Theory (ISIT), pp. 161\u2013165 (2010)","DOI":"10.1109\/ISIT.2010.5513263"},{"issue":"3","key":"29_CR13","doi-asserted-by":"publisher","first-page":"1597","DOI":"10.1109\/TIT.2012.2227110","volume":"59","author":"I Tamo","year":"2012","unstructured":"Tamo, I., Wang, Z., Bruck, J.: Zigzag codes: MDS array codes with optimal rebuilding. IEEE Trans. Inf. Theory 59(3), 1597\u20131616 (2012)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"29_CR14","doi-asserted-by":"crossref","unstructured":"Vajha, M., Balaji, S., Kumar, P.V.: Small-$$d$$ MSR codes with optimal access, optimal sub-packetization and linear field size. IEEE Trans. Inf. Theory (2023)","DOI":"10.1109\/TIT.2023.3250458"},{"key":"29_CR15","unstructured":"Vajha, M., et\u00a0al.: Clay codes: moulding MDS codes to yield an MSR code. In: 16th USENIX Conference on File and Storage Technologies (FAST 18), pp. 139\u2013154 (2018)"},{"key":"29_CR16","unstructured":"Wang, N., Li, G., Hu, S., Ye, M.: Constructing MSR codes with subpacketization $$2n\/3$$ for $$k+ 1$$ helper nodes. IEEE Trans. Inf. Theory (2023)"},{"issue":"12","key":"29_CR17","doi-asserted-by":"publisher","first-page":"7457","DOI":"10.1109\/TIT.2020.3008342","volume":"66","author":"M Ye","year":"2020","unstructured":"Ye, M.: New constructions of cooperative MSR codes: reducing node size to exp $$(o (n))$$. IEEE Trans. Inf. Theory 66(12), 7457\u20137464 (2020)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"10","key":"29_CR18","doi-asserted-by":"publisher","first-page":"6307","DOI":"10.1109\/TIT.2017.2730863","volume":"63","author":"M Ye","year":"2017","unstructured":"Ye, M., Barg, A.: Explicit constructions of optimal-access MDS codes with nearly optimal sub-packetization. IEEE Trans. Inf. Theory 63(10), 6307\u20136317 (2017)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"3","key":"29_CR19","doi-asserted-by":"publisher","first-page":"1639","DOI":"10.1109\/TIT.2018.2856206","volume":"65","author":"M Ye","year":"2018","unstructured":"Ye, M., Barg, A.: Cooperative repair: constructions of optimal MDS codes for all admissible parameters. IEEE Trans. Inf. Theory 65(3), 1639\u20131656 (2018)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"29_CR20","unstructured":"Zhang, Y.: New centralized MSR codes with small sub-packetization. arXiv preprint arXiv:2401.16866 (2024)"}],"container-title":["Lecture Notes in Computer Science","Computing and Combinatorics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-981-96-1093-8_29","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,2,19]],"date-time":"2025-02-19T21:19:12Z","timestamp":1739999952000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-981-96-1093-8_29"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025]]},"ISBN":["9789819610921","9789819610938"],"references-count":20,"URL":"https:\/\/doi.org\/10.1007\/978-981-96-1093-8_29","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2025]]},"assertion":[{"value":"20 February 2025","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"The authors have no competing interests to declare that\u00a0are relevant to the content of this article.","order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Disclosure of Interests"}},{"value":"COCOON","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Computing and Combinatorics Conference","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Shanghai","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"China","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2024","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"23 August 2024","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"25 August 2024","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"30","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"cocoon2024","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/anl.sjtu.edu.cn\/cocoon2024\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}