{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,24]],"date-time":"2025-12-24T12:20:35Z","timestamp":1766578835375},"reference-count":29,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2023,11,20]],"date-time":"2023-11-20T00:00:00Z","timestamp":1700438400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,11,20]],"date-time":"2023-11-20T00:00:00Z","timestamp":1700438400000},"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":["Cryptogr. Commun."],"published-print":{"date-parts":[[2024,5]]},"DOI":"10.1007\/s12095-023-00684-w","type":"journal-article","created":{"date-parts":[[2023,11,20]],"date-time":"2023-11-20T09:02:31Z","timestamp":1700470951000},"page":"541-556","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["A new construction of almost-optimal multiple ZCZ sequence sets for multi-cell QS-CDMA system"],"prefix":"10.1007","volume":"16","author":[{"given":"Nishant","family":"Kumar","sequence":"first","affiliation":[]},{"given":"Sudhan","family":"Majhi","sequence":"additional","affiliation":[]},{"given":"Sushant K.","family":"Jha","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,11,20]]},"reference":[{"issue":"2","key":"684_CR1","doi-asserted-by":"publisher","first-page":"82","DOI":"10.1109\/TIT.1961.1057620","volume":"7","author":"M Golay","year":"1961","unstructured":"Golay, M.: Complementary series. IRE Trans. Inf. Theory. 7(2), 82\u201387 (1961). https:\/\/doi.org\/10.1109\/TIT.1961.1057620","journal-title":"IRE Trans. Inf. Theory."},{"issue":"1","key":"684_CR2","doi-asserted-by":"publisher","first-page":"669","DOI":"10.1109\/TIT.2019.2944185","volume":"66","author":"AR Adhikary","year":"2020","unstructured":"Adhikary, A.R., Majhi, S., Liu, Z., Guan, Y.L.: New sets of optimal odd-length binary Z-complementary pairs. IEEE Trans. Inf. Theory. 66(1), 669\u2013678 (2020). https:\/\/doi.org\/10.1109\/TIT.2019.2944185","journal-title":"IEEE Trans. Inf. Theory."},{"issue":"8","key":"684_CR3","doi-asserted-by":"publisher","first-page":"509","DOI":"10.1109\/LSP.2007.891834","volume":"14","author":"P Fan","year":"2007","unstructured":"Fan, P., Yuan, W., Tu, Y.: Z-complementary binary sequences. IEEE Signal Process. Lett. 14(8), 509\u2013512 (2007). https:\/\/doi.org\/10.1109\/LSP.2007.891834","journal-title":"IEEE Signal Process. Lett."},{"key":"684_CR4","doi-asserted-by":"publisher","first-page":"146","DOI":"10.1109\/LSP.2019.2961210","volume":"27","author":"AR Adhikary","year":"2020","unstructured":"Adhikary, A.R., Sarkar, P., Majhi, S.: A direct construction of $$q$$-ary even length Z-complementary pairs using generalized Boolean functions. IEEE Signal Process. Lett. 27, 146\u2013150 (2020). https:\/\/doi.org\/10.1109\/LSP.2019.2961210","journal-title":"IEEE Signal Process. Lett."},{"issue":"7","key":"684_CR5","doi-asserted-by":"publisher","first-page":"970","DOI":"10.1109\/LSP.2018.2834143","volume":"25","author":"AR Adhikary","year":"2018","unstructured":"Adhikary, A.R., Majhi, S., Liu, Z., Guan, Y.L.: New sets of even-length binary Z-complementary pairs with asymptotic ZCZ ratio of $$3\/4$$. IEEE Signal Process. Lett. 25(7), 970\u2013973 (2018). https:\/\/doi.org\/10.1109\/LSP.2018.2834143","journal-title":"IEEE Signal Process. Lett."},{"key":"684_CR6","doi-asserted-by":"crossref","unstructured":"Gu, Z., Yang, Y., Zhou, Z.: New sets of even-length binary z-complementary pairs. In: 2019 Ninth International Workshop on Signal Design and its Applications in Communications (IWSDA), pp. 1\u20135 (2019). IEEE","DOI":"10.1109\/IWSDA46143.2019.8966113"},{"issue":"12","key":"684_CR7","doi-asserted-by":"publisher","first-page":"1931","DOI":"10.1109\/LSP.2019.2954805","volume":"26","author":"B Shen","year":"2019","unstructured":"Shen, B., Yang, Y., Zhou, Z., Fan, P., Guan, Y.: New optimal binary z-complementary pairs of odd length $$2^ m+ 3$$. IEEE Signal Process. Lett. 26(12), 1931\u20131934 (2019)","journal-title":"IEEE Signal Process. Lett."},{"key":"684_CR8","doi-asserted-by":"publisher","first-page":"377","DOI":"10.1109\/LSP.2008.919997","volume":"15","author":"L Feng","year":"2008","unstructured":"Feng, L., Fan, P., Tang, X., Loo, K.-K.: Generalized pairwise Z-complementary codes. IEEE Signal Process. Lett. 15, 377\u2013380 (2008). https:\/\/doi.org\/10.1109\/LSP.2008.919997","journal-title":"IEEE Signal Process. Lett."},{"issue":"8","key":"684_CR9","doi-asserted-by":"publisher","first-page":"1607","DOI":"10.1109\/LCOMM.2020.2987625","volume":"24","author":"P Sarkar","year":"2020","unstructured":"Sarkar, P., Roy, A., Majhi, S.: Construction of Z-complementary code sets with non-power-of-two lengths based on generalized boolean functions. IEEE Commun. Lett. 24(8), 1607\u20131611 (2020). https:\/\/doi.org\/10.1109\/LCOMM.2020.2987625","journal-title":"IEEE Commun. Lett."},{"issue":"2","key":"684_CR10","doi-asserted-by":"publisher","first-page":"337","DOI":"10.1109\/LCOMM.2020.3029204","volume":"25","author":"P Sarkar","year":"2021","unstructured":"Sarkar, P., Majhi, S.: A direct construction of optimal ZCCS with maximum column sequence PMEPR two for MC-CDMA system. IEEE Commun. Lett. 25(2), 337\u2013341 (2021). https:\/\/doi.org\/10.1109\/LCOMM.2020.3029204","journal-title":"IEEE Commun. Lett."},{"issue":"5","key":"684_CR11","doi-asserted-by":"publisher","first-page":"1184","DOI":"10.1109\/TSP.2017.2780050","volume":"66","author":"S Das","year":"2018","unstructured":"Das, S., Budi\u0161in, S., Majhi, S., Liu, Z., Guan, Y.L.: A multiplier-free generator for polyphase complete complementary codes. IEEE Trans. Signal Process. 66(5), 1184\u20131196 (2018). https:\/\/doi.org\/10.1109\/TSP.2017.2780050","journal-title":"IEEE Trans. Signal Process."},{"key":"684_CR12","doi-asserted-by":"publisher","first-page":"777","DOI":"10.1049\/el:19990567","volume":"35","author":"P Fan","year":"1999","unstructured":"Fan, P., Suehiro, N., Kuroyanagi, N., Deng, X.: Class of binary sequences with zero correlation zone. Electron. Lett. 35, 777\u20137792 (1999)","journal-title":"Electron. Lett."},{"key":"684_CR13","doi-asserted-by":"publisher","unstructured":"Kumar, N., Majhi, S., Sarkar, P., Upadhyay, A.K.: A direct construction of prime-power-length zero-correlation zone sequences for QS-CDMA system. (2021). https:\/\/doi.org\/10.48550\/ARXIV.2111.06675. https:\/\/arxiv.org\/abs\/2111.06675","DOI":"10.48550\/ARXIV.2111.06675"},{"key":"684_CR14","doi-asserted-by":"publisher","first-page":"4267","DOI":"10.1109\/TIT.2008.928256","volume":"54","author":"Z Zhou","year":"2008","unstructured":"Zhou, Z., Tang, X., Gong, G.: A new class of sequences with zero or low correlation zone based on interleaving technique. IEEE Trans. Inf. Theory. 54, 4267\u20134273 (2008). https:\/\/doi.org\/10.1109\/TIT.2008.928256","journal-title":"IEEE Trans. Inf. Theory."},{"issue":"12","key":"684_CR15","doi-asserted-by":"publisher","first-page":"3691","DOI":"10.1093\/ietfec\/e91-a.12.3691","volume":"91","author":"Z Zhou","year":"2008","unstructured":"Zhou, Z., Pan, Z., Tang, X.: New families of optimal zero correlation zone sequences based on interleaved technique and perfect sequences. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. 91(12), 3691\u20133697 (2008)","journal-title":"IEICE Trans. Fundam. Electron. Commun. Comput. Sci."},{"key":"684_CR16","doi-asserted-by":"publisher","first-page":"4038","DOI":"10.1109\/TIT.2010.2050796","volume":"56","author":"X Tang","year":"2010","unstructured":"Tang, X., Fan, P., Lindner, J.: Multiple binary zero correlation zone sequence sets with good cross-correlation property based on complementary sequence sets. IEEE Trans. Inf. Theory. 56, 4038\u20134045 (2010). https:\/\/doi.org\/10.1109\/TIT.2010.2050796","journal-title":"IEEE Trans. Inf. Theory."},{"key":"684_CR17","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s12095-019-00413-2","volume":"12","author":"D Zhang","year":"2020","unstructured":"Zhang, D., Parker, M., Helleseth, T.: Polyphase zero correlation zone sequences from generalised Bent functions. Cryptogr. Commun. 12, 1\u201311 (2020). https:\/\/doi.org\/10.1007\/s12095-019-00413-2","journal-title":"Cryptogr. Commun."},{"key":"684_CR18","doi-asserted-by":"publisher","unstructured":"Zhou, Z., Zhang, D., Helleseth, T., Wen, J.: A construction of multiple optimal zero correlation zone sequence sets with good cross-correlation. IEEE Trans. Inf. Theor., 1 (2018). https:\/\/doi.org\/10.1109\/TIT.2017.2756845","DOI":"10.1109\/TIT.2017.2756845"},{"issue":"9","key":"684_CR19","doi-asserted-by":"publisher","first-page":"2795","DOI":"10.1109\/LCOMM.2021.3085312","volume":"25","author":"X Chen","year":"2021","unstructured":"Chen, X., Gao, X., Peng, X.: Construction of multiple optimal polyphase zero correlation zone sequence sets with inter-set zero cross-correlation zone. IEEE Commun. Letters. 25(9), 2795\u20132799 (2021). https:\/\/doi.org\/10.1109\/LCOMM.2021.3085312","journal-title":"IEEE Commun. Letters."},{"key":"684_CR20","doi-asserted-by":"publisher","unstructured":"Liu, Z., Guan, Y., Parampalli, U.: A new construction of zero correlation zone sequences from generalized Reed-Muller codes. In: IEEE Inf. Theory Workshop (ITW) (2014). https:\/\/doi.org\/10.1109\/ITW.2014.6970900","DOI":"10.1109\/ITW.2014.6970900"},{"key":"684_CR21","doi-asserted-by":"publisher","first-page":"551","DOI":"10.1049\/el:20000462","volume":"36","author":"XH Tang","year":"2000","unstructured":"Tang, X.H., Fan, P., Matsufuji, S.: Lower bounds on correlation of spreading sequence set with low or zero correlation zone. Electron. Lett. 36, 551\u2013552 (2000). https:\/\/doi.org\/10.1049\/el:20000462","journal-title":"Electron. Lett."},{"key":"684_CR22","unstructured":"Matsufuji, S.: Spreading sequence set for approximately synchronized CDMA system with no co-channel interference and high data capacity. WPMC\u2019, 333\u2013339 (1999)"},{"issue":"12","key":"684_CR23","doi-asserted-by":"publisher","first-page":"3007","DOI":"10.1587\/transfun.E100.A.3007","volume":"100","author":"T Liu","year":"2017","unstructured":"Liu, T., Xu, C., Li, Y., Chen, X.: New constructions of multiple binary zcz sequence sets with inter-set zero cross-correlation zone. IEICE Trans. Fund. 100(12), 3007\u20133015 (2017)","journal-title":"IEICE Trans. Fund."},{"key":"684_CR24","doi-asserted-by":"crossref","unstructured":"Kumar, P., Sarkar, P., Majhi, S., Paul, S.: A direct construction of even length ZCPs with large ZCZ ratio. Cryptogr. Commun., 1\u201310 (2022)","DOI":"10.1007\/s12095-022-00589-0"},{"issue":"3","key":"684_CR25","doi-asserted-by":"publisher","first-page":"1925","DOI":"10.1109\/TCOMM.2019.2962037","volume":"68","author":"L Tian","year":"2020","unstructured":"Tian, L., Li, Y., Xu, C.: Multiple complete complementary codes with inter-set zero cross-correlation zone. IEEE Trans. on Commun. 68(3), 1925\u20131936 (2020). https:\/\/doi.org\/10.1109\/TCOMM.2019.2962037","journal-title":"IEEE Trans. on Commun."},{"issue":"11","key":"684_CR26","doi-asserted-by":"publisher","first-page":"2244","DOI":"10.1587\/transfun.E96.A.2244","volume":"96","author":"H Torii","year":"2013","unstructured":"Torii, H., Matsumoto, T., Nakamura, M.: Extension of methods for constructing polyphase asymmetric ZCZ sequence sets. IEICE Trans. Fund. 96(11), 2244\u20132252 (2013)","journal-title":"IEICE Trans. Fund."},{"issue":"6","key":"684_CR27","doi-asserted-by":"publisher","first-page":"487","DOI":"10.2299\/jsp.16.487","volume":"16","author":"H Torii","year":"2012","unstructured":"Torii, H., Matsumoto, T., Nakamura, M.: Optimal polyphase asymmetric ZCZ sequence sets including uncorrelated sequences. J. Signal Process. 16(6), 487\u2013494 (2012)","journal-title":"J. Signal Process."},{"issue":"4","key":"684_CR28","doi-asserted-by":"publisher","first-page":"1268","DOI":"10.1109\/25.728516","volume":"47","author":"B Long","year":"1998","unstructured":"Long, B., Zhang, P., Hu, J.: A generalized QS-CDMA system and the design of new spreading codes. IEEE Trans. Vehic. Technol. 47(4), 1268\u20131275 (1998)","journal-title":"IEEE Trans. Vehic. Technol."},{"issue":"1","key":"684_CR29","doi-asserted-by":"publisher","first-page":"84","DOI":"10.1109\/JSAC.2005.858877","volume":"24","author":"X Tang","year":"2005","unstructured":"Tang, X., Mow, W.H.: Design of spreading codes for quasi-synchronous CDMA with intercell interference. IEEE J. Select. Areas Commun. 24(1), 84\u201393 (2005)","journal-title":"IEEE J. Select. Areas Commun."}],"container-title":["Cryptography and Communications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12095-023-00684-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s12095-023-00684-w\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12095-023-00684-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,4,23]],"date-time":"2024-04-23T09:12:59Z","timestamp":1713863579000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s12095-023-00684-w"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,11,20]]},"references-count":29,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2024,5]]}},"alternative-id":["684"],"URL":"https:\/\/doi.org\/10.1007\/s12095-023-00684-w","relation":{},"ISSN":["1936-2447","1936-2455"],"issn-type":[{"value":"1936-2447","type":"print"},{"value":"1936-2455","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,11,20]]},"assertion":[{"value":"2 August 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"26 October 2023","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"20 November 2023","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare no competing interests.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Competing interests"}}]}}