{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,8]],"date-time":"2025-09-08T06:44:51Z","timestamp":1757313891230},"reference-count":26,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2021,1,17]],"date-time":"2021-01-17T00:00:00Z","timestamp":1610841600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2021,1,17]],"date-time":"2021-01-17T00:00:00Z","timestamp":1610841600000},"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":["AAECC"],"published-print":{"date-parts":[[2023,1]]},"DOI":"10.1007\/s00200-020-00478-0","type":"journal-article","created":{"date-parts":[[2021,1,17]],"date-time":"2021-01-17T04:14:43Z","timestamp":1610856883000},"page":"99-109","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["A new class of distance-optimal binary cyclic codes and their duals"],"prefix":"10.1007","volume":"34","author":[{"given":"Kaiqiang","family":"Liu","sequence":"first","affiliation":[]},{"given":"Wenli","family":"Ren","sequence":"additional","affiliation":[]},{"given":"Feng","family":"Wang","sequence":"additional","affiliation":[]},{"given":"Jianpeng","family":"Wang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,1,17]]},"reference":[{"issue":"6","key":"478_CR1","doi-asserted-by":"publisher","first-page":"2089","DOI":"10.1109\/TIT.2005.847722","volume":"51","author":"C Carlet","year":"2005","unstructured":"Carlet, C., Ding, C., Yuan, J.: Linear codes from highly nonlinear functions and their secret sharing schemes. IEEE Trans. Inf. Theory 51(6), 2089\u20132102 (2005)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"5","key":"478_CR2","doi-asserted-by":"publisher","first-page":"575","DOI":"10.1109\/TIT.1975.1055435","volume":"21","author":"P Delsarte","year":"1975","unstructured":"Delsarte, P.: On subfield subcodes of modified Reed-Solomon codes. IEEE Trans. Inf. Theory 21(5), 575\u2013576 (1975)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"4","key":"478_CR3","doi-asserted-by":"publisher","first-page":"434","DOI":"10.1016\/j.disc.2012.11.009","volume":"313","author":"C Ding","year":"2013","unstructured":"Ding, C., Yang, J.: Hamming weights in irreducible cyclic codes. Discrete Math. 313(4), 434\u2013446 (2013)","journal-title":"Discrete Math."},{"issue":"3","key":"478_CR4","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.ffa.2012.12.005","volume":"20","author":"C Ding","year":"2013","unstructured":"Ding, C., Ling, S.: A $$q$$-polynomial approach to cyclic codes. Finite Fields Appl. 20(3), 1\u201314 (2013)","journal-title":"Finite Fields Appl."},{"issue":"4","key":"478_CR5","doi-asserted-by":"publisher","first-page":"1977","DOI":"10.1137\/120882275","volume":"27","author":"C Ding","year":"2013","unstructured":"Ding, C.: Cyclic codes from some monomials and trinomials. SIAM J. Discrete Math. 27(4), 1977\u20131994 (2013)","journal-title":"SIAM J. Discrete Math."},{"issue":"9","key":"478_CR6","doi-asserted-by":"publisher","first-page":"5898","DOI":"10.1109\/TIT.2013.2260795","volume":"59","author":"C Ding","year":"2013","unstructured":"Ding, C., Helleseth, T.: Optimal ternary cyclic codes from monomials. IEEE Trans. Inf. Theory 59(9), 5898\u20135904 (2013)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"1","key":"478_CR7","doi-asserted-by":"publisher","first-page":"81","DOI":"10.1016\/j.tcs.2004.09.011","volume":"330","author":"C Ding","year":"2005","unstructured":"Ding, C., Wang, X.: A coding theory construction of new systematic authentication codes. Theor. Comput. Sci. 330(1), 81\u201399 (2005)","journal-title":"Theor. Comput. Sci."},{"issue":"7","key":"478_CR8","doi-asserted-by":"publisher","first-page":"3605","DOI":"10.1109\/TIT.2010.2048504","volume":"56","author":"C Ding","year":"2010","unstructured":"Ding, C., Yang, Y., Tang, X.: Optimal sets of frequency hopping sequences from linear cyclic codes. IEEE Trans. Inf. Theory 56(7), 3605\u20133612 (2010)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"4","key":"478_CR9","doi-asserted-by":"publisher","first-page":"1473","DOI":"10.1109\/18.923728","volume":"47","author":"H Dobbertin","year":"2001","unstructured":"Dobbertin, H., Helleseth, T., Kumar, V., Martinsen, H.: Ternary $$m$$-sequences with three-valued cross-correlation function: new decimations of Welch and Niho type. IEEE Trans. Inf. Theory 47(4), 1473\u20131481 (2001)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"3","key":"478_CR10","doi-asserted-by":"publisher","first-page":"253","DOI":"10.1007\/s10623-011-9514-0","volume":"62","author":"T Feng","year":"2012","unstructured":"Feng, T.: On cyclic codes of length $$2^{2^r}-1$$ with two zeros whose dual codes have three weights. Des. Codes Cryptogr. 62(3), 253\u2013258 (2012)","journal-title":"Des. Codes Cryptogr."},{"key":"478_CR11","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511807077","volume-title":"Fundamentals of Error-Correcting Codes","author":"WC Huffman","year":"2003","unstructured":"Huffman, W.C., Pless, V.: Fundamentals of Error-Correcting Codes. Cambridge University Press, Cambridge (2003)"},{"key":"478_CR12","doi-asserted-by":"publisher","DOI":"10.1142\/6400","volume-title":"Codes for Error Detection","author":"T Kl\u00f8ve","year":"2007","unstructured":"Kl\u00f8ve, T.: Codes for Error Detection. World Scientific Publishing Co., Inc., New Jersey (2007)"},{"key":"478_CR13","doi-asserted-by":"publisher","first-page":"94","DOI":"10.1016\/j.ffa.2014.01.009","volume":"28","author":"C Li","year":"2014","unstructured":"Li, C., Yue, Q., Li, F.: Weight distributions of cyclic codes with respect to pairwise coprime order elements. Finite Fields Appl. 28, 94\u2013114 (2014)","journal-title":"Finite Fields Appl."},{"issue":"8","key":"478_CR14","doi-asserted-by":"publisher","first-page":"4710","DOI":"10.1109\/TIT.2014.2329694","volume":"60","author":"C Li","year":"2014","unstructured":"Li, C., Li, N., Helleseth, T., Ding, C.: The weight distributions of several classes of cyclic codes from APN monomials. IEEE Trans. Inf. Theory 60(8), 4710\u20134721 (2014)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"478_CR15","doi-asserted-by":"publisher","first-page":"225","DOI":"10.1016\/j.ffa.2014.05.003","volume":"29","author":"F Li","year":"2014","unstructured":"Li, F., Yue, Q., Li, C.: The minimum Hamming distances of irreducible cyclic codes. Finite Fields Appl. 29, 225\u2013242 (2014)","journal-title":"Finite Fields Appl."},{"key":"478_CR16","doi-asserted-by":"publisher","first-page":"100","DOI":"10.1016\/j.ffa.2014.06.001","volume":"30","author":"N Li","year":"2014","unstructured":"Li, N., Li, C., Helleseth, T., Ding, C., Tang, X.: Optimal ternary cyclic codes with minimum distance four and five. Finite Fields Appl. 30, 100\u2013120 (2014)","journal-title":"Finite Fields Appl."},{"key":"478_CR17","doi-asserted-by":"publisher","first-page":"965","DOI":"10.1587\/transfun.E100.A.965","volume":"100\u2013A","author":"R Luo","year":"2017","unstructured":"Luo, R., Wei, L., Cheng, F., Du, X.: A class of binary cyclic codes with four weights. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. 100\u2013A, 965\u2013968 (2017)","journal-title":"IEICE Trans. Fundam. Electron. Commun. Comput. Sci."},{"key":"478_CR18","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-58575-3","volume-title":"Introduction to Coding Theory","author":"JH Lint","year":"1999","unstructured":"Lint, J.H.: Introduction to Coding Theory. Springer-Verlag, Berlin (1999)"},{"key":"478_CR19","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1016\/S0019-9958(63)90189-X","volume":"6","author":"V Pless","year":"1963","unstructured":"Pless, V.: Power moment identities on weight distributions in error correcting codes. Inf. Control 6, 147\u2013152 (1963)","journal-title":"Inf. Control"},{"key":"478_CR20","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1006\/ffta.2000.0293","volume":"8","author":"B Schmidt","year":"2002","unstructured":"Schmidt, B., White, C.: All two-weight irreducible cyclic codes. Finite Fields Appl. 8, 1\u201317 (2002)","journal-title":"Finite Fields Appl."},{"issue":"9","key":"478_CR21","doi-asserted-by":"publisher","first-page":"5985","DOI":"10.1109\/TIT.2013.2266731","volume":"59","author":"J Yang","year":"2013","unstructured":"Yang, J., Xiong, M., Ding, C., Luo, J.: Weight distribution of a class of cyclic codes with arbitrary number of zeros. IEEE Trans. Inf. Theory 59(9), 5985\u20135993 (2013)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"478_CR22","doi-asserted-by":"publisher","first-page":"202","DOI":"10.1016\/j.ffa.2014.05.001","volume":"29","author":"D Zheng","year":"2014","unstructured":"Zheng, D., Wang, X., Hu, L., Zeng, X.: The weight distributions of two classes of $$p$$-ary cyclic codes. Finite Fields Appl. 29, 202\u2013224 (2014)","journal-title":"Finite Fields Appl."},{"issue":"1","key":"478_CR23","doi-asserted-by":"publisher","first-page":"70","DOI":"10.1016\/j.ffa.2011.06.005","volume":"18","author":"X Zeng","year":"2012","unstructured":"Zeng, X., Shan, J., Hu, L.: A triple-error-correcting cyclic code from the Gold and Kasami\u2013Welch APN power functions. Finite Fields Appl. 18(1), 70\u201392 (2012)","journal-title":"Finite Fields Appl."},{"key":"478_CR24","doi-asserted-by":"publisher","first-page":"79","DOI":"10.1016\/j.ffa.2013.08.005","volume":"25","author":"Z Zhou","year":"2014","unstructured":"Zhou, Z., Ding, C.: A class of three-weight cyclic codes. Finite Fields Appl. 25, 79\u201393 (2014)","journal-title":"Finite Fields Appl."},{"issue":"10","key":"478_CR25","doi-asserted-by":"publisher","first-page":"4120","DOI":"10.1109\/TCOMM.2013.072213.130107","volume":"61","author":"Z Zhou","year":"2013","unstructured":"Zhou, Z., Ding, C.: Seven classes of three-weight cyclic codes. IEEE Trans. Commun. 61(10), 4120\u20134126 (2013)","journal-title":"IEEE Trans. Commun."},{"key":"478_CR26","doi-asserted-by":"publisher","DOI":"10.1007\/s00200-019-00400-3","author":"X Zeng","year":"2019","unstructured":"Zeng, X., Fan, C., Zeng, Q., Qi, Y.: Two classes of binary cyclic codes and their weight distributions. Appl. Algebra Eng. Commun. Comput. (2019). https:\/\/doi.org\/10.1007\/s00200-019-00400-3","journal-title":"Appl. Algebra Eng. Commun. Comput."}],"container-title":["Applicable Algebra in Engineering, Communication and Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00200-020-00478-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00200-020-00478-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00200-020-00478-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,1,11]],"date-time":"2023-01-11T16:03:22Z","timestamp":1673453002000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00200-020-00478-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,1,17]]},"references-count":26,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2023,1]]}},"alternative-id":["478"],"URL":"https:\/\/doi.org\/10.1007\/s00200-020-00478-0","relation":{},"ISSN":["0938-1279","1432-0622"],"issn-type":[{"value":"0938-1279","type":"print"},{"value":"1432-0622","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,1,17]]},"assertion":[{"value":"7 July 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 November 2020","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"23 November 2020","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 January 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}