{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,21]],"date-time":"2025-10-21T15:20:49Z","timestamp":1761060049621,"version":"3.37.3"},"reference-count":15,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2015,12,14]],"date-time":"2015-12-14T00:00:00Z","timestamp":1450051200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"name":"National Key Basic Research Program of China","award":["2013CB834204"],"award-info":[{"award-number":["2013CB834204"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["61171082"],"award-info":[{"award-number":["61171082"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Cryptogr. Commun."],"published-print":{"date-parts":[[2017,3]]},"DOI":"10.1007\/s12095-015-0175-0","type":"journal-article","created":{"date-parts":[[2015,12,14]],"date-time":"2015-12-14T03:31:32Z","timestamp":1450063892000},"page":"291-299","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["1-generator generalized quasi-cyclic codes over \u2124 4 $\\mathbb {Z}_{4}$"],"prefix":"10.1007","volume":"9","author":[{"given":"Tingting","family":"Wu","sequence":"first","affiliation":[]},{"given":"Jian","family":"Gao","sequence":"additional","affiliation":[]},{"given":"Fang-Wei","family":"Fu","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2015,12,14]]},"reference":[{"key":"175_CR1","unstructured":"Aydin, N., Asamov, T.: The \u2124 4 $\\mathbb {Z}_{4}$ Database [Online]. Available: http:\/\/z4codes.info\/ . accessed on 28.08.2015"},{"key":"175_CR2","doi-asserted-by":"crossref","first-page":"2065","DOI":"10.1109\/TIT.2002.1013145","volume":"48","author":"N Aydin","year":"2009","unstructured":"Aydin, N., Ray-Chaudhuri, D.K.: Quasi cyclic codes over \u2124 4 $\\mathbb {Z}_{4}$ and some new binary codes. IEEE Trans. Inform. Theory 48, 2065\u20132069 (2009)","journal-title":"IEEE Trans. Inform. Theory"},{"key":"175_CR3","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1006\/jsco.1996.0125","volume":"24","author":"W Bosma","year":"1997","unstructured":"Bosma, W., Cannon, J., Playoust: The Magma algebra system. J. Symb. Comput. 24, 235\u2013265 (1997)","journal-title":"J. Symb. Comput."},{"key":"175_CR4","doi-asserted-by":"crossref","first-page":"219","DOI":"10.1007\/s00200-011-0145-5","volume":"22","author":"Y Cao","year":"2011","unstructured":"Cao, Y.: Generalized quasi-cyclic codes over Galois rings: structural properties and enumeration. Appl. Algebra Eng. Commun. Comput. 22, 219\u2013233 (2011)","journal-title":"Appl. Algebra Eng. Commun. Comput."},{"key":"175_CR5","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1007\/s10623-010-9417-5","volume":"60","author":"Y Cao","year":"2011","unstructured":"Cao, Y.: Structural properties and enumeration of 1-generator generalized quasi-cyclic codes. Des. Codes Cryptogr. 60, 67\u201379 (2011)","journal-title":"Des. Codes Cryptogr."},{"key":"175_CR6","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1007\/s00200-009-0095-3","volume":"20","author":"M Esmaeili","year":"2009","unstructured":"Esmaeili, M., Yari, S.: Generalized quasi-cyclic codes: Structural properties and codes construction. Appl. Algebra Eng. Commun. Comput. 20, 159\u2013173 (2009)","journal-title":"Appl. Algebra Eng. Commun. Comput."},{"key":"175_CR7","unstructured":"Gao, J., Shi, M., Wu, T., Fu, F.-W.: On double cyclic codes over \u2124 4 $\\mathbb {Z}_{4}$ . arXivpreprint, arXiv: 1501.01360v1 (2015)"},{"key":"175_CR8","doi-asserted-by":"crossref","first-page":"1005","DOI":"10.1587\/transfun.E97.A.1005","volume":"97","author":"J Gao","year":"2014","unstructured":"Gao, J., Fu, F.-W., Shen, L., Ren, W.: Some results on generalized quasi-cyclic codes over F q + u F q $\\mathbb {F}_{q}+u\\mathbb {F}_{q}$ . IEICE Trans. Fundamentals 97, 1005\u20131011 (2014)","journal-title":"IEICE Trans. Fundamentals"},{"key":"175_CR9","unstructured":"Grassl, M.: Table of Bounds on Linear Codes [Online]. Available: http:\/\/www.codetables.de\/ . accessed on 14.05.2015"},{"issue":"2","key":"175_CR10","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1109\/18.312154","volume":"40","author":"J Hammons","year":"1994","unstructured":"Hammons, J., Kumar, P.V., Calderbank, A.R., Sloane, N.J., Sol \u00e9, P.: The \u2124 4 $\\mathbb {Z}_{4}$ -linearity of Kerdock, Preparata, Goethals, and related codes. IEEE Trans. Inform. Theory 40(2), 301\u2013319 (1994)","journal-title":"IEEE Trans. Inform. Theory"},{"key":"175_CR11","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-58575-3","volume-title":"Introduction to Coding Theory","author":"JH Van Lint","year":"1999","unstructured":"Van Lint, J.H.: Introduction to Coding Theory. Springer-Verlag, Berlin (1999)"},{"key":"175_CR12","doi-asserted-by":"crossref","first-page":"1594","DOI":"10.1109\/18.532906","volume":"42","author":"V Pless","year":"1996","unstructured":"Pless, V., Qian, Z.: Cyclic codes and quadratic residue codes over \u2124 4 $\\mathbb {Z}_{4}$ . IEEE Trans. Inform. Theory 42, 1594\u20131600 (1996)","journal-title":"IEEE Trans. Inform. Theory"},{"key":"175_CR13","first-page":"425","volume":"101","author":"I Siap","year":"2011","unstructured":"Siap, I., Abualrub, T., Aydin, N.: Quaternary quasi-cyclic codes with even length components. Ars Combinatoria 101, 425\u2013434 (2011)","journal-title":"Ars Combinatoria"},{"key":"175_CR14","first-page":"24","volume":"5","author":"I Siap","year":"2005","unstructured":"Siap, I., Kulhan, N.: The structure of generalized quasi-cyclic codes. Appl. Math. E-Notes 5, 24\u201330 (2005)","journal-title":"Appl. Math. E-Notes"},{"key":"175_CR15","doi-asserted-by":"crossref","DOI":"10.1142\/3603","volume-title":"Quaternary Codes","author":"Z-X Wan","year":"1997","unstructured":"Wan, Z.-X.: Quaternary Codes. World Scientific, Singapore (1997)"}],"container-title":["Cryptography and Communications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s12095-015-0175-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s12095-015-0175-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s12095-015-0175-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s12095-015-0175-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T23:54:05Z","timestamp":1559433245000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s12095-015-0175-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,12,14]]},"references-count":15,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2017,3]]}},"alternative-id":["175"],"URL":"https:\/\/doi.org\/10.1007\/s12095-015-0175-0","relation":{},"ISSN":["1936-2447","1936-2455"],"issn-type":[{"type":"print","value":"1936-2447"},{"type":"electronic","value":"1936-2455"}],"subject":[],"published":{"date-parts":[[2015,12,14]]}}}