{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T14:45:29Z","timestamp":1775054729623,"version":"3.50.1"},"reference-count":28,"publisher":"Springer Science and Business Media LLC","issue":"2-3","license":[{"start":{"date-parts":[[2018,8,16]],"date-time":"2018-08-16T00:00:00Z","timestamp":1534377600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100003336","name":"Bulgarian National Science Fund","doi-asserted-by":"publisher","award":["12\/8, 15.12.2017"],"award-info":[{"award-number":["12\/8, 15.12.2017"]}],"id":[{"id":"10.13039\/501100003336","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003336","name":"Bulgarian National Science Fund","doi-asserted-by":"publisher","award":["DH 02\/2, 13.12.2016"],"award-info":[{"award-number":["DH 02\/2, 13.12.2016"]}],"id":[{"id":"10.13039\/501100003336","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Des. Codes Cryptogr."],"published-print":{"date-parts":[[2019,3]]},"DOI":"10.1007\/s10623-018-0534-x","type":"journal-article","created":{"date-parts":[[2018,8,16]],"date-time":"2018-08-16T06:27:10Z","timestamp":1534400830000},"page":"365-374","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Classification of optimal (v,\u00a0k,\u00a01) binary cyclically permutable constant weight codes with $$k=5,$$ k = 5 , 6 and 7 and small lengths"],"prefix":"10.1007","volume":"87","author":[{"given":"Tsonka","family":"Baicheva","sequence":"first","affiliation":[]},{"given":"Svetlana","family":"Topalova","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,8,16]]},"reference":[{"issue":"3","key":"534_CR1","doi-asserted-by":"publisher","first-page":"224","DOI":"10.1134\/S0032946011030021","volume":"47","author":"T Baicheva","year":"2011","unstructured":"Baicheva T., Topalova S.: Classification of optimal (v,4,1) binary cyclically permutable constant weight codes and cyclic S(2,4, v) designs with $$v \\le 76$$ v \u2264 76 . Probl. Inf. Transm. 47(3), 224\u2013231 (2011).","journal-title":"Probl. Inf. Transm."},{"key":"534_CR2","series-title":"International Book Series: Information Science and Computing, Book 25","first-page":"24","volume-title":"Mathematics of Distances and Applications","author":"T Baicheva","year":"2012","unstructured":"Baicheva T., Topalova S.: Classification results for (v, k, 1) cyclic difference families with small parameters. In: Deza M., Petitjean M., Markov K. (eds.) Mathematics of Distances and Applications, pp. 24\u201330. International Book Series: Information Science and Computing, Book 25ITHEA Publication, Sofia (2012)."},{"issue":"1","key":"534_CR3","doi-asserted-by":"crossref","first-page":"83","DOI":"10.55630\/sjc.2015.9.83-92","volume":"9","author":"T Baicheva","year":"2015","unstructured":"Baicheva T., Topalova S.: Classification of maximal optical orthogonal codes of weight 3 and small lengths. Serdica J. Comput. 9(1), 83\u201392 (2015).","journal-title":"Serdica J. Comput."},{"issue":"1","key":"534_CR4","doi-asserted-by":"publisher","first-page":"77","DOI":"10.1109\/18.370117","volume":"41","author":"S Bitan","year":"1992","unstructured":"Bitan S., Etzion J.: Constructions for optimal constant weight cyclically permutable codes and difference families. IEEE Trans. Inf. Theory 41(1), 77\u201387 (1992).","journal-title":"IEEE Trans. Inf. Theory"},{"key":"534_CR5","first-page":"175","volume":"58","author":"EF Brickell","year":"1987","unstructured":"Brickell E.F., Wei V.K.: Optical orthogonal codes and cyclic block designs. Congr. Numer. 58, 175\u2013192 (1987).","journal-title":"Congr. Numer."},{"key":"534_CR6","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s10623-009-9335-6","volume":"56","author":"M Buratti","year":"2010","unstructured":"Buratti M., Pasotti A.: Further progress on difference families with block size 4 or 5. Des. Codes Cryptogr. 56, 1\u201320 (2010).","journal-title":"Des. Codes Cryptogr."},{"key":"534_CR7","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1007\/s10623-010-9382-z","volume":"58","author":"M Buratti","year":"2011","unstructured":"Buratti M., Momihara K., Pasotti A.: New results on optimal (v, 4, 2, 1) optical orthogonal codes. Des. Codes Cryptogr. 58, 89\u2013109 (2011).","journal-title":"Des. Codes Cryptogr."},{"key":"534_CR8","doi-asserted-by":"publisher","first-page":"346","DOI":"10.1002\/jcd.20011","volume":"12","author":"Y Chang","year":"2004","unstructured":"Chang Y., Ji L.: Optimal (4up, 5, 1) optical orthogonal codes. J. Comb. Des. 12, 346\u2013361 (2004).","journal-title":"J. Comb. Des."},{"key":"534_CR9","doi-asserted-by":"publisher","first-page":"167","DOI":"10.1023\/A:1008311600271","volume":"15","author":"K Chen","year":"1998","unstructured":"Chen K., Zhu L.: Existence of (q, 6, 1) difference families with q a prime power. Des. Codes Cryptogr. 15, 167\u2013173 (1998).","journal-title":"Des. Codes Cryptogr."},{"issue":"1","key":"534_CR10","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1002\/(SICI)1520-6610(1999)7:1<21::AID-JCD4>3.0.CO;2-Y","volume":"7","author":"K Chen","year":"1999","unstructured":"Chen K., Zhu L.: Existence of (q, k, 1) difference families with q a prime power and k=4,5. J. Comb. Des. 7(1), 21\u201330 (1999).","journal-title":"J. Comb. Des."},{"key":"534_CR11","doi-asserted-by":"publisher","first-page":"126","DOI":"10.1002\/jcd.998","volume":"10","author":"K Chen","year":"2002","unstructured":"Chen K., Wei R., Zhu L.: Existence of (q, 7, 1) difference families with q a prime power. J. Comb. Des. 10, 126\u2013138 (2002).","journal-title":"J. Comb. Des."},{"key":"534_CR12","doi-asserted-by":"publisher","first-page":"163","DOI":"10.1016\/S0012-365X(03)00266-8","volume":"279","author":"W Chu","year":"2004","unstructured":"Chu W., Colbourn C.J.: Optimal (n, 4, 2)- OOC of small order. Discret. Math. 279, 163\u2013172 (2004).","journal-title":"Discret. Math."},{"key":"534_CR13","doi-asserted-by":"publisher","first-page":"3072","DOI":"10.1109\/TIT.2003.818387","volume":"49","author":"W Chu","year":"2003","unstructured":"Chu W., Golomb S.W.: A new recursive construction for optical orthogonal codes. IEEE Trans. Inf. Theory 49, 3072\u20133076 (2003).","journal-title":"IEEE Trans. Inf. Theory"},{"key":"534_CR14","first-page":"463","volume":"2","author":"CJ Colbourn","year":"1981","unstructured":"Colbourn C.J.: On cyclic Steiner systems S(2,6,91). Abstr. Am. Math. Soc. 2, 463 (1981).","journal-title":"Abstr. Am. Math. Soc."},{"key":"534_CR15","unstructured":"Colbourn Ch., Dinitz J. (eds.): Handbook of Combinatorial Designs, 2nd edn (Discrete Mathematics and Its Applications, ser. ed. K. Rosen). CRC Press, Boca Raton (2007)."},{"key":"534_CR16","doi-asserted-by":"publisher","first-page":"215","DOI":"10.1016\/S0167-5060(08)70182-1","volume":"7","author":"MJ Colbourn","year":"1980","unstructured":"Colbourn M.J., Mathon R.A.: On cyclic Steiner 2-designs. Ann. Discret. Math. 7, 215\u2013253 (1980).","journal-title":"Ann. Discret. Math."},{"key":"534_CR17","doi-asserted-by":"publisher","first-page":"2396","DOI":"10.1109\/18.887852","volume":"46","author":"R Fuji-Hara","year":"2000","unstructured":"Fuji-Hara R., Miao Y.: Optical orthogonal codes: their bounds and new optimal constructions. IEEE Trans. Inf. Theory 46, 2396\u20132406 (2000).","journal-title":"IEEE Trans. Inf. Theory"},{"key":"534_CR18","doi-asserted-by":"publisher","first-page":"255","DOI":"10.1016\/0012-365X(75)90040-0","volume":"11","author":"H Hanani","year":"1975","unstructured":"Hanani H.: Balanced incomplete block designs and related designs. Discret. Math. 11, 255\u2013369 (1975).","journal-title":"Discret. Math."},{"key":"534_CR19","doi-asserted-by":"publisher","first-page":"265","DOI":"10.1016\/0012-365X(91)90442-5","volume":"97","author":"Z Janko","year":"1991","unstructured":"Janko Z., Tonchev V.D.: Cyclic 2-(91, 6, 1) designs with multiplier automorphisms. Discret. Math. 97, 265\u2013268 (1991).","journal-title":"Discret. Math."},{"key":"534_CR20","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1016\/j.dam.2003.12.005","volume":"143","author":"R Julian","year":"2004","unstructured":"Julian R., Abel R., Costa S., Finizio N.: Directed-ordered whist tournaments and (v,5,1) difference families: existence results and some new classes of Z-cyclic solutions. Discret. Appl. Math. 143, 43\u201353 (2004).","journal-title":"Discret. Appl. Math."},{"key":"534_CR21","doi-asserted-by":"publisher","first-page":"1848","DOI":"10.1109\/TIT.2004.831845","volume":"50","author":"S Ma","year":"2004","unstructured":"Ma S., Chang Y.: A new class of optimal optical orthogonal codes with weight five. IEEE Trans. Inf. Theory 50, 1848\u20131850 (2004).","journal-title":"IEEE Trans. Inf. Theory"},{"key":"534_CR22","doi-asserted-by":"publisher","first-page":"54","DOI":"10.1002\/jcd.20022","volume":"13","author":"S Ma","year":"2005","unstructured":"Ma S., Chang Y.: Constructions of optimal optical orthogonal codes with weight five. J. Comb. Des. 13, 54\u201369 (2005).","journal-title":"J. Comb. Des."},{"key":"534_CR23","doi-asserted-by":"publisher","first-page":"448","DOI":"10.1109\/18.370146","volume":"41","author":"O Moreno","year":"1995","unstructured":"Moreno O., Zhang Z., Kumar P.V., Zinoviev V.A.: New constructions of optimal cyclically permutable constant weight codes. IEEE Trans. Inf. Theory 41, 448\u2013455 (1995).","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"3","key":"534_CR24","doi-asserted-by":"publisher","first-page":"940","DOI":"10.1109\/18.135636","volume":"38","author":"QA Nguyen","year":"1992","unstructured":"Nguyen Q.A., Gy\u00f6fri L., Massey J.L.: Constructions of binary constant weight cyclic codes and cyclically permutable codes. IEEE Trans. Inf. Theory 38(3), 940\u2013949 (1992).","journal-title":"IEEE Trans. Inf. Theory"},{"key":"534_CR25","first-page":"550","volume-title":"The CRC Handbook of Combinatorial Designs","author":"DR Stinson","year":"2006","unstructured":"Stinson D.R., Wei R., Yin J.: Packings. In: Colbourn C.J., Dinitz J.H. (eds.) The CRC Handbook of Combinatorial Designs, 2nd edn, pp. 550\u2013556. Chapman and Hall\/CRC Press, Boca Raton (2006).","edition":"2"},{"key":"534_CR26","doi-asserted-by":"crossref","first-page":"1268","DOI":"10.1360\/02ys9137","volume":"45","author":"Y Tang","year":"2002","unstructured":"Tang Y., Yin J.: Combinatorial constructions for a class of optimal OOCs. Sci. China (A) 45, 1268\u20131275 (2002).","journal-title":"Sci. China (A)"},{"key":"534_CR27","doi-asserted-by":"crossref","unstructured":"Wang S., Wang L., Wang J.: A new class of optimal optical orthogonal codes with weight six. In: Proceedings of Seventh International Workshop of Signal Design and its Applications in Communications (2016).","DOI":"10.1109\/IWSDA.2015.7458416"},{"key":"534_CR28","doi-asserted-by":"publisher","first-page":"201","DOI":"10.1016\/S0012-365X(97)00172-6","volume":"185","author":"J Yin","year":"1998","unstructured":"Yin J.: Some combinatorial constructions for optical orthogonal codes. Discret. Math. 185, 201\u2013219 (1998).","journal-title":"Discret. Math."}],"container-title":["Designs, Codes and Cryptography"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10623-018-0534-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10623-018-0534-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10623-018-0534-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,9]],"date-time":"2024-07-09T07:55:53Z","timestamp":1720511753000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10623-018-0534-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,8,16]]},"references-count":28,"journal-issue":{"issue":"2-3","published-print":{"date-parts":[[2019,3]]}},"alternative-id":["534"],"URL":"https:\/\/doi.org\/10.1007\/s10623-018-0534-x","relation":{},"ISSN":["0925-1022","1573-7586"],"issn-type":[{"value":"0925-1022","type":"print"},{"value":"1573-7586","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,8,16]]},"assertion":[{"value":"22 December 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"11 July 2018","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 August 2018","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"16 August 2018","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}