{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T20:42:44Z","timestamp":1649018564207},"reference-count":21,"publisher":"Springer Science and Business Media LLC","issue":"1-3","license":[{"start":{"date-parts":[[2007,7,27]],"date-time":"2007-07-27T00:00:00Z","timestamp":1185494400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Des. Codes Cryptogr."],"published-print":{"date-parts":[[2007,8,31]]},"DOI":"10.1007\/s10623-007-9102-5","type":"journal-article","created":{"date-parts":[[2007,7,26]],"date-time":"2007-07-26T17:43:17Z","timestamp":1185471797000},"page":"307-319","source":"Crossref","is-referenced-by-count":2,"title":["Abelian difference sets of order n dividing \u03bb"],"prefix":"10.1007","volume":"44","author":[{"given":"K. T.","family":"Arasu","sequence":"first","affiliation":[]},{"given":"Yu Qing","family":"Chen","sequence":"additional","affiliation":[]},{"given":"J. F.","family":"Dillon","sequence":"additional","affiliation":[]},{"given":"Xiaoyu","family":"Liu","sequence":"additional","affiliation":[]},{"given":"Kevin J.","family":"Player","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2007,7,27]]},"reference":[{"key":"9102_CR1","doi-asserted-by":"crossref","first-page":"1120","DOI":"10.1016\/j.jcta.2005.09.009","volume":"23","author":"KT Arasu","year":"2006","unstructured":"Arasu KT, Chen YQ and Pott A (2006). On abelian (22m+1(2 m-1\u00a0+\u00a01), 2 m (2 m \u00a0+\u00a01), 2 m )-difference sets. J Combin Theory Ser A 23: 1120\u20131137","journal-title":"J Combin Theory Ser A"},{"key":"9102_CR2","unstructured":"Arasu KT, Dillon JF, Player KJ Character sum factorizations yield perfect sequences, (in preparation)"},{"key":"9102_CR3","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1023\/A:1021827804314","volume":"28","author":"KT Arasu","year":"2003","unstructured":"Arasu KT and Player KJ (2003). A new family of cyclic difference sets with Singer parameters in characteristic three. Des Codes Cryptogr 28: 75\u201391","journal-title":"Des Codes Cryptogr"},{"key":"9102_CR4","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9781316529836","volume-title":"Designs and their codes, Cambridge Tracts in Mathematics, vol 103","author":"EF Assmus Jr","year":"1992","unstructured":"Key JD and Assmus EF Jr (1992). Designs and their codes, Cambridge Tracts in Mathematics, vol 103. Cambridge University Press, Cambridge"},{"key":"9102_CR5","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511549533","volume-title":"Design theory, vol 1","author":"T Beth","year":"1999","unstructured":"Beth T, Jungnickel D and Lenz H (1999). Design theory, vol 1, 2nd edn. Cambridge University Press, Cambridge","edition":"2"},{"key":"9102_CR6","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1023\/A:1026435428030","volume":"17","author":"JF Dillon","year":"1999","unstructured":"Dillon JF (1999). Multiplicative difference sets via additive characters. Des Codes Cryptogr 17: 225\u2013235","journal-title":"Des Codes Cryptogr"},{"key":"9102_CR7","doi-asserted-by":"crossref","first-page":"342","DOI":"10.1016\/j.ffa.2003.09.003","volume":"10","author":"JF Dillon","year":"2004","unstructured":"Dillon JF and Dobbertin H (2004). New cyclic difference sets with Singer parameters. Finite Fields Appl 10: 342\u2013389","journal-title":"Finite Fields Appl"},{"key":"9102_CR8","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1006\/jcta.1997.2796","volume":"80","author":"JA Davis","year":"1997","unstructured":"Davis JA and Jedwab J (1997). A unifying construction for difference sets. J Combin Theory Ser A 80: 13\u201378","journal-title":"J Combin Theory Ser A"},{"key":"9102_CR9","doi-asserted-by":"crossref","first-page":"74","DOI":"10.1006\/jcta.1998.2950","volume":"87","author":"R Evans","year":"1999","unstructured":"Evans R, Hollmann HDL, Krattenthaler C and Xiang Q (1999). Gauss sums, Jacobi sums, and p-ranks of cyclic difference sets. J Combin Theory Ser A 87: 74\u2013119","journal-title":"J Combin Theory Ser A"},{"key":"9102_CR10","doi-asserted-by":"crossref","unstructured":"Glynn DG (1983) Two new sequences of ovals in finite Desarguesian planes of even order. Combin Math X: 217\u2013229. Lecture Notes in Mathematics, vol 1036, Springer-Verlag, Heidelberg","DOI":"10.1007\/BFb0071521"},{"key":"9102_CR11","first-page":"975","volume":"7","author":"M Hall Jr","year":"1965","unstructured":"Hall M Jr (1965). A survey of difference sets. Proc Amer Math Soc 7: 975\u2013986","journal-title":"Proc Amer Math Soc"},{"key":"9102_CR12","doi-asserted-by":"crossref","unstructured":"Hertel D (2006) Extended Hadamard equivalence. In: Gong G et\u00a0al (eds) Sequences and their applications SETA06. Lecture Notes in Computer Science, vol 4086, Springer-Verlag, pp 119\u2013128","DOI":"10.1007\/11863854_10"},{"key":"9102_CR13","doi-asserted-by":"crossref","unstructured":"Jungnickel D, Schmidt B (1997) Difference sets: an update. In: Hirschfeld JWP, Magliveras SS, de Resmini MJ (eds) Geometry, combinatorial designs and related structures. Cambridge Univ. Press, pp 89\u2013112","DOI":"10.1017\/CBO9780511526114.010"},{"key":"9102_CR14","doi-asserted-by":"crossref","first-page":"425","DOI":"10.1007\/BF01305235","volume":"12","author":"SL Ma","year":"1992","unstructured":"Ma SL (1992). Reversible relative difference sets. Combinatorica 12: 425\u2013432","journal-title":"Combinatorica"},{"key":"9102_CR15","doi-asserted-by":"crossref","first-page":"1278","DOI":"10.1109\/18.669400","volume":"44","author":"J-S No","year":"1998","unstructured":"No J-S, Chung H and Yun M-S (1998). Binary pseudorandom sequences of period 2 m \u22121 with ideal autocorrelation generated by the polynomial z d \u00a0+\u00a0(z\u00a0+\u00a01) d . IEEE Trans Inform Theory 44: 1278\u20131282","journal-title":"IEEE Trans Inform Theory"},{"key":"9102_CR16","doi-asserted-by":"crossref","first-page":"814","DOI":"10.1109\/18.661528","volume":"44","author":"J-S No","year":"1998","unstructured":"No J-S, Golomb SW, Gong G, Lee H-K and Gaal P (1998). Binary pseudorandom sequences of period 2 m \u22121 with ideal autocorrelation. IEEE Trans Inform Theory 44: 814\u2013817","journal-title":"IEEE Trans Inform Theory"},{"key":"9102_CR17","doi-asserted-by":"crossref","first-page":"404","DOI":"10.1006\/jabr.1997.7204","volume":"202","author":"B Schmidt","year":"1998","unstructured":"Schmidt B (1998). Nonexistence results on Chen and Davis-Jedwab difference sets. J Algebra 202: 404\u2013413","journal-title":"J Algebra"},{"key":"9102_CR18","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-1934-7","volume-title":"Introduction to cyclotomic fields","author":"LC Washington","year":"1997","unstructured":"Washington LC (1997). Introduction to cyclotomic fields, 2nd edn. Springer-Verlag, New York","edition":"2"},{"key":"9102_CR19","unstructured":"Yamamoto K (1955) On congruences arising from relative Gauss sums. In: Number theory and combinatorics. World Scientific, Singapore, pp 423\u2013446"},{"key":"9102_CR20","doi-asserted-by":"crossref","unstructured":"Yu NY, Gong G (2006) Realizations from decimation Hadamard transform for special classes of binary sequences with two-level autocorrelation. In: Helleseth T et\u00a0al (eds) Coding and cryptography. Lecture Notes in Computer Science, vol 3969. Springer-Verlag, pp 371\u2013385","DOI":"10.1007\/11779360_29"},{"key":"9102_CR21","doi-asserted-by":"crossref","unstructured":"Yu NY, Gong G (2006) Crosscorrelation properties of binary sequences with ideal two-level autocorrelation. In: Gong G et\u00a0al (eds) Sequences and their applications SETA06. Lecture Notes in Computer Science, vol 4086. Springer-Verlag, pp 104\u2013118","DOI":"10.1007\/11863854_9"}],"container-title":["Designs, Codes and Cryptography"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10623-007-9102-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10623-007-9102-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10623-007-9102-5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,30]],"date-time":"2019-05-30T19:50:08Z","timestamp":1559245808000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10623-007-9102-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,7,27]]},"references-count":21,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[2007,8,31]]}},"alternative-id":["9102"],"URL":"https:\/\/doi.org\/10.1007\/s10623-007-9102-5","relation":{},"ISSN":["0925-1022","1573-7586"],"issn-type":[{"value":"0925-1022","type":"print"},{"value":"1573-7586","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,7,27]]}}}