{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,27]],"date-time":"2025-03-27T11:22:55Z","timestamp":1743074575418,"version":"3.40.3"},"publisher-location":"Berlin, Heidelberg","reference-count":11,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783662472200"},{"type":"electronic","value":"9783662472217"}],"license":[{"start":{"date-parts":[[2015,1,1]],"date-time":"2015-01-01T00:00:00Z","timestamp":1420070400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015]]},"DOI":"10.1007\/978-3-662-47221-7_14","type":"book-chapter","created":{"date-parts":[[2015,6,4]],"date-time":"2015-06-04T01:37:49Z","timestamp":1433381869000},"page":"181-195","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["On the Periods of Spatially Periodic Preimages in Linear Bipermutive Cellular Automata"],"prefix":"10.1007","author":[{"given":"Luca","family":"Mariot","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alberto","family":"Leporati","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2015,6,4]]},"reference":[{"key":"14_CR1","doi-asserted-by":"publisher","first-page":"1853","DOI":"10.1002\/j.1538-7305.1967.tb03174.x","volume":"46","author":"ER Berlekamp","year":"1967","unstructured":"Berlekamp, E.R.: Factoring polynomials over finite fields. Bell Syst. Tech. J. 46, 1853\u20131859 (1967)","journal-title":"Bell Syst. Tech. J."},{"key":"14_CR2","doi-asserted-by":"publisher","first-page":"219","DOI":"10.1016\/S0304-3975(98)00345-4","volume":"244","author":"G Cattaneo","year":"2000","unstructured":"Cattaneo, G., Finelli, M., Margara, L.: Investigating topological chaos by elementary cellular automata dynamics. Theor. Comp. Sci. 244, 219\u2013241 (2000)","journal-title":"Theor. Comp. Sci."},{"key":"14_CR3","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"215","DOI":"10.1007\/3-540-54303-1_133","volume-title":"EUROCODE \u201990","author":"G Chass\u00e9","year":"1991","unstructured":"Chass\u00e9, G.: Some remarks on a LFSR \u201cdisturbed\" by other sequences. In: Cohen, G., Charpin, P. (eds.) EUROCODE 1990. LNCS, vol. 514, pp. 215\u2013221. Springer, Heidelberg (1991)"},{"key":"14_CR4","unstructured":"The Cunningham Project. \n                    http:\/\/homes.cerias.purdue.edu\/~ssw\/cun\/index.html"},{"key":"14_CR5","doi-asserted-by":"publisher","first-page":"4823","DOI":"10.1016\/j.tcs.2009.06.023","volume":"410","author":"A Dennunzio","year":"2009","unstructured":"Dennunzio, A., Di Lena, P., Formenti, E., Margara, L.: On the directional dynamics of additive cellular automata. Theor. Comput. Sci. 410, 4823\u20134833 (2009)","journal-title":"Theor. Comput. Sci."},{"key":"14_CR6","doi-asserted-by":"publisher","first-page":"40","DOI":"10.1016\/j.tcs.2013.11.005","volume":"516","author":"A Dennunzio","year":"2014","unstructured":"Dennunzio, A., Formenti, E., Weiss, M.: Multidimensional cellular automata: closing property, quasi-expansivity, and (un)decidability issues. Theor. Comput. Sci. 516, 40\u201359 (2014)","journal-title":"Theor. Comput. Sci."},{"issue":"2","key":"14_CR7","doi-asserted-by":"publisher","first-page":"138","DOI":"10.1007\/BF01762232","volume":"7","author":"GA Hedlund","year":"1973","unstructured":"Hedlund, G.A.: Endomorphisms and Automorphisms of the Shift Dynamical Systems. Mathematical Systems Theory 7(2), 138\u2013153 (1973)","journal-title":"Mathematical Systems Theory"},{"key":"14_CR8","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"179","DOI":"10.1007\/978-3-540-68351-3_14","volume-title":"New Stream Cipher Designs","author":"M Hell","year":"2008","unstructured":"Hell, M., Johansson, T., Maximov, A., Meier, W.: The grain family of stream ciphers. In: Robshaw, M., Billet, O. (eds.) New Stream Cipher Designs. LNCS, vol. 4986, pp. 179\u2013190. Springer, Heidelberg (2008)"},{"key":"14_CR9","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139172769","volume-title":"Introduction to finite fields and their applications","author":"R Lidl","year":"1994","unstructured":"Lidl, R., Niederreiter, H.: Introduction to finite fields and their applications. Cambridge University Press, Cambridge (1994)"},{"key":"14_CR10","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"417","DOI":"10.1007\/978-3-319-11520-7_43","volume-title":"Cellular Automata","author":"L Mariot","year":"2014","unstructured":"Mariot, L., Leporati, A.: Sharing secrets by computing preimages of bipermutive cellular automata. In: W\u0105s, J., Sirakoulis, GCh., Bandini, S. (eds.) ACRI 2014. LNCS, vol. 8751, pp. 417\u2013426. Springer, Heidelberg (2014)"},{"key":"14_CR11","doi-asserted-by":"publisher","first-page":"122","DOI":"10.1109\/TIT.1969.1054260","volume":"15","author":"JL Massey","year":"1969","unstructured":"Massey, J.L.: Shift-register synthesis and BCH decoding. IEEE Trans. Inf. Theory 15, 122\u2013127 (1969)","journal-title":"IEEE Trans. Inf. Theory"}],"container-title":["Lecture Notes in Computer Science","Cellular Automata and Discrete Complex Systems"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-662-47221-7_14","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,2]],"date-time":"2019-06-02T20:05:59Z","timestamp":1559505959000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-662-47221-7_14"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015]]},"ISBN":["9783662472200","9783662472217"],"references-count":11,"URL":"https:\/\/doi.org\/10.1007\/978-3-662-47221-7_14","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2015]]},"assertion":[{"value":"4 June 2015","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}