{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,28]],"date-time":"2025-03-28T10:15:51Z","timestamp":1743156951984,"version":"3.40.3"},"publisher-location":"Cham","reference-count":30,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319264035"},{"type":"electronic","value":"9783319264042"}],"license":[{"start":{"date-parts":[[2015,1,1]],"date-time":"2015-01-01T00:00:00Z","timestamp":1420070400000},"content-version":"unspecified","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\/978-3-319-26404-2_3","type":"book-chapter","created":{"date-parts":[[2015,12,1]],"date-time":"2015-12-01T11:16:40Z","timestamp":1448968600000},"page":"34-45","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Image Encryption Using Koblitz\u2019s Encoding and New Mapping Method Based on Elliptic Curve Random Number Generator"],"prefix":"10.1007","author":[{"given":"Omar","family":"Reyad","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zbigniew","family":"Kotulski","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2015,11,17]]},"reference":[{"key":"3_CR1","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"417","DOI":"10.1007\/3-540-39799-X_31","volume-title":"Advances in Cryptology","author":"VS Miller","year":"1986","unstructured":"Miller, V.S.: Use of elliptic curves in cryptography. In: Williams, H.C. (ed.) CRYPTO 1985. LNCS, vol. 218, pp. 417\u2013426. Springer, Heidelberg (1986)"},{"key":"3_CR2","doi-asserted-by":"publisher","first-page":"203","DOI":"10.1090\/S0025-5718-1987-0866109-5","volume":"48","author":"N Koblitz","year":"1987","unstructured":"Koblitz, N.: Elliptic curve cryptosystems. J. Math. Comput. 48, 203\u2013209 (1987)","journal-title":"J. Math. Comput."},{"key":"3_CR3","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"119","DOI":"10.1007\/978-3-540-28632-5_9","volume-title":"Cryptographic Hardware and Embedded Systems - CHES 2004","author":"N Gura","year":"2004","unstructured":"Gura, N., Patel, A., Wander, A., Eberle, H., Shantz, S.C.: Comparing elliptic curve cryptography and RSA on 8-bit CPUs. In: Joye, M., Quisquater, J.-J. (eds.) CHES 2004. LNCS, vol. 3156, pp. 119\u2013132. Springer, Heidelberg (2004)"},{"key":"3_CR4","doi-asserted-by":"publisher","first-page":"213","DOI":"10.1016\/j.chaos.2006.11.009","volume":"38","author":"T Gao","year":"2008","unstructured":"Gao, T., Chen, Z.: Image encryption based on a new total shuffling algorithm. J. Chaos Solitons and Fractals 38, 213\u2013220 (2008)","journal-title":"J. Chaos Solitons and Fractals"},{"key":"3_CR5","doi-asserted-by":"publisher","first-page":"2755","DOI":"10.1016\/j.cnsns.2009.11.010","volume":"15","author":"V Patidar","year":"2010","unstructured":"Patidar, V., Pareek, N.K., Sud, K.K.: Modified substitution-diffusion image cipher using chaotic standard and logistic maps. J. Commun. Nonlinear Sci. Numer. Simul. 15, 2755\u20132765 (2010)","journal-title":"J. Commun. Nonlinear Sci. Numer. Simul."},{"key":"3_CR6","first-page":"1","volume":"11","author":"IA Ismail","year":"2010","unstructured":"Ismail, I.A., Amin, M., Diab, H.: A digital image encryption algorithm based a composition of two chaotic logistic maps. Int. J. Network Secur. 11, 1\u201310 (2010)","journal-title":"Int. J. Network Secur."},{"key":"3_CR7","first-page":"45","volume":"28","author":"SP Indrakanti","year":"2011","unstructured":"Indrakanti, S.P., Avadhani, P.S.: Permutation based image encryption technique. Int. J. Comput. Appl. 28, 45\u201347 (2011)","journal-title":"Int. J. Comput. Appl."},{"key":"3_CR8","doi-asserted-by":"publisher","first-page":"187","DOI":"10.1007\/BF00196911","volume":"3","author":"BS Kaliski","year":"1991","unstructured":"Kaliski, B.S.: One-way permutations on elliptic curves. J. Cryptology 3, 187\u2013199 (1991)","journal-title":"J. Cryptology"},{"key":"3_CR9","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"34","DOI":"10.1007\/3-540-46513-8_3","volume-title":"Selected Areas in Cryptography","author":"G Gong","year":"2000","unstructured":"Gong, G., Berson, T.A., Stinson, D.R.: Elliptic curve pseudorandom sequence generators. In: Heys, H.M., Adams, C.M. (eds.) SAC 1999. LNCS, vol. 1758, pp. 34\u201348. Springer, Heidelberg (2000)"},{"key":"3_CR10","first-page":"561","volume":"6","author":"M Caragiu","year":"2006","unstructured":"Caragiu, M., Johns, R., Gieseler, J.: Quasi-random structures from elliptic curves. J. Algebra Number Theory Appl. 6, 561\u2013571 (2006)","journal-title":"J. Algebra Number Theory Appl."},{"key":"3_CR11","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"426","DOI":"10.1007\/978-3-540-71677-8_28","volume-title":"Public Key Cryptography \u2013 PKC 2007","author":"RR Farashahi","year":"2007","unstructured":"Farashahi, R.R., Schoenmakers, B., Sidorenko, A.: Efficient pseudorandom generators based on the DDH assumption. In: Okamoto, T., Wang, X. (eds.) PKC 2007. LNCS, vol. 4450, pp. 426\u2013441. Springer, Heidelberg (2007)"},{"key":"3_CR12","doi-asserted-by":"publisher","first-page":"31","DOI":"10.12785\/amis\/090105","volume":"9","author":"O Reyad","year":"2015","unstructured":"Reyad, O., Kotulski, Z.: On pseudo-random number generators using elliptic curves and chaotic systems. J. Appl. Math. Inf. Sci. 9, 31\u201338 (2015)","journal-title":"J. Appl. Math. Inf. Sci."},{"key":"3_CR13","doi-asserted-by":"publisher","first-page":"121","DOI":"10.1090\/conm\/477\/09305","volume":"477","author":"IE Shparlinski","year":"2009","unstructured":"Shparlinski, I.E.: Pseudorandom number generators from elliptic curves. Contemp. Math. Am. Math. Soc. 477, 121\u2013141 (2009)","journal-title":"Contemp. Math. Am. Math. Soc."},{"key":"3_CR14","series-title":"Communications in Computer and Information Science","doi-asserted-by":"crossref","first-page":"38","DOI":"10.1007\/978-3-662-44893-9_4","volume-title":"cryptography and security systems","author":"O Reyad","year":"2014","unstructured":"Reyad, O., Kotulski, Z.: Statistical analysis of the chaos-driven elliptic curve pseudo-random number generators. In: Kotulski, Z., Ksi\u0119\u017copolski, B., Mazur, K. (eds.) CSS 2014. CCIS, vol. 448, pp. 38\u201348. Springer, Heidelberg (2014)"},{"key":"3_CR15","first-page":"1","volume":"29","author":"K Gupta","year":"2011","unstructured":"Gupta, K., Silakari, S.: Efficient hybrid image cryptosystem using ECC and chaotic map. Int. J. Comput. Appl. 29, 1\u201313 (2011)","journal-title":"Int. J. Comput. Appl."},{"key":"3_CR16","series-title":"Communications in Computer and Information Science","doi-asserted-by":"publisher","first-page":"859","DOI":"10.1007\/978-3-642-31698-2_121","volume-title":"Proceedings of the 2012 International Conference on Communication, Electronics and Automation Engineering","author":"Z Zhao","year":"2013","unstructured":"Zhao, Z., Zhang, X.: ECC-based image encryption using code computing. In: Yang, G. (ed.) Proceedings of the ICCEAE2012. CCIS, vol. 181, pp. 859\u2013865. Springer, Heidelberg (2013)"},{"doi-asserted-by":"crossref","unstructured":"Gupta, K., Silakari, S., Gupta, R., Khan, S.A.: An ethical way of image encryption using ECC. In: First International Conference on Computational Intelligence, Communication Systems and Networks, pp. 342\u2013345. IEEE, Indore (2009)","key":"3_CR17","DOI":"10.1109\/CICSYN.2009.33"},{"key":"3_CR18","doi-asserted-by":"publisher","first-page":"65","DOI":"10.1504\/IJESDF.2012.045391","volume":"4","author":"S Maria","year":"2012","unstructured":"Maria, S., Muneeswaran, K.: Key generation based on elliptic curve over finite prime field. Int. J. Elect. Sec. Digital Forensics 4, 65\u201381 (2012)","journal-title":"Int. J. Elect. Sec. Digital Forensics"},{"key":"3_CR19","first-page":"85","volume":"7","author":"A Soleymani","year":"2013","unstructured":"Soleymani, A., Nordin, M.J., Hoshyar, A.N., Zulkarnain, M.A., Sundararajan, E.: An image encryption scheme based on elliptic curve and a novel mapping method. Int. J. Digital Content Technol. Appl. 7, 85\u201394 (2013)","journal-title":"Int. J. Digital Content Technol. Appl."},{"key":"3_CR20","doi-asserted-by":"publisher","first-page":"136","DOI":"10.1016\/j.aeue.2012.07.004","volume":"67","author":"AAA El-Latif","year":"2013","unstructured":"El-Latif, A.A.A., Niua, X.: A hybrid chaotic system and cyclic elliptic curve for image encryption. Int. J. Electron. Commun. 67, 136\u2013143 (2013)","journal-title":"Int. J. Electron. Commun."},{"key":"3_CR21","first-page":"137","volume":"12","author":"SV Sathyanarayana","year":"2011","unstructured":"Sathyanarayana, S.V., Kumar, M.A., Bhat, K.N.H.: Symmetric key image encryption scheme with key sequences derived from random sequence of cyclic elliptic curve points. Int. J. Netw. Secur. 12, 137\u2013150 (2011)","journal-title":"Int. J. Netw. Secur."},{"key":"3_CR22","doi-asserted-by":"publisher","first-page":"67","DOI":"10.1049\/iet-ifs.2012.0147","volume":"7","author":"L Tawalbeh","year":"2013","unstructured":"Tawalbeh, L., Mowafi, M., Aljoby, W.: Use of elliptic curve cryptography for multimedia encryption. IET Inf. Secur. 7, 67\u201374 (2013)","journal-title":"IET Inf. Secur."},{"unstructured":"Reyad, O., Kotulski, Z., Abd-Elhafiez, W.M.: Image encryption using chaos-driven elliptic curve pseudo-random number generators. J. Appl. Math. Inf. Sci. (to appear)","key":"3_CR23"},{"key":"3_CR24","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4615-3198-2","volume-title":"Elliptic Curve Public Key Cryptosystems","author":"A Menezes","year":"1993","unstructured":"Menezes, A.: Elliptic Curve Public Key Cryptosystems. Kluwer Academic, Dordrecht (1993)"},{"key":"3_CR25","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-09494-6","volume-title":"The Arithmetic of Elliptic Curves","author":"JH Silverman","year":"2009","unstructured":"Silverman, J.H.: The Arithmetic of Elliptic Curves. Springer, New York (2009)"},{"key":"3_CR26","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4615-6927-5","volume-title":"Ergodic Theory","author":"LP Cornfeld","year":"1982","unstructured":"Cornfeld, L.P., Fomin, S.V., Sinai, Y.G.: Ergodic Theory. Springer, Berlin (1982)"},{"key":"3_CR27","doi-asserted-by":"publisher","first-page":"137","DOI":"10.1023\/A:1011950531970","volume":"8","author":"J Szczepanski","year":"2001","unstructured":"Szczepanski, J., Kotulski, Z.: Pseudorandom number generators based on chaotic dynamical systems. J. Open Syst. Inf. Dyn. 8, 137\u2013146 (2001)","journal-title":"J. Open Syst. Inf. Dyn."},{"key":"3_CR28","doi-asserted-by":"publisher","first-page":"3670","DOI":"10.1103\/PhysRevE.51.3670","volume":"51","author":"SC Phatak","year":"1995","unstructured":"Phatak, S.C., Rao, S.S.: Logistic map: a possible random-number generator. J. Phys. Rev. E 51, 3670\u20133678 (1995)","journal-title":"J. Phys. Rev. E"},{"key":"3_CR29","volume-title":"Introduction to Cryptography with Coding Theory","author":"W Trappe","year":"2006","unstructured":"Trappe, W., Washington, L.C.: Introduction to Cryptography with Coding Theory. Pearson Education Inc., Upple Saddle River (2006)"},{"key":"3_CR30","first-page":"1904","volume":"2","author":"BH Padma","year":"2010","unstructured":"Padma, B.H., Chandravathi, D., Roja, P.P.: Encoding and decoding of a message in the implementation of elliptic curve cryptography using Koblitz\u2019s method. IJCSE 2, 1904\u20131907 (2010)","journal-title":"IJCSE"}],"container-title":["Communications in Computer and Information Science","Multimedia Communications, Services and Security"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-26404-2_3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,31]],"date-time":"2019-05-31T15:28:47Z","timestamp":1559316527000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-26404-2_3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015]]},"ISBN":["9783319264035","9783319264042"],"references-count":30,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-26404-2_3","relation":{},"ISSN":["1865-0929","1865-0937"],"issn-type":[{"type":"print","value":"1865-0929"},{"type":"electronic","value":"1865-0937"}],"subject":[],"published":{"date-parts":[[2015]]},"assertion":[{"value":"17 November 2015","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}