{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,4]],"date-time":"2024-09-04T22:30:10Z","timestamp":1725489010926},"publisher-location":"Berlin, Heidelberg","reference-count":24,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540156581"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"DOI":"10.1007\/3-540-39568-7_25","type":"book-chapter","created":{"date-parts":[[2007,8,12]],"date-time":"2007-08-12T04:56:51Z","timestamp":1186894611000},"page":"314-338","source":"Crossref","is-referenced-by-count":0,"title":["Information Theory without the Finiteness Assumption, I: Cryptosystems as Group-Theoretic Objects"],"prefix":"10.1007","author":[{"given":"G. R.","family":"Blakley","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"25_CR1","doi-asserted-by":"publisher","first-page":"173","DOI":"10.2307\/2006975","volume":"117","author":"L. M. Adleman","year":"1983","unstructured":"L. M. Adleman, C. Pomerance and R. S. Rumely, On distinguishing prime numbers from composite numbers, Annals of Mathematics, vol. 117 (1983), pp. 173\u2013206.","journal-title":"Annals of Mathematics"},{"key":"25_CR2","volume-title":"The Elements of Real Analysis","author":"R. G. Bartle","year":"1964","unstructured":"R. G. Bartle, The Elements of Real Analysis, Wiley, New York (1964)."},{"key":"25_CR3","volume-title":"Cipher Systems: The Protection of Communications","author":"H. Beker","year":"1982","unstructured":"H. Beker and F. Piper, Cipher Systems: The Protection of Communications, Wiley-Interscience, New York (1982)."},{"key":"25_CR4","first-page":"39","volume-title":"Advances in Cryptology, Proceedings of Crypto\u2019 82","author":"G. R. Blakley","year":"1983","unstructured":"G. R. Blakley and Laif Swanson, Infinite structures in information theory, in D. Chaum, R. L. Rivest and A. T. Sherman, Advances in Cryptology, Proceedings of Crypto\u2019 82, Plenum Press, New York (1983), pp. 39\u201350."},{"key":"25_CR5","doi-asserted-by":"publisher","first-page":"305","DOI":"10.1080\/0161-117891853162","volume":"2","author":"B. Blakley","year":"1978","unstructured":"Bob Blakley and G. R. Blakley, Security of number theoretic public key cryptosystems against random attack, Part I, Cryptologia, Vol. 2 (1978), pp. 305\u2013321, Part II, Vol. 3 (1979), pp. 29\u201342, Part III, Vol. 3 (1979), pp. 105\u2013118.","journal-title":"Cryptologia"},{"key":"25_CR6","doi-asserted-by":"publisher","first-page":"518","DOI":"10.2307\/2322785","volume":"90","author":"J. T. Cross","year":"1983","unstructured":"J. T. Cross, The Euler \u03c6 function in the Gaussian integers, American Mathematical Monthly, vol. 90 (1983), pp. 518\u2013528.","journal-title":"American Mathematical Monthly"},{"key":"25_CR7","volume-title":"Cryptography and Data Security","author":"D. E. R. Denning","year":"1982","unstructured":"D. E. R. Denning, Cryptography and Data Security, Addison-Wesley, Reading, Massachusetts (1982)."},{"key":"25_CR8","doi-asserted-by":"publisher","first-page":"397","DOI":"10.1109\/PROC.1979.11256","volume":"67","author":"W. Diffie","year":"1979","unstructured":"W. Diffie and M. E. Hellman, Privacy and authentication, An introduction to cryptography, Proceedings of the IEEE, vol. 67 (1979), pp. 397\u2013427.","journal-title":"Proceedings of the IEEE"},{"key":"25_CR9","volume-title":"Real Functions","author":"C. Goffman","year":"1958","unstructured":"C. Goffman, Real Functions, Rinehart, New York (1958)."},{"key":"25_CR10","volume-title":"Naive Set Theory","author":"P. R. Halmos","year":"1960","unstructured":"P. R. Halmos, Naive Set Theory, Van Nostrand, Princeton, New Jersey (1960)."},{"key":"25_CR11","volume-title":"The Codebreakers","author":"D. Kahn","year":"1967","unstructured":"D. Kahn, The Codebreakers, MacMillan, New York (1967)."},{"key":"25_CR12","volume-title":"Topics in Number Theory","author":"W. J. LeVeque","year":"1956","unstructured":"W. J. LeVeque, Topics in Number Theory, Addison-Wesley, Reading, Massachusetts (1956)."},{"key":"25_CR13","volume-title":"Cryptography: A Primer","author":"A. G. Konheim","year":"1981","unstructured":"A. G. Konheim, Cryptography: A Primer, Wiley-Interscience, New York (1981)."},{"key":"25_CR14","volume-title":"Algebra","author":"S. MacLane","year":"1967","unstructured":"S. MacLane and G. Birkhoff, Algebra, Macmillan, New York (1967)."},{"key":"25_CR15","volume-title":"Categories for the Working Mathematician","author":"S. MacLane","year":"1971","unstructured":"S. MacLane, Categories for the Working Mathematician, Springer-Verlag, Berlin (1971)."},{"key":"25_CR16","unstructured":"C. H. Meyer and S. M. Matyas, Cryptography: A New Dimension in Computer Data Security, Wiley-Interscience (1982)"},{"key":"25_CR17","volume-title":"Fundamental Structures of Algebra","author":"G. D. Mostow","year":"1963","unstructured":"G. D. Mostow, J. H. Sampson and J.-P. Meyer, Fundamental Structures of Algebra, McGraw-Hill, New York (1963)."},{"key":"25_CR18","volume-title":"A First Course in Abstract Algebra, Holt","author":"H. Paley","year":"1966","unstructured":"H. Paley and P. M. Weichsel, A First Course in Abstract Algebra, Holt, Rinehart and Winston, New York (1966)."},{"key":"25_CR19","doi-asserted-by":"publisher","first-page":"106","DOI":"10.1109\/TIT.1978.1055817","volume":"IT-24","author":"S. C. Pohlig","year":"1978","unstructured":"S. C. Pohlig and M. E. Hellman, An improved algorithm for computing logarithms over GF(p) and its cryptographic significance, IEEE Transactions on Information Theory, Vol. IT-24 (1978), pp. 106\u2013110.","journal-title":"IEEE Transactions on Information Theory"},{"issue":"21","key":"25_CR20","doi-asserted-by":"publisher","first-page":"905","DOI":"10.1049\/el:19820617","volume":"18","author":"J.-J. Quisquater","year":"1982","unstructured":"J.-J. Quisquater and C. Couvreur, Fast decipherment algorithm for RSA public-key cryptosystem, Electronics Letters, Vol. 18, No. 21, Oct. 14 (1982), pp. 905\u2013907.","journal-title":"Electronics Letters"},{"key":"25_CR21","doi-asserted-by":"publisher","first-page":"120","DOI":"10.1145\/359340.359342","volume":"21","author":"R. L. Rivest","year":"1978","unstructured":"R. L. Rivest, A. Shamir and L. Adleman, A method for obtaining digital signatures and public key cryptosystems, Communication of the ACM, Vol. 21 (1978), pp. 120\u2013126.","journal-title":"Communication of the ACM"},{"key":"25_CR22","volume-title":"Real Analysis","author":"H. L. Royden","year":"1971","unstructured":"H. L. Royden, Real Analysis, Macmillan, London (1971)."},{"key":"25_CR23","doi-asserted-by":"crossref","first-page":"656","DOI":"10.1002\/j.1538-7305.1949.tb00928.x","volume":"28","author":"C. E. Shannon","year":"1949","unstructured":"C. E. Shannon, Communication theory of secrecy systems, Bell System Technical Journal, vol. 28, (1949), pp. 656\u2013715.","journal-title":"Bell System Technical Journal"},{"key":"25_CR24","volume-title":"Discrete Mathematical Structures and their Applications","author":"H. S. Stone","year":"1973","unstructured":"H. S. Stone, Discrete Mathematical Structures and their Applications, Science Research Associates, Chicago (1973)."}],"container-title":["Lecture Notes in Computer Science","Advances in Cryptology"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-39568-7_25.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,17]],"date-time":"2020-11-17T21:05:28Z","timestamp":1605647128000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-39568-7_25"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"ISBN":["9783540156581"],"references-count":24,"URL":"https:\/\/doi.org\/10.1007\/3-540-39568-7_25","relation":{},"subject":[]}}