{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,2]],"date-time":"2025-08-02T19:06:59Z","timestamp":1754161619913,"version":"3.41.2"},"reference-count":14,"publisher":"Springer Science and Business Media LLC","issue":"1-3","license":[{"start":{"date-parts":[[1999,12,1]],"date-time":"1999-12-01T00:00:00Z","timestamp":944006400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[1999,12,1]],"date-time":"1999-12-01T00:00:00Z","timestamp":944006400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Designs, Codes and Cryptography"],"published-print":{"date-parts":[[1999,12]]},"DOI":"10.1023\/a:1008393304548","type":"journal-article","created":{"date-parts":[[2002,12,22]],"date-time":"2002-12-22T09:41:38Z","timestamp":1040550098000},"page":"149-157","source":"Crossref","is-referenced-by-count":2,"title":["A General Polynomial Sieve"],"prefix":"10.1007","volume":"18","author":[{"given":"Shuhong","family":"Gao","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jason","family":"Howell","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"240916_CR1","doi-asserted-by":"crossref","unstructured":"L. M. Adleman, A subexponential algorithm for the discrete logarithm problem with applications to cryptography, Proc. 20th IEEE Found. Comp. Sci. Symp. (1979) pp. 55-60.","DOI":"10.1109\/SFCS.1979.2"},{"key":"240916_CR2","doi-asserted-by":"crossref","unstructured":"L. M. Adleman, The function field sieve, Algorithmic number theory, Lec. Notes in Comp. Sci., Springer-Verlag, 877 (1994) pp. 108-121.","DOI":"10.1007\/3-540-58691-1_48"},{"key":"240916_CR3","doi-asserted-by":"crossref","unstructured":"D. Coppersmith, Fast evaluation of logarithms in fields of characteristic two, IEEE Trans. Inform. Theory, IT-30 (1984) pp. 87-594.","DOI":"10.1109\/TIT.1984.1056941"},{"key":"240916_CR4","unstructured":"D. M. Gordon, Email communication (1999)."},{"key":"240916_CR5","doi-asserted-by":"crossref","first-page":"124","DOI":"10.1137\/0406010","volume":"6","author":"D. M. Gordon","year":"1993","unstructured":"D. M. Gordon, Discrete logarithms in GF(p) using the number field sieve, SIAM J. Disc. Math., Vol. 6 (1993) pp. 124-138.","journal-title":"SIAM J. Disc. Math."},{"key":"240916_CR6","series-title":"Lec. Notes Comp. Sci.","doi-asserted-by":"crossref","first-page":"312","DOI":"10.1007\/3-540-48071-4_22","volume-title":"Advances in Cryptology\u2014Crypto '92","author":"D. M. Gordon","year":"1993","unstructured":"D. M. Gordon and K. S. McCurley, Massively parallel computation of discrete logarithms, Advances in Cryptology\u2014Crypto '92, Lec. Notes Comp. Sci., Springer-Verlag, New York, 740 (1993) pp. 312-323."},{"key":"240916_CR7","doi-asserted-by":"crossref","unstructured":"K. S. McCurley, The discrete logarithm problem, Proc. Symposia Applied Mathematics, AMS (1990).","DOI":"10.1090\/psapm\/042\/1095551"},{"key":"240916_CR8","doi-asserted-by":"crossref","unstructured":"A. M. Odylzko, Discrete logarithms in finite fields and their cryptographic significance, Advances in Cryptology: Proceedings of Eurocrypt '84, Lecture notes in Computer Science, 209 pgs., pp. 224-314.","DOI":"10.1007\/3-540-39757-4_20"},{"key":"240916_CR9","doi-asserted-by":"crossref","unstructured":"A. M. Odlyzko, Discrete logarithms and smooth polynomials, in Finite Fields: Theory, Applications, and Algorithms, (Gary L. Mullen and Peter Jau-Shyong Shiue, eds.), Contemporary Mathematics, 168, AMS (1994) pp. 269-278.","DOI":"10.1090\/conm\/168\/01706"},{"key":"240916_CR10","doi-asserted-by":"crossref","unstructured":"J. M. Pollard, The lattice sieve, The Development of the Number Field Sieve, (A. K. Lenstra and H.W. Lenstra, Jr., Eds.), Lecture Notes in Mathematics, Springer-Verlag, 1554 (1993) pp. 43-49.","DOI":"10.1007\/BFb0091538"},{"key":"240916_CR11","series-title":"Lec. Notes Comp. Sci.","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1007\/3-540-39757-4_17","volume-title":"Advances in Cryptology\u2014Crypto '84","author":"C. Pomerance","year":"1985","unstructured":"C. Pomerance, The quadratic sieve factoring algorithm, Advances in Cryptology\u2014Crypto '84, Lec. Notes Comp. Sci., Springer, New York, 209 (1985) pp. 169-182."},{"key":"240916_CR12","series-title":"Lec. Notes Comp. Sci.","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1007\/3-540-61581-4_66","volume-title":"Algorithmic Number Theory","author":"O. Schirokauer","year":"1996","unstructured":"O. Schirokauer, D. Weber, and T. Denny, Discrete logarithms: the effectiveness of the index calculus method, Algorithmic Number Theory, Lec. Notes Comp. Sci., Springer, Berlin, 1122 (1996) pp. 337-361."},{"issue":"224","key":"240916_CR13","doi-asserted-by":"crossref","first-page":"1679","DOI":"10.1090\/S0025-5718-98-00969-7","volume":"67","author":"I. A. Semaev","year":"1998","unstructured":"I. A. Semaev, An algorithm for evaluation of discrete logarithms in some nonprime finite fields, Math. Comp. 67 (1998), no. 224, 1679-1689.","journal-title":"Math. Comp."},{"key":"240916_CR14","unstructured":"A. E. Western and J. C. P. Miller, Tables of indices and primitive roots, Royal Society Mathematical Tables, Cambridge Univ. Press, 9 (1968)."}],"container-title":["Designs, Codes and Cryptography"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1008393304548.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1008393304548\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1008393304548.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,29]],"date-time":"2025-07-29T03:33:46Z","timestamp":1753760026000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1008393304548"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,12]]},"references-count":14,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[1999,12]]}},"alternative-id":["240916"],"URL":"https:\/\/doi.org\/10.1023\/a:1008393304548","relation":{},"ISSN":["0925-1022","1573-7586"],"issn-type":[{"type":"print","value":"0925-1022"},{"type":"electronic","value":"1573-7586"}],"subject":[],"published":{"date-parts":[[1999,12]]}}}