{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,5,29]],"date-time":"2022-05-29T10:40:23Z","timestamp":1653820823869},"reference-count":17,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2015,12,1]],"date-time":"2015-12-01T00:00:00Z","timestamp":1448928000000},"content-version":"unspecified","delay-in-days":334,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["LMS J. Comput. Math."],"published-print":{"date-parts":[[2015]]},"abstract":"<jats:p>In this paper, we investigate examples of good and optimal Drinfeld modular towers of function fields. Surprisingly, the optimality of these towers has not been investigated in full detail in the literature. We also give an algorithmic approach for obtaining explicit defining equations for some of these towers and, in particular, give a new explicit example of an optimal tower over a quadratic finite field.<\/jats:p>","DOI":"10.1112\/s146115701500025x","type":"journal-article","created":{"date-parts":[[2015,12,15]],"date-time":"2015-12-15T11:06:44Z","timestamp":1450177604000},"page":"699-712","source":"Crossref","is-referenced-by-count":0,"title":["Good families of Drinfeld modular curves"],"prefix":"10.1112","volume":"18","author":[{"given":"Alp","family":"Bassa","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peter","family":"Beelen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nhut","family":"Nguyen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2015,12,1]]},"reference":[{"key":"S146115701500025X_r6","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0072692"},{"key":"S146115701500025X_r8","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-18487-1_21"},{"key":"S146115701500025X_r16","doi-asserted-by":"publisher","DOI":"10.1002\/mana.19821090103"},{"key":"S146115701500025X_r17","doi-asserted-by":"publisher","DOI":"10.1007\/BF01083182"},{"key":"S146115701500025X_r7","doi-asserted-by":"publisher","DOI":"10.5802\/jtnb.23"},{"key":"S146115701500025X_r3","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-8266-8_14"},{"key":"S146115701500025X_r11","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-61480-4"},{"key":"S146115701500025X_r13","first-page":"330","volume-title":"Drinfeld modules, modular schemes and applications","author":"Schweizer","year":"1997"},{"key":"S146115701500025X_r5","volume-title":"Bonner mathematische Schriften","author":"Gekeler","year":"1979"},{"key":"S146115701500025X_r1","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1515\/9783110317916.23","volume-title":"Algebraic curves and finite fields","author":"Bassa","year":"2014"},{"key":"S146115701500025X_r9","volume-title":"Graduate Texts in Mathematics","volume":"215","author":"Goldschmidt","year":"2003"},{"key":"S146115701500025X_r4","doi-asserted-by":"publisher","DOI":"10.1006\/jnth.1996.0147"},{"key":"S146115701500025X_r2","first-page":"23","volume-title":"Proceedings of the Thirty-Fifth [1997] Annual Allerton Conference on Communication, Control and Computing","author":"Elkies","year":"1998"},{"key":"S146115701500025X_r14","first-page":"397","article-title":"Sur le nombre des points rationnels d\u2019une courbe alg\u00e9brique sur un corps fini","volume":"296","author":"Serre","year":"1983","journal-title":"C. R. Acad. Sci. Paris"},{"key":"S146115701500025X_r10","first-page":"170","article-title":"Codes on algebraic curves","volume":"24","author":"Goppa","year":"1981","journal-title":"Sov. Math. Dokl."},{"key":"S146115701500025X_r12","first-page":"721","article-title":"Some remarks on the number of rational points of algebraic curves over finite fields","volume":"28","author":"Ihara","year":"1982","journal-title":"J. Fac. Sci. Univ. Tokyo 1A"},{"key":"S146115701500025X_r15","unstructured":"15. L. Taelman , \u2018Drinfeld modular curves have many points\u2019, Preprint, 2006, arXiv:math\/0602157 [math.AG]."}],"container-title":["LMS Journal of Computation and Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S146115701500025X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,5,29]],"date-time":"2022-05-29T10:06:18Z","timestamp":1653818778000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S146115701500025X\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015]]},"references-count":17,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2015]]}},"alternative-id":["S146115701500025X"],"URL":"https:\/\/doi.org\/10.1112\/s146115701500025x","relation":{},"ISSN":["1461-1570"],"issn-type":[{"value":"1461-1570","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015]]}}}