Items where Author is "Garcia, Arnaldo"

Bassa, Alp and Beelen, Peter and Garcia, Arnaldo and Stichtenoth, Henning (2015) Towers of function fields over non-prime finite fields. Moscow Mathematical Journal, 15 (1). pp. 1-29. ISSN 1609-3321 (Print) 1609-4514 (Online)

Bassa, Alp and Beelen, Peter and Garcia, Arnaldo and Stichtenoth, Henning (2014) An improvement of the Gilbert-Varshamov bound over nonprime fields. IEEE Transactions on Information Theory, 60 (7). pp. 3859-3861. ISSN 0018-9448

Bassa, Alp and Beelen, Peter and Garcia, Arnaldo and Stichtenoth, Henning (2014) Galois towers over non-prime finite fields. Acta Arithmetica, 164 (2). pp. 163-179. ISSN 0065-1036 (Print) 1730-6264 (Online)

Garcia, Arnaldo and Stichtenoth, Henning (2013) Introduction to function fields and curves. In: Mullen, Gary L. and Panario, Daniel, (eds.) Handbook of Finite Fields. Discrete Mathematics and Its Applications. CRC Press, Boca Raton, London, New York. ISBN 9781439873786

Garcia, Arnaldo and Stichtenoth, Henning (2013) Rational points on curves. In: Mullen, Gary L. and Panario, Daniel, (eds.) Handbook of Finite Fields. Discrete Mathematics and Its Applications. CRC Press, Boca Raton, London, New York. ISBN 9781439873786

Garcia, Arnaldo and Stichtenoth, Henning (2013) Towers. In: Mullen, Gary L. and Panario, Daniel, (eds.) Handbook of Finite Fields. Discrete Mathematics and Its Applications. CRC Press, Boca Raton, London, New York. ISBN 9781439873786

Garcia, Arnaldo and Güneri, Cem and Stichtenoth, Henning (2010) A generalization of the Giulietti-Korchmaros maximal curve. Advances in Geometry, 10 (3). pp. 427-434. ISSN 1615-715X (Print) 1615-7168 (Online)

Garcia, Arnaldo and Stichtenoth, Henning (2010) A note on a maximal curve. In: 12th Conference on Arithmetic, Geometry, Cryptography, and Coding Theory, Luminy - Marseille, France

Bassa, Alp and Garcia, Arnaldo and Stichtenoth, Henning (2008) A new tower over cubic finite fields. Moscow Mathematical Journal, 8 (3). pp. 401-418. ISSN 1609-3321

Garcia, Arnaldo and Stichtenoth, Henning (2008) Some remarks on the Hasse-Arf theorem. In: Fq8, Melbourne (Accepted)

Garcia, Arnaldo and Stichtenoth, Henning (2007) On the galois closure of towers. In: Li, Wen-Ching Winnie, (ed.) Recent Trends in Coding Theory and Its Applications. AMS/IP studies in advanced mathematics, v.41, 41 (41). American Mathematical Society, Rhode Island, USD, pp. 83-94. ISBN 978-0-8218-4298-0

Garcia, Arnaldo and Stichtenoth, Henning (2006) Topics in geometry, coding theory and cryptography. [Volumes Edited / Special Issues]

Stichtenoth, Henning and Garcia, Arnaldo (2006) Explicit towers of function fields over finite fields. Topics in geometry, coding theory and cryptography. Algebra and Applications v.6 (256). Springer, Dordrecht, pp. 1-58. ISBN 1402053339

Garcia, Arnaldo and Stichtenoth, Henning (2006) Some Artin-Schreier towers are easy. Moscow Mathematical Journal, 5 (4). ISSN 1609-4514

Beelen, Peter and Garcia, Arnaldo and Stichtenoth, Henning (2006) Towards a classification of recursive towers of function fields over finite fields. Finite Fields and Their Applications, 12 (1). pp. 56-77. ISSN 1071-5797

Garcia, Arnaldo and Stichtenoth, Henning (2006) A maximal curve which is not a Galois subcover of the Hermitian curve. Bulletin of the Brazilian Mathematical Society, 37 (1). pp. 139-152. ISSN 1678-7544 (Print) 1678-7714 (Online)

Bezerra, J. and Garcia, Arnaldo and Stichtenoth, Henning (2005) An explicit tower of function fields over cubic finite fields and Zink`s lower bound. Journal fur die Reine und Angewandte Mathematik, 589 . pp. 159-199. ISSN 0075-4102 (Print) 1435-5345 (Online)

Garcia, Arnaldo and Stichtenoth, Henning (2005) Asymptotics for the genus and the number of rational places in towers of function fields over a finite field. Finite Fields and Their Applications, 11 (3). pp. 434-450. ISSN 1071-5797

Beelen, Peter and Garcia, Arnaldo and Stichtenoth, Henning (2005) On ramification and genus of recursive towers. Portugaliae Math, 62 (2). pp. 1-13. ISSN 0032-5155

Beelen, Peter and Garcia, Arnaldo and Stichtenoth, Henning (2004) On towers of function fields of Artin-Schreier type. Bulletin of the Brazilian Mathematical Society, 35 (2). pp. 151-164. ISSN 1678-7544 (Print) 1678-7714 (Online)