Creator/Author/Editor: Garcia, Arnaldo

2012

Stichtenoth, Henning and Garcia, Arnaldo (2012) Handbook of finite fields (G. Mullen, D. Panario, eds.) sec. 12.1: introduction to function fields and curves. In: Mullen, Gary and Panario, Daniel, (eds.) Handbook of Finite Fields. CRC Press, Boca Raton, London, New York. (Accepted/In Press)

Stichtenoth, Henning and Garcia, Arnaldo (2012) Handbook of finite fields, sec. 12.4 rational points on curves. In: Mullen, Gary and Panario, Daniel, (eds.) Handbook of Finite Fields. CRC Press, Boca Raton, London, New York. (Accepted/In Press)

Stichtenoth, Henning and Garcia, Arnaldo (2012) Handbook of finite fields, Sec. 12.5 towers. In: Mullen, Gary and Panario, Daniel, (eds.) Handbook of Finite Fields. CRC Press, Boca Raton, London, New York. (Accepted/In Press)

Garcia, Arnaldo and Stichtenoth, Henning and Bassa, Alp and Beelen, Peter (2012) Towers of function fields over non-prime finite fields. (Submitted)

2010

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

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

2008

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/In Press)

2007

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

2006

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. 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)

2005

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

2004

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)