Creator/Author/Editor: Stichtenoth, Henning

2012

Güneri, Cem and Özdemir, Mehmet and Stichtenoth, Henning (2012) The automorphism group of the generalized Giulietti-Korchmaros function field. (Accepted/In Press)

Stichtenoth, Henning and Topuzoğlu, Alev (2012) Factorization of a class of polynomials over finite fields. Finite Fields and Their Applications, 18 (1). pp. 108-122. ISSN 1071-5797

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)

Hess, Florian and Stichtenoth, Henning and Tutdere, Seher (2012) On invariants of towers of function fields over finite fields. (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)

2011

Stichtenoth, Henning (2011) Curves with a prescribed number of rational points. Finite Fields and Their Applications, 17 (6). pp. 552-559. ISSN 1071-5797

Anbar, Nurdagül and Stichtenoth, Henning (2011) Curves of every genus with a prescribed number of rational points. (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

Stichtenoth, Henning (2010) Curves with prescribed number of rational points. (Submitted)

Stichtenoth, Henning (2010) Recursive towers of function fields over finite fields. In: 3rd International Workshop on Arithmetic of Finite Fields (WAIFI 2010), Istanbul, Turkey

2009

Anbar, Nurdagül and Stichtenoth, Henning and Tutdere, Seher (2009) On ramification in the compositum of function fields. Bulletin of the Brazilian Mathematical Society, 40 (4). pp. 539-552. ISSN 1678-7544 (Print) 1678-7714 (Online)

Güneri, Cem and Stichtenoth, Henning and Taşkın, İhsan (2009) Further improvements on the designed minimum distance of algebraic geometry codes. Journal of Pure and Applied Algebra, 213 (1). pp. 87-97. ISSN 0022-4049

Stichtenoth, Henning (2009) Algebraic function fields and codes. Graduate Texts in Mathematics, 254. Springer Verlag, Berlin-Heidelberg. ISBN 978-3-540-76877-7

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

Bassa, Alp and Stichtenoth, Henning (2007) A simplified proof for the limit of a tower over a cubic finite field. Journal of Number Theory, 123 (1). pp. 154-169. ISSN 0022-314X

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

Stichtenoth, Henning (2006) Transitive and self-dual codes attaining the Tsfasman-Vladut-Zink bound. IEEE Transactions On Information Theory, 52 (5). pp. 2218-2224. ISSN 0018-9448

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)

Ling, San and Stichtenoth, Henning and Yang, Siman (2005) A class of Artin-Schreier towers with finite genus. Bulletin of the Brazilian Mathematical Society, 36 (3). pp. 393-401. ISSN 1678-7544 (Print) 1678-7714 (Online)

Stichtenoth, Henning and Xing, Chaoping P. (2005) Excellent nonlinear codes from algebraic function fields. IEEE Transactions On Information Theory, 51 (11). pp. 4044-4046. ISSN 0018-9448

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

Banks, William D. and Luca, Florian and Shparlinski, Igor E. and Stichtenoth, Henning (2005) On the value set of n! modulo a prime. Turkish Journal of Mathematics, 29 (2). pp. 169-174. ISSN 1300-0098

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)