Items where Author is "Stichtenoth, Henning"

Article

Anbar Meidl, Nurdagül and Stichtenoth, Henning and Tutdere, Seher (2021) Asymptotically good towers of function fields with small p-rank. Finite Fields and Their Applications, 76 . ISSN 1071-5797 (Print) 1090-2465 (Online)

Kalaycı, Tekgül and Stichtenoth, Henning and Topuzoğlu, Alev (2020) Permutation polynomials and factorization. Cryptography and Communications, 12 (5). pp. 913-934. ISSN 1936-2447 (Print) 1936-2455 (Online)

Kalaycı, Tekgül and Stichtenoth, Henning and Topuzoğlu, Alev (2020) Irreducible factors of a class of permutation polynomials. Finite Fields and Their Applications, 63 . ISSN 1071-5797 (Print) 1090-2465 (Online)

Bassa, Alp and Stichtenoth, Henning (2019) Self-dual codes better than the Gilbert-Varshamov bound. Designs, Codes, and Cryptography, 87 (1). pp. 173-182. ISSN 0925-1022 (Print) 1573-7586 (Online)

Ben-Sasson, Eli and Kaplan, Yohay and Kopparty, Swastik and Meir, Or and Stichtenoth, Henning (2016) Constant rate PCPs for circuit-SAT with sublinear query complexity. Journal of the ACM, 63 (4). pp. 1-57. ISSN 0004-5411 (Print) 1557-735X (Online)

Ateş, Leyla and Stichtenoth, Henning (2016) A note on short vectors in lattices from function fields. Finite Fields and Their Applications, 39 . pp. 264-271. ISSN 1071-5797 (Print) 1090-2465 (Online)

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)

Stichtenoth, Henning and Tutdere, Seher (2015) Quadratic recursive towers of function fields over F-2. Turkish Journal of Mathematics, 39 (5). pp. 665-682. ISSN 1300-0098 (Print) 1303-6149 (Online)

Stichtenoth, Henning (2014) A note on composed products of polynomials over finite fields. Designs, Codes, and Cryptography, 73 (1). pp. 27-32. ISSN 0925-1022 (Print) 1573-7586 (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)

Anbar, Nurdagül and Stichtenoth, Henning (2013) Curves of every genus with a prescribed number of rational points. Bulletin of the Brazilian Mathematical Society, 44 (2). pp. 173-193. ISSN 1678-7544 (Print) 1678-7714 (Online)

Hess, Florian and Stichtenoth, Henning and Tutdere, Seher (2013) On invariants of towers of function fields over finite fields. Journal of Algebra and Its Applications, 12 (4). ISSN 0219-4988 (Print) 1793-6829 (Online)

Anbar, Nurdagül and Stichtenoth, Henning (2013) On the number of rational points of curves over finite fields. Electronic Notes in Discrete Mathematics, 40 . pp. 21-26. ISSN 1571-0653

Güneri, Cem and Özdemir, Mehmet and Stichtenoth, Henning (2013) The automorphism group of the generalized Giulietti-Korchmaros function field. Advances in Geometry, 13 (2). pp. 369-380. ISSN 1615-715X (Print) 1615-7168 (Online)

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

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)

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

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

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 (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)

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

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)

Papers in Conference Proceedings

Ben-Sasson, Eli and Kaplan, Yohay and Kopparty, Swastik and Meir, Or and Stichtenoth, Henning (2013) Constant rate PCPs for circuit-SAT with sublinear query complexity. In: FOCS 2013 IEEE Symposium on Foundations of Computer Science, Berkeley, USA (Accepted)

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

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

Book

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

Book Section / Chapter

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 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

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

Volumes Edited / Special Issues

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