On Subfields of the Hermitian Function Field

Arnaldo Garcia; Henning Stichtenoth; Chao-Ping Xing

doi:10.1023/A:1001736016924

Garcia, Arnaldo 2001. European Congress of Mathematics. p. 199.

Garcia, Arnaldo 2002. Finite Fields with Applications to Coding Theory, Cryptography and Related Areas. p. 152.

Abdón, Miriam and Quoos, Luciane 2004. On the genera of subfields of the Hermitian function field. Finite Fields and Their Applications, Vol. 10, Issue. 3, p. 271.

KAWAKITA, MOTOKO QIU 2005. A QUOTIENT CURVE OF THE FERMAT CURVE OF DEGREE TWELVE ATTAINING THE SERRE BOUND. Journal of Algebra and Its Applications, Vol. 04, Issue. 02, p. 173.

Xu, L. 2005. Improvement on Parameters of Goppa Geometry Codes From Maximal Curves Using the VlĂduŢ–Xing Method. IEEE Transactions on Information Theory, Vol. 51, Issue. 6, p. 2207.

Moisio, Marko 2005. A construction of a class of maximal Kummer curves. Finite Fields and Their Applications, Vol. 11, Issue. 4, p. 667.

Kawakita, Motoko Qiu 2005. A quotient curve of the Fermat curve of degree twenty-three attaining the Serre bound. Journal of Pure and Applied Algebra, Vol. 196, Issue. 1, p. 101.

Niederreiter, Harald Wang, Huaxiong and Xing, Chaoping 2006. Topics in Geometry, Coding Theory and Cryptography. Vol. 6, Issue. , p. 59.

Güneri, Cem and Özbudak, Ferruh 2006. Topics in Geometry, Coding Theory and Cryptography. Vol. 6, Issue. , p. 105.

Giulietti, M. Hirschfeld, J.W.P. Korchmáros, G. and Torres, F. 2006. Curves covered by the Hermitian curve. Finite Fields and Their Applications, Vol. 12, Issue. 4, p. 539.

Garcia, Arnaldo Kawakita, Motoko Q. and Miura, Shinji 2006. On Certain Subcovers of the Hermitian Curve. Communications in Algebra, Vol. 34, Issue. 3, p. 973.

Garcia, Arnaldo and Özbudak, Ferruh 2007. Some Maximal Function Fields and Additive Polynomials. Communications in Algebra, Vol. 35, Issue. 5, p. 1553.

Çakçak, Emrah and Özbudak, Ferruh 2007. Some Artin–Schreier type function fields over finite fields with prescribed genus and number of rational places. Journal of Pure and Applied Algebra, Vol. 210, Issue. 1, p. 113.

Çakçak, Emrah and Özbudak, Ferruh 2008. Curves related to Coulter's maximal curves. Finite Fields and Their Applications, Vol. 14, Issue. 1, p. 209.

Garcia, Arnaldo and Tafazolian, Saeed 2008. On additive polynomials and certain maximal curves. Journal of Pure and Applied Algebra, Vol. 212, Issue. 11, p. 2513.

Kodama, Tetsuo Top, Jaap and Washio, Tadashi 2009. Maximal hyperelliptic curves of genus three. Finite Fields and Their Applications, Vol. 15, Issue. 3, p. 392.

Borges, Herivelto 2009. On complete (N,d)-arcs derived from plane curves. Finite Fields and Their Applications, Vol. 15, Issue. 1, p. 82.

Xing, Chaoping and Ding, Yang 2009. Multisequences With Large Linear and $k$-Error Linear Complexity From Hermitian Function Fields. IEEE Transactions on Information Theory, Vol. 55, Issue. 8, p. 3858.

KAWAKITA, MOTOKO QIU 2009. ON QUOTIENT CURVES OF THE FERMAT CURVE OF DEGREE TWELVE ATTAINING THE SERRE BOUND. International Journal of Mathematics, Vol. 20, Issue. 05, p. 529.

Re, Riccardo 2009. Supersingular quotients of Fermat curves. Finite Fields and Their Applications, Vol. 15, Issue. 4, p. 450.

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