Now showing items 1-3 of 3

    • Explicit maximal and minimal curves over finite fields of odd characteristics 

      Ozbudak, Ferruh; Saygı, Zülfükar (Academic Press Inc Elsevier Science, 2016-11)
      In this work we present explicit classes of maximal and minimal Artin-Schreier type curves over finite fields having odd characteristics. Our results include the proof of Conjecture 5.9 given in [1] as a very special ...
    • Further results on rational points of the curve y(qn) - y = gamma xqh+1 - alpha over F-qm 

      Cosgun, Ayhan; Saygı, Zülfükar; Ozbudak, Ferruh (Springer, 2016-06)
      Let q be a positive power of a prime number. For arbitrary positive integers h, n, m with n dividing m and arbitrary gamma, alpha is an element of F-qm with gamma not equal 0 the number of F-qm - rational points of the ...
    • L-Polynomials of the Curve 

      Ozbudak, Ferruh; Saygı, Zülfükar (Springer Verlag, 2015)
      Let chi be a smooth, geometrically irreducible and projective curve over a finite field F-q of odd characteristic. The L-polynomial L-chi(t) of chi determines the number of rational points of chi not only over F-q but also ...