1 citations · 1 across the 6 of their papers we have counts for
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Some families of non-isomorphic maximal function fields
Peter Beelen, Maria Montanucci, Jonathan Tilling Niemann +1
The problem of understanding whether two given function fields are isomorphic is well-known to be difficult, particularly when the aim is to prove that an isomorphism does not exis…
Cyclotomic function fields over finite fields with irreducible quadratic modulus
Nazar Arakelian, Luciane Quoos
Let be the finite field of order and the rational function field. In this paper, we give a characterization of the cyclotomic function fields…
Reciprocal polynomials and curves with many points over a finite field
Rohit Gupta, Erik A. R. Mendoza, Luciane Quoos
Let be the finite field with elements. We provide a simple and effective method, using reciprocal polynomials, for the construction of algebraic curves over…
Bases for Riemann-Roch spaces of one point divisors on an optimal tower of function fields
Francesco Noseda, Gilvan Oliveira, Luciane Quoos
For applications in algebraic geometric codes, an explicit description of bases of Riemann-Roch spaces of divisors on function fields over finite fields is needed. We give an algor…