6 papers
Hypergraph encoding set systems and their linear representations
Alberto Besana, Cristina Martinez
We study -designs of parameters over finite fields as group divisible designs and set systems admitting a transitive action of a linear group encoded in an hypergraph…
AGC, t-designs and partition sets
Alberto Besana, Cristina Martínez-Ramírez
AG codes correspond geometrically to points in the Grassmannian of k-planes in an n-dimensional projective space PG(n, F_q) defined over a finite field F_q of q elements. We prove…
Modeling languages from graph networks
Alberto Besana, Cristina Martínez
We model and compute the probability distribution of the letters in random generated words in a language by using the theory of set partitions, Young tableaux and graph theoretical…
Algebraic codes, Horn's problem and Gromov-Witten invariants
Alberto Besana, Cristina Martinez
We study the Horn problem in the context of algebraic codes on a smooth projective curve defined over a finite field, reducing the problem to the representation theory of the speci…
Some remarks on cyclic Galois coverings of the projective line over finite fields
Alberto Besana, Cristina Martinez Ramirez
We study cyclic finite Galois extensions of the rational function field of the projective line P^{1}(F_q) over a finite field F_q with q elements defined by considering quotient cu…
Enumerative geometry of the curves defined by y^{d}=f(x)
Alberto Besana, Cristina Martinez
We study plane algebraic curves defined over a field k of arbitrary characteristic as coverings of the the projective line and the problem of enumerating branched coverings of $\ma…