11 citations · 15 across the 6 of their papers we have counts for
7 papers
Gaps in binary cyclotomic polynomials
Antonio Cafure, Eda Cesaratto
For odd prime numbers , let be the binary cyclotomic polynomial of order . In this paper, we prove that the second gap of is the maxi…
Binary Cyclotomic Polynomials: Representation via Words and Algorithms
Antonio Cafure, Eda Cesaratto
Cyclotomic polynomials are basic objects in Number Theory. Their properties depend on the number of distinct primes that intervene in the factorization of their order, and the bina…
Partial characterization of graphs having a single large Laplacian eigenvalue
L. Emilio Allem, Antonio Cafure, Ezequiel Dratman +3
The parameter of a graph stands for the number of Laplacian eigenvalues greater than or equal to the average degree of . In this work, we address the problem of chara…
Polar varieties, Bertini's theorems and number of points of singular complete intersections over a finite field
Antonio Cafure, Guillermo Matera, Melina Privitelli
Let P^n denote the n-dimensional projective space defined over the algebraic closure of a finite field F_q, let V contained P^n be a complete intersection defined over F_q of dimen…
Singularities of symmetric hypersurfaces and an application to Reed-Solomon codes
Antonio Cafure, Guillermo Matera, Melina Privitelli
We determine conditions on q for the nonexistence of deep holes of the standard Reed-Solomon code of dimension k over F_q generated by polynomials of degree k+d. Our conditions rel…
Fast computation of a rational point of a variety over a finite field
Antonio Cafure, Guillermo Matera
We exhibit a probabilistic algorithm which computes a rational point of an absolutely irreducible variety over a finite field defined by a reduced regular sequence. Its time--space…