3 citations · 3 across the 2 of their papers we have counts for
3 papers
math.GM2024
A characterization and an explicit description of all primitive polynomials of degree two over finite fields
Gerardo Vega
For polynomials of degree two over finite fields, we present an improvement of Fitzgerald's characterization (Finite Fields Appl. 9(1):117-121, 2003). We then use this new characte…
cs.IT2021
Optimal three-weight cyclic codes whose duals are also optimal
Gerardo Vega, Félix Hernández
A class of optimal three-weight cyclic codes of dimension 3 over any finite field was presented by Vega [Finite Fields Appl., 42 (2016) 23-38]. Shortly thereafter, Heng and Yue [IE…
cs.IT2016★ 3 cited
Determining the full weight distribution of any irreducible cyclic code over any finite field of dimension two
Gerardo Vega
In coding theory, a very interesting problem (but at the same time, a very difficult one) is to determine the weight distribution of a given code. This problem is even more interes…