4 citations · 4 across the 5 of their papers we have counts for
7 papers
Waring numbers over finite commutative local rings
Ricardo A. Podestá, Denis E. Videla
In this paper we study Waring numbers for a finite commutative local ring with identity and with . We first relate the Waring n…
Lee metrics on groups
Ricardo A. Podestá, Maximiliano G. Vides
In this work we consider interval metrics on groups; that is, integral invariant metrics whose associated weight functions do not have gaps. We give conditions for a group to have…
Generalized Paley graphs equienergetic with their complements
Ricardo A. Podestá, Denis E. Videla
We consider generalized Paley graphs , generalized Paley sum graphs , and their corresponding complements and , for . Denote b…
Invariant metrics on finite groups
Ricardo A. Podestá, Maximiliano G. Vides
We study invariant and bi-invariant metrics on groups focusing on finite groups . We show that non-equivalent (bi) invariant metrics on are in 1-1 correspondence with unitar…
On cyclic algebraic-geometry codes
Gustavo Cabaña, María Chara, Ricardo A. Podestá +1
In this paper we initiate the study of cyclic algebraic geometry codes. We give conditions to construct cyclic algebraic geometry codes in the context of algebraic function fields…
The conorm code of an AG-code
María Chara, Ricardo A. Podestá, Ricardo Toledano
Given a suitable extension of algebraic function fields over a finite field , we introduce the conorm code defined over w…
The spectra of generalized Paley graphs of -th powers and applications
Ricardo A. Podestá, Denis E. Videla
We consider a special class of generalized Paley graphs over finite fields, namely the Cayley graphs with vertex set and connection set the nonzero -…