Denis E. Videla

activity

20122026

most citedIntegral equienergetic non-isospectral unitary Cayley graphs

10 citations · 21 across the 14 of their papers we have counts for

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5 papers · 1 filter

cs.IT2026

The weight enumerators of irreducible cyclic codes of length $2^{ℓ}$

Ricardo A. Podestá, Denis E. Videla

Using the spectral relation between irreducible cyclic codes (ICC) and generalized Paley (GP) graphs recently found by the authors, we study the weight distribution of irreducible…

cs.IT2026

The spectral relation between irreducible cyclic codes and generalized Paley graphs

Ricardo A. Podestá, Denis E. Videla

Let $p$ be a prime and $F_{q} / F_{r}$ a finite field extension with $q = p^{m}$ and $r = p^{s}$ . For any $k ∣ q - 1$ , we consider $r$ -ary irreducible cyclic codes (ICC) of the…

math.CO2026

On the number of solutions of systems of diagonal equations through diagonal GP-graphs: the general and the Hermitian-form cases

Ricardo A. Podestá, Denis E. Videla

For any $m, s \in N$ , we study the number $N_{m \times s, q} (κ, β)$ of solutions $(x_{1}, \dots, x_{s}) \in (F_{q})^{s}$ of the monic system of diagonal equations $$ X_{1}^{…

math.CO2026

On $k$ -th unitary Cayley graphs over finite commutative rings: structure and decompositions

Ricardo A. Podestá, Denis E. Videla

Given $R$ a finite commutative ring with identity and $k \in N$ , we consider the $k$ -th unitary Cayley graph $G_{R} (k) = C a y (R, U_{R, k})$ with $U_{R, k} = {x^{k} : x \in R^{*}}$ ,…

math.CO2026

The nature of the spectrum of generalized Paley graphs and weak Waring numbers over finite fields

Ricardo A. Podestá, Denis E. Videla

We consider the family of generalized Paley graphs (GP-graphs for short) $Γ (k, q) = C a y (F_{q}, (F_{q}^{*})^{k})$ , with $q = p^{m}$ and $p$ prime. We characterize all GP-graphs…

The weight enumerators of irreducible cyclic codes of length 2ℓ

The spectral relation between irreducible cyclic codes and generalized Paley graphs

On the number of solutions of systems of diagonal equations through diagonal GP-graphs: the general and the Hermitian-form cases

On k-th unitary Cayley graphs over finite commutative rings: structure and decompositions

The nature of the spectrum of generalized Paley graphs and weak Waring numbers over finite fields

The weight enumerators of irreducible cyclic codes of length $2^{ℓ}$

On $k$ -th unitary Cayley graphs over finite commutative rings: structure and decompositions