R. Podest'a

activity

20142026

most citedNew identities for binary Krawtchouk polynomials, binomial coefficients and Catalan numbers

1 citations · 1 across the 6 of their papers we have counts for

collaborators

Showing 2019Show all

4 papers · 1 filter

math.NT2019

A reduction formula for Waring numbers through generalized Paley graphs

Ricardo A. Podestá, Denis E. Videla

We give a reduction formula for the Waring number $g (k, q)$ over a finite field $F_{q}$ . By exploiting the relation between $g (k, q)$ with the diameter of the generalized Pale…

math.CO2019

The weight distribution of irreducible cyclic codes associated with decomposable generalized Paley graphs

Ricardo A. Podestá, Denis E. Videla

We use known characterizations of generalized Paley graphs which are cartesian decomposable to explicitly compute the spectra of the corresponding associated irreducible cyclic cod…

math.NT2019

The Waring's problem over finite fields through generalized Paley graphs

Ricardo A. Podestá, Denis E. Videla

We show that the Waring's number over a finite field $F_{q}$ , denoted $g (k, q)$ , when exists, coincides with the diameter of the generalized Paley graph $Γ(k,q)=Cay(\mathbb{F…

math.CO2019

Weight distribution of cyclic codes defined by quadratic forms and related curves

Ricardo A. Podestá, Denis E. Videla

We consider cyclic codes $C_{L}$ associated to quadratic trace forms in $m$ variables $Q_{R} (x) = Tr_{q^{m} / q} (x R (x))$ determined by a family $\mathcal…