R. Podest'a

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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

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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…

The weight enumerators of irreducible cyclic codes of length 2ℓ

The spectral relation between irreducible cyclic codes and generalized Paley graphs

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