3 papers
cs.IT2025
Simultaneous Rational Function Codes: Improved Analysis Beyond Half the Minimum Distance with Multiplicities and Poles
Matteo Abbondati, Eleonora Guerrini, Romain Lebreton
In this paper, we extend the work of Abbondati et al. (2024) on decoding simultaneous rational function codes by addressing two important scenarios: multiplicities and poles (zeros…
cs.IT2025
Simultaneous Rational Number Codes: Decoding Beyond Half the Minimum Distance with Multiplicities and Bad Primes
Matteo Abbondati, Eleonora Guerrini, Romain Lebreton
In this paper, we extend the work of (Abbondati et al., 2024) on decoding simultaneous rational number codes by addressing two important scenarios: multiplicities and the presence…
cs.IT2023
On Dillon's property of -functions
Matteo Abbondati, Marco Calderini, Irene Villa
Dillon observed that an APN function over with greater than must satisfy the condition $\{F(x) + F(y) + F(z) + F(x + y + z) \,:\, x,y,z \in\mathbb{F}…