2 papers
cs.IT2026
Locality for Codes over the Integers
Giulia Cavicchioni, Eleonora Guerrini, Julien Lavauzelle
In this work, we study the codes over the integers with locality constraints. We introduce a weighted notion of locality over $\mathbb{Z}/q_1\mathbb{Z} \times \cdots \times \mathbb…
math.AC2026
Coarsest Fourier-reflexive Partitions for the Lee, Homogeneous and Subfield Metric
Jessica Bariffi, Giulia Cavicchioni, Violetta Weger
MacWilliams identities relate the weight enumerators of a code with those of its dual and are classically formulated with respect to the Hamming weight. For other metrics, however,…