4 papers
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…
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,…
A class of locally recoverable codes over finite chain rings
Giulia Cavicchioni, Eleonora Guerrini, Alessio Meneghetti
Locally recoverable codes deal with the task of reconstructing a lost symbol by relying on a portion of the remaining coordinates smaller than an information set. We consider the c…
The weight distribution of codes over finite chain rings
Giulia Cavicchioni, Alessio Meneghetti
In this work, we determine new linear equations for the weight distribution of linear codes over finite chain rings. The identities are determined by counting the number of some sp…