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math.AC2024
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,…
cs.IT2024
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…