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1. The weight distribution of codes over finite chain rings.

Author

Cavicchioni, Giulia and Meneghetti, Alessio

Subjects
*FINITE rings, *PARITY-check matrix, *LINEAR codes, *TWO-dimensional bar codes, *LINEAR equations
Abstract

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 special submatrices of the parity-check matrix of the code. Thanks to these relations we are able to compute the full weight distribution of codes with small Singleton defects, such as MDS, MDR and AMDR codes. [ABSTRACT FROM AUTHOR]

Published
2023
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