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Decoding Algorithms for Tensor Codes

Published • Jun 22, 2025
Authors:
Lucien François
,
Eimear Byrne
,
Alain Couvreur

Abstract

Tensor codes are a generalisation of matrix codes. Such codes are defined as subspaces of $r$-th order tensors for which the ambient space is endowed with the tensor-rank as a metric. A class of these codes was introduced by Roth, who outlined a decoding algorithm for low tensor-rank errors for part...

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