Shape enumerators of self-dual NRT codes over finite fields

Published 19 Jan 2024 in cs.IT and math.IT | (2401.10470v2)

Abstract: We use invariant theory of finite groups to study shape enumerators of self-dual linear codes in a finite NRT metric space. We provide a new approach that avoids applying Molien's formula to compute all possible shape enumerators. We also explicitly compute the shape enumerators of some low-dimensional self-dual NRT codes over an arbitrary finite field.

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