\(\mathbb{F}\)-valued trace of a finite-dimensional commutative \(\mathbb{F}\)-algebra

DOI10.1016/j.ffa.2023.102360arXiv2309.09595MaRDI QIDQ6144459

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Publication date: 29 January 2024

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2309.09595

zbMATH Keywords

tracelinear codealgebrassubfieldtrace codegeneralized Frobenius trace

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Linear codes (general theory) (94B05) Other types of codes (94B60)

Cites Work

• A class of constacyclic codes over \(\mathbb F_{p}+v\mathbb F_{p}\) and its Gray image
• Two-weight and three-weight codes from trace codes over \(\mathbb{F}_p + u \mathbb{F}_p + v \mathbb{F}_p + u v \mathbb{F}_p\)
• Linear codes over finite rings are trace codes
• Some results on linear codes over \(\mathbb {F}_p+u\mathbb {F}_p+u^2\mathbb {F}_p\)
• On constacyclic codes over \(\mathbb{Z}_4 [u / \langle u^2 - 1 \rangle\) and their Gray images]
• Fundamentals of Error-Correcting Codes
• The Subfield Codes of Ovoid Codes
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