The algebraic structure of additive codes over 𝔽2𝔽8

DOI10.1142/s0219498824500403MaRDI QIDQ6067638

Xiangdong Cheng

Publication date: 14 December 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

cyclic codegenerator polynomial\( \mathbb{F}_2 \mathbb{F}_8\)-additive code

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Cyclic codes (94B15)

Cites Work

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• \(\mathbb Z_2\mathbb Z_4\)-linear codes: Generator matrices and duality
• \(Z_2Z_4\)-linear codes: rank and kernel
• Optimal binary codes derived from \(\mathbb{F}_2 \mathbb{F}_4\)-additive cyclic codes
• Codes over an infinite family of rings with a Gray map
• \(\mathbb Z_2\mathbb Z_4\mathbb Z_8\)-cyclic codes
• Structure and performance of generalized quasi-cyclic codes
• A Note on One Weight and Two Weight Projective $\mathbb {Z}_{4}$ -Codes
• $\BBZ_{2}\BBZ_{4}$ -Additive Cyclic Codes
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• Quantum error correction via codes over GF(4)
• Z/sub 2/k-linear codes
• Bounds and Optimal $q$ -Ary Codes Derived From the $\mathbb{Z}_qR$ -Cyclic Codes
• On $Z_p Z_{p^k}$ -Additive Codes and Their Duality

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