Optimal binary codes derived from \(\mathbb{F}_2 \mathbb{F}_4\)-additive cyclic codes

DOI10.1007/s12190-020-01344-5zbMath1495.94095OpenAlexW3016168707MaRDI QIDQ2053063

Ismail Aydogdu, Taher Abualrub, Nuh Aydin

Publication date: 29 November 2021

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-020-01344-5

zbMATH Keywords

dualityoptimal codesquantum codes-additive cyclic codes

Mathematics Subject Classification ID

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

Related Items (3)

A family of cyclic codes with two zeros ⋮ The algebraic structure of additive codes over 𝔽2𝔽8 ⋮ Additive polycyclic codes over \(\mathbb{F}_4\) induced by binary vectors and some optimal codes

Uses Software

• Code Tables

Cites Work

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• \(\mathbb Z_2\mathbb Z_4\)-linear codes: Generator matrices and duality
• On constacyclic codes over \(\mathbb{Z}_4 [u / \langle u^2 - 1 \rangle\) and their Gray images]
• A generalization of quasi-twisted codes: multi-twisted codes
• Structure and performance of generalized quasi-cyclic codes
• $\BBZ_{2}\BBZ_{4}$ -Additive Cyclic Codes
• Multiple-particle interference and quantum error correction
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• Gray isometries for finite chain rings and a nonlinear ternary (36, 3/sup 12/, 15) code
• New binary codes from a chain of cyclic codes
• Quantum error correction via codes over GF(4)
• Z/sub 2/k-linear codes
• On $Z_p Z_{p^k}$ -Additive Codes and Their Duality
• On repeated-root cyclic codes
• Repeated-root cyclic codes

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