Qadratic residue codes over 𝔽p + u𝔽p + v𝔽p∗

DOI10.1142/S1793557121501746zbMath1482.94088OpenAlexW3114447271MaRDI QIDQ5013418

Ashish Kumar Upadhyay, Gobinda Ghosh, Bhanu Pratap Yadav, Sachin Pathak

Publication date: 30 November 2021

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557121501746

zbMATH Keywords

cyclic codesdual codesgenerating idempotentsQR codes

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Applications of graph theory to circuits and networks (94C15) Arithmetic codes (94B40)

Uses Software

• Magma

Cites Work

• New extremal binary self-dual codes of length 68 from quadratic residue codes over \(\mathbb{F}_2 + u \mathbb{F}_2 + u^2 \mathbb{F}_2\)
• Applications of coding theory to the construction of modular lattices
• \(\mathbb Z_8\)-cyclic codes and quadratic residue codes
• Quadratic residue codes over the ring \(\mathbb {F}_{p}[u/\langle u^{m}-u\rangle \) and their Gray images]
• Quadratic residue codes over \(\mathbb{F}_p + v \mathbb{F}_p\) and their Gray images
• QUADRATIC RESIDUE CODES OVER ℤ₉
• Quaternary quadratic residue codes and unimodular lattices
• Cyclic codes and quadratic residue codes over Z/sub 4/
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