Nonbinary quantum codes derived from finite geometries

DOI10.1016/j.ffa.2011.06.004zbMath1237.05029OpenAlexW1987960317MaRDI QIDQ661977

David Clark, Vladimir D. Tonchev

Publication date: 11 February 2012

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2011.06.004

zbMATH Keywords

finite geometrycombinatorial designquantum communicationerror-correcting codequantum codequantum stabilizer code

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Finite affine and projective planes (geometric aspects) (51E15) Combinatorial aspects of finite geometries (05B25) Combinatorial codes (94B25) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (1)

Constructions of new quantum burst-correcting codes

Cites Work

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• On the p-rank of the incidence matrix of a balanced or partially balanced incomplete block design and its applications to error correcting codes
• Minimum weight and dimension formulas for some geometric codes
• Nonbinary Stabilizer Codes Over Finite Fields
• Quantum twisted codes
• Error Correcting Codes in Quantum Theory
• Quantum error correction via codes over GF(4)
• Quantum Reed-Muller codes
• A characterization of flat spaces in a finite geometry and the uniqueness of the hamming and the MacDonald codes
• On the p-rank of the incidence matrix of points and hyperplanes in a finite projective geometry

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