Optimal binary codes and binary construction of quantum codes

DOI10.1007/s11704-014-3469-zzbMath1404.81082OpenAlexW2002265167WikidataQ57968773 ScholiaQ57968773MaRDI QIDQ1633059

Ruihu Li, Yangyu Fan, WeiLiang Wang

Publication date: 19 December 2018

Published in: Frontiers of Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11704-014-3469-z

zbMATH Keywords

binary linear codequantum codequasi-cyclic codeSteane constructionbinary self-orthogonal code

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Quantum coding (general) (81P70)

Related Items (2)

A construction of optimal nonbinary pure quantum stabilizer codes ⋮ New binary quantum stabilizer codes from the binary extremal self-dual \([48,24,12\) code]

Uses Software

• Code Tables

Cites Work

• Unnamed Item
• A Mathematical Theory of Communication
• Classification of self-dual codes of length 36
• Classification of the extremal formally self-dual even codes of length 30
• New constructions of optimal self-dual binary codes of length 54
• Quasi-cyclic codes as codes over rings of matrices
• Some optimal self-orthogonal and self-dual codes
• Constructing quasi-cyclic codes from linear algebra theory
• 1-generator quasi-cyclic codes over finite chain rings
• Binary construction of quantum codes of minimum distances five and six
• The Automorphism Group of an Extremal $[{72,36,16}$ Code Does Not Contain $Z_{7}$, $Z_{3}\times Z_{3}$, or $D_{10}$]
• New binary one-generator quasi-cyclic codes
• Binary Construction of Quantum Codes of Minimum Distance Three and Four
• New Quasi-Cyclic Codes From Simplex Codes
• Fundamentals of Error-Correcting Codes
• Error Correcting Codes in Quantum Theory
• Enlargement of Calderbank-Shor-Steane quantum codes
• On the algebraic structure of quasi-cyclic codes .I. Finite fields
• Quantum error correction via codes over GF(4)
• Classification of Extremal and $s$-Extremal Binary Self-Dual Codes of Length 38
• On the Automorphism Group of a Binary Self-Dual Doubly Even $[{72, 36, 16}$ Code]
• Automorphisms of Extremal Self-Dual Codes
• Is there a (72,36) d = 16 self-dual code? (Corresp.)
• QUANTIZATION OF MECHANICAL SYSTEMS WITH FRACTIONAL DERIVATIVES
• Algebraic structure of quasicyclic codes

This page was built for publication: Optimal binary codes and binary construction of quantum codes