Quantum codes over rings
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Publication:2875619
DOI10.1142/S0219749914500208zbMath1295.81045OpenAlexW2134039451MaRDI QIDQ2875619
T. Aaron Gulliver, Kenza Guenda
Publication date: 11 August 2014
Published in: International Journal of Quantum Information (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219749914500208
Related Items (6)
A study of quantum codes obtained from cyclic codes over a non-chain ring ⋮ Nonbinary quantum codes from constacyclic codes over polynomial residue rings ⋮ Narain CFTs from nonbinary stabilizer codes ⋮ Cyclic codes and \(\lambda_1 + \lambda_2 u + \lambda_3 v + \lambda_4 u v\)-constacyclic codes over \(\mathbb{F}_p + u \mathbb{F}_p + v \mathbb{F}_p + u v \mathbb{F}_p\) ⋮ New quantum codes from dual-containing cyclic codes over finite rings ⋮ Quantum codes from \(\mathbb{Z}_2\mathbb{Z}_2[u/\langle u^4 \rangle \)-cyclic codes]
Cites Work
- Mass formula for self-dual codes over Z\( _{p^2}\)
- Matrix-product codes over finite chain rings
- MDS codes over finite principal ideal rings
- Self-dual codes over the integers modulo 4
- Asymptotic bounds on quantum codes from algebraic geometry codes
- Nonbinary Stabilizer Codes Over Finite Fields
- Duality for modules over finite rings and applications to coding theory
- Gray isometries for finite chain rings and a nonlinear ternary (36, 3/sup 12/, 15) code
- Quantum error correction via codes over GF(4)
- Type II codes over F/sub 2/+uF/sub 2/
- Cyclic codes and quadratic residue codes over Z/sub 4/
- Minimum Weights and Weight Enumerators of $\BBZ_{4}$-Linear Quadratic Residue Codes
- Matrix-product codes over \(\mathbb{F}_q\)
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