\([[288,12,18]]\) double-gross code[1]
Alternative names: \((12,12)\) BB6 code.
Description
A bivariate bicycle (BB) code with parameters \([[288,12,18]]\) and weight-six stabilizer generators [1].
One defining presentation uses \((\ell,m)=(12,12)\) with \(x^{\ell}=y^{m}=1\), and \(A=x^3+y^2+y^7\), \(B=y^3+x+x^2\) in \(\mathbb{F}_2[x,y]/(x^{\ell}-1,y^{m}-1)\) [1][1; Table 3].
Rate
Ancilla-added encoding rate is \(1/48\), using \(n_a=n=288\) ancilla qubits.Primary Hierarchy
Generalized homological-product qubit CSS codeQLDPC Qubit Generalized homological-product CSS Stabilizer Hamiltonian-based QECC Quantum
Bivariate bicycle (BB) codeGeneralized homological-product Lattice stabilizer CSS Stabilizer Hamiltonian-based QECC Quantum
Parents
\([[288,12,18]]\) double-gross code
References
- [1]
- S. Bravyi, A. W. Cross, J. M. Gambetta, D. Maslov, P. Rall, and T. J. Yoder, “High-threshold and low-overhead fault-tolerant quantum memory”, Nature 627, 778 (2024) arXiv:2308.07915 DOI
Page edit log
- Victor V. Albert (2026-03-19) — most recent
Cite as:
“\([[288,12,18]]\) double-gross code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/bb288