← Haah cubic code

Entry facet

Parameters & instances

Family variables and every recorded [[n, k, d]] instance.

Family variables

L
Linear period of the cubic three-torus. The constructor accepts integer L at least two, places a pair of qubits at each vertex, and computes the encoded dimension from binary ranks for that exact period.

Recorded instances

Instancenkd
L2_periodicn=16 verifiedk=6 verifiedd=2 verified
L3_periodicn=54 verifiedk=2 verifiedd=[3,9] claimed
L4_periodicn=128 verifiedk=14 verifiedd=[4,16] claimed