\(\Lambda_{16}\) Barnes-Wall lattice[1]
Description
BW lattice in dimension \(16\).
Protection
Exhibits the densest known lattice packing in 16 dimensions.'
Parent
Cousins
- Reed-Muller (RM) code — The RM\((1,4)\) code can be used to obtain the \(\Lambda_{16}\) Barnes-Wall lattice code [2; Exam. 10.7.2].
- \(\Lambda_{16}\) lattice-shell code
References
- [1]
- E. S. Barnes and G. E. Wall, “Some extreme forms defined in terms of Abelian groups”, Journal of the Australian Mathematical Society 1, 47 (1959) DOI
- [2]
- T. Ericson, and V. Zinoviev, eds. Codes on Euclidean spheres. Elsevier, 2001.
Page edit log
- Victor V. Albert (2022-11-22) — most recent
Cite as:
“\(\Lambda_{16}\) Barnes-Wall lattice”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/lambda16