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Lattice-based code
Encodes states (codewords) in coordinates of a lattice in the \(n\)-dimensional real coordinate space \(\mathbb{R}^n\). The number of codewords may be infinite because the coordinate space is infinite-dimensional, so various restricted versions have to be constructed in practice. Since lattices are closed under addition, lattice-based codes can be thought of as linear codes over the reals.
Parents:
Error-correcting code (ECC).
Cousins:
Linear binary code.
Cousin of:
Group-based code, Multi-mode GKP code.