propelinear.
A code C is propelinear if, for every codeword x in C, there exists a coordinate permutation Pₓ such that x + Pₓ (C) = C and, for any codewords x, y, z, and c in C, if x + Pₓ(y) = z, then P_z(c) is the composition of the permutations Pₓ and P_y(c).
Meaning & usage
A code C is propelinear if, for every codeword x in C, there exists a coordinate permutation Pₓ such that x + Pₓ (C) = C and, for any codewords x, y, z, and c in C, if x + Pₓ(y) = z, then P_z(c) is the composition of the permutations Pₓ and P_y(c).
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Last enriched 2026-09-10. Definitions are in English. Romanizations are shown when supplied by the source; syllable estimates are omitted for unsupported scripts.