Meanings
adjectivepropelinear (not comparable)
- not comparablemathematicsA 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).
In the paper a classification of the propelinear structures on the Nordstrom-Robinson code is obtained and the question of extension of these structures to propelinear structures of the Hamming code, that contains the Nordstrom-Robinson code.
2015, I. Yu. Mogilnykh, “On the extention^([sic]) of propelinear structures of Nordstrom-Robinson code to Hamming code”, in arXiv
Cite this entry
APA
propelinear. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/propelinear
MLA
“propelinear.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/propelinear. Accessed November 3, 2026.
Chicago
WatkinsX Dictionary, s.v. “propelinear,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/propelinear.
Source: propelinear on Wiktionary, CC BY-SA 4.0.