Word.ws English Dictionary

propelinear

propelinear adjective: 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).

Adjective

propelinear (not comparable)

  1. 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).
    • 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

Questions about propelinear

What does propelinear mean?
Propelinear means 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).
What part of speech is propelinear?
Propelinear is an adjective.

Words near propelinear in the dictionary

  1. propedias
  2. propeds
  3. propel
  4. propelargonidin
  5. propelargonidins
  6. propelinear
  7. propellable
  8. propellane
  9. propellanes
  10. propellant
  11. propellantless

Source and license

Adapted from Wiktionary: propelinear (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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