Information on Result #644520
Linear OA(929, 44, F9, 19) (dual of [44, 15, 20]-code), using construction X applied to AG(F,19P) ⊂ AG(F,22P) based on
- linear OA(927, 39, F9, 19) (dual of [39, 12, 20]-code), using algebraic-geometric code AG(F,19P) [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
- linear OA(924, 39, F9, 16) (dual of [39, 15, 17]-code), using algebraic-geometric code AG(F,22P) [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40 (see above)
- linear OA(92, 5, F9, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,9)), using
- discarding factors / shortening the dual code based on linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), using
- Reed–Solomon code RS(7,9) [i]
- discarding factors / shortening the dual code based on linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(929, 22, F9, 2, 19) (dual of [(22, 2), 15, 20]-NRT-code) | [i] | OOA Folding | |