Information on Result #644508
Linear OA(926, 42, F9, 17) (dual of [42, 16, 18]-code), using construction X applied to AG(F,21P) ⊂ AG(F,23P) based on
- linear OA(925, 39, F9, 17) (dual of [39, 14, 18]-code), using algebraic-geometric code AG(F,21P) [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
- linear OA(923, 39, F9, 15) (dual of [39, 16, 16]-code), using algebraic-geometric code AG(F,23P) [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40 (see above)
- linear OA(91, 3, F9, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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 OA(999, 124, F9, 59) (dual of [124, 25, 60]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OOA(926, 21, F9, 2, 17) (dual of [(21, 2), 16, 18]-NRT-code) | [i] | OOA Folding | |