Information on Result #660531
Linear OA(940, 236, F9, 17) (dual of [236, 196, 18]-code), using trace code based on linear OA(8120, 118, F81, 17) (dual of [118, 98, 18]-code), using
- construction X applied to AG(F,97P) ⊂ AG(F,99P) [i] based on
- linear OA(8119, 115, F81, 17) (dual of [115, 96, 18]-code), using algebraic-geometric code AG(F,97P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OA(8117, 115, F81, 15) (dual of [115, 98, 16]-code), using algebraic-geometric code AG(F,99P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116 (see above)
- linear OA(811, 3, F81, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(941, 237, F9, 17) (dual of [237, 196, 18]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(940, 236, F9, 2, 17) (dual of [(236, 2), 432, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(940, 118, F9, 2, 17) (dual of [(118, 2), 196, 18]-NRT-code) | [i] | OOA Folding | |