Information on Result #660626
Linear OA(998, 236, F9, 46) (dual of [236, 138, 47]-code), using trace code based on linear OA(8149, 118, F81, 46) (dual of [118, 69, 47]-code), using
- construction X applied to AG(F,68P) ⊂ AG(F,70P) [i] based on
- linear OA(8148, 115, F81, 46) (dual of [115, 67, 47]-code), using algebraic-geometric code AG(F,68P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OA(8146, 115, F81, 44) (dual of [115, 69, 45]-code), using algebraic-geometric code AG(F,70P) [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(999, 237, F9, 46) (dual of [237, 138, 47]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(998, 118, F9, 2, 46) (dual of [(118, 2), 138, 47]-NRT-code) | [i] | OOA Folding | |