Information on Result #738350
Linear OA(9137, 147, F9, 102) (dual of [147, 10, 103]-code), using juxtaposition based on
- linear OA(915, 25, F9, 12) (dual of [25, 10, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(915, 28, F9, 12) (dual of [28, 13, 13]-code), using
- extended algebraic-geometric code AGe(F,15P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric code AGe(F,15P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OA(915, 28, F9, 12) (dual of [28, 13, 13]-code), using
- linear OA(9112, 122, F9, 89) (dual of [122, 10, 90]-code), 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(9137, 147, F9, 101) (dual of [147, 10, 102]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(9137, 147, F9, 100) (dual of [147, 10, 101]-code) | [i] | ||
| 3 | Linear OOA(9137, 49, F9, 3, 102) (dual of [(49, 3), 10, 103]-NRT-code) | [i] | OOA Folding | |