Information on Result #658586
Linear OA(925, 29, F9, 22) (dual of [29, 4, 23]-code), using construction X applied to AG(F,4P) ⊂ AG(F,6P) based on
- linear OA(924, 27, F9, 22) (dual of [27, 3, 23]-code), using algebraic-geometric code AG(F,4P) with known gap numbers [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using the Hermitian function field over F9 [i]
- linear OA(923, 27, F9, 20) (dual of [27, 4, 21]-code), using algebraic-geometric code AG(F,6P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28 (see above)
- linear OA(91, 2, F9, 1) (dual of [2, 1, 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(9140, 145, F9, 114) (dual of [145, 5, 115]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(9107, 111, F9, 94) (dual of [111, 4, 95]-code) | [i] | Juxtaposition | |
| 3 | Linear OA(9117, 121, F9, 102) (dual of [121, 4, 103]-code) | [i] | ||
| 4 | Linear OOA(3166, 87, F3, 2, 114) (dual of [(87, 2), 8, 115]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 5 | Linear OOA(3224, 116, F3, 2, 160) (dual of [(116, 2), 8, 161]-NRT-code) | [i] | ||
| 6 | Linear OOA(925, 14, F9, 2, 22) (dual of [(14, 2), 3, 23]-NRT-code) | [i] | OOA Folding | |