Information on Result #622736
Linear OA(2530, 126, F25, 20) (dual of [126, 96, 21]-code), using extended algebraic-geometric code AGe(F,105P) based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
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(560, 252, F5, 20) (dual of [252, 192, 21]-code) | [i] | Trace Code | |
| 2 | Linear OA(25108, 751, F25, 41) (dual of [751, 643, 42]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(25106, 751, F25, 40) (dual of [751, 645, 41]-code) | [i] | ||
| 4 | Linear OA(25108, 754, F25, 41) (dual of [754, 646, 42]-code) | [i] | ||
| 5 | Linear OA(25109, 757, F25, 41) (dual of [757, 648, 42]-code) | [i] | ||
| 6 | Linear OA(25110, 760, F25, 41) (dual of [760, 650, 42]-code) | [i] | ||
| 7 | Linear OA(25106, 754, F25, 40) (dual of [754, 648, 41]-code) | [i] | ||
| 8 | Linear OA(25107, 757, F25, 40) (dual of [757, 650, 41]-code) | [i] | ||
| 9 | Linear OA(25108, 760, F25, 40) (dual of [760, 652, 41]-code) | [i] | ||
| 10 | Linear OA(2535, 141, F25, 20) (dual of [141, 106, 21]-code) | [i] | Varšamov–Edel Lengthening | |
| 11 | Linear OA(2536, 159, F25, 20) (dual of [159, 123, 21]-code) | [i] | ||
| 12 | Linear OOA(2530, 63, F25, 2, 20) (dual of [(63, 2), 96, 21]-NRT-code) | [i] | OOA Folding | |