Information on Result #644451
Linear OA(926, 27, F9, 26) (dual of [27, 1, 27]-code or 27-arc in PG(25,9)), using algebraic-geometric code AG(F,0P) based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(926, 27, F9, 25) (dual of [27, 1, 26]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(931, 35, F9, 26) (dual of [35, 4, 27]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 3 | Linear OA(931, 37, F9, 24) (dual of [37, 6, 25]-code) | [i] | ✔ | |
| 4 | Linear OA(936, 44, F9, 26) (dual of [44, 8, 27]-code) | [i] | ✔ | |
| 5 | Linear OA(936, 45, F9, 25) (dual of [45, 9, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(936, 46, F9, 24) (dual of [46, 10, 25]-code) | [i] | ✔ | |
| 7 | Linear OA(932, 38, F9, 25) (dual of [38, 6, 26]-code) | [i] | ✔ | Construction XX with a Chain of Algebraic-Geometric Codes |
| 8 | Linear OA(937, 46, F9, 26) (dual of [46, 9, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(937, 47, F9, 25) (dual of [47, 10, 26]-code) | [i] | ✔ | |
| 10 | Linear OA(979, 1331, F9, 26) (dual of [1331, 1252, 27]-code) | [i] | Varšamov–Edel Lengthening | |