Information on Result #644800
Linear OA(1615, 64, F16, 9) (dual of [64, 49, 10]-code), using algebraic-geometric code AG(F,54P) based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [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(1618, 67, F16, 11) (dual of [67, 49, 12]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 2 | Linear OA(1620, 69, F16, 12) (dual of [69, 49, 13]-code) | [i] | ✔ | |
| 3 | Linear OA(1622, 71, F16, 13) (dual of [71, 49, 14]-code) | [i] | ✔ | |
| 4 | Linear OA(1624, 73, F16, 14) (dual of [73, 49, 15]-code) | [i] | ✔ | |
| 5 | Linear OA(1626, 75, F16, 15) (dual of [75, 49, 16]-code) | [i] | ✔ | |
| 6 | Linear OA(16126, 1048636, F16, 24) (dual of [1048636, 1048510, 25]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 7 | Linear OA(16121, 1048636, F16, 23) (dual of [1048636, 1048515, 24]-code) | [i] | ||
| 8 | Linear OA(16116, 1048636, F16, 22) (dual of [1048636, 1048520, 23]-code) | [i] | ||
| 9 | Linear OA(16111, 1048636, F16, 21) (dual of [1048636, 1048525, 22]-code) | [i] | ||
| 10 | Linear OA(16106, 1048636, F16, 20) (dual of [1048636, 1048530, 21]-code) | [i] | ||
| 11 | Linear OOA(1615, 32, F16, 2, 9) (dual of [(32, 2), 49, 10]-NRT-code) | [i] | OOA Folding | |