Information on Result #622485
Linear OA(1629, 65, F16, 23) (dual of [65, 36, 24]-code), using extended algebraic-geometric code AGe(F,41P) 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(458, 130, F4, 23) (dual of [130, 72, 24]-code) | [i] | Trace Code | |
| 2 | Linear OA(1682, 130, F16, 47) (dual of [130, 48, 48]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(16123, 579, F16, 47) (dual of [579, 456, 48]-code) | [i] | ||
| 4 | Linear OA(1681, 130, F16, 46) (dual of [130, 49, 47]-code) | [i] | ||
| 5 | Linear OA(16121, 579, F16, 46) (dual of [579, 458, 47]-code) | [i] | ||
| 6 | Linear OA(2181, 325, F2, 47) (dual of [325, 144, 48]-code) | [i] | Concatenation of Two Codes | |
| 7 | Linear OA(4123, 195, F4, 47) (dual of [195, 72, 48]-code) | [i] | ||
| 8 | Linear OOA(2246, 195, F2, 2, 71) (dual of [(195, 2), 144, 72]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |