Information on Result #622493
Linear OA(1637, 65, F16, 31) (dual of [65, 28, 32]-code), using extended algebraic-geometric code AGe(F,33P) 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(16102, 130, F16, 63) (dual of [130, 28, 64]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(474, 130, F4, 31) (dual of [130, 56, 32]-code) | [i] | Trace Code | |
| 3 | Linear OA(16101, 130, F16, 63) (dual of [130, 29, 64]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(1654, 98, F16, 31) (dual of [98, 44, 32]-code) | [i] | ||
| 5 | Linear OA(1655, 103, F16, 31) (dual of [103, 48, 32]-code) | [i] | ||
| 6 | Linear OA(1656, 110, F16, 31) (dual of [110, 54, 32]-code) | [i] | ||
| 7 | Linear OA(2213, 325, F2, 63) (dual of [325, 112, 64]-code) | [i] | Concatenation of Two Codes | |
| 8 | Linear OA(4139, 195, F4, 63) (dual of [195, 56, 64]-code) | [i] | ||
| 9 | Linear OA(16100, 129, F16, 61) (dual of [129, 29, 62]-code) | [i] | Construction X with Algebraic-Geometric Codes | |