Information on Result #622475
Linear OA(1619, 65, F16, 13) (dual of [65, 46, 14]-code), using extended algebraic-geometric code AGe(F,51P) 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(1673, 579, F16, 27) (dual of [579, 506, 28]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1695, 4161, F16, 27) (dual of [4161, 4066, 28]-code) | [i] | ||
| 3 | Linear OA(16125, 131139, F16, 27) (dual of [131139, 131014, 28]-code) | [i] | ||
| 4 | Linear OA(1671, 579, F16, 26) (dual of [579, 508, 27]-code) | [i] | ||
| 5 | Linear OA(1692, 4161, F16, 26) (dual of [4161, 4069, 27]-code) | [i] | ||
| 6 | Linear OA(1695, 4164, F16, 27) (dual of [4164, 4069, 28]-code) | [i] | ||
| 7 | Linear OA(1696, 4168, F16, 27) (dual of [4168, 4072, 28]-code) | [i] | ||
| 8 | Linear OA(1697, 4172, F16, 27) (dual of [4172, 4075, 28]-code) | [i] | ||
| 9 | Linear OA(16125, 131141, F16, 27) (dual of [131141, 131016, 28]-code) | [i] | ||
| 10 | Linear OA(1692, 4164, F16, 26) (dual of [4164, 4072, 27]-code) | [i] | ||
| 11 | Linear OA(1693, 4168, F16, 26) (dual of [4168, 4075, 27]-code) | [i] | ||
| 12 | Linear OA(1624, 97, F16, 13) (dual of [97, 73, 14]-code) | [i] | Varšamov–Edel Lengthening | |