Information on Result #622477
Linear OA(1621, 65, F16, 15) (dual of [65, 44, 16]-code), using extended algebraic-geometric code AGe(F,49P) 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(442, 130, F4, 15) (dual of [130, 88, 16]-code) | [i] | Trace Code | |
| 2 | Linear OA(1683, 579, F16, 31) (dual of [579, 496, 32]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(1685, 585, F16, 31) (dual of [585, 500, 32]-code) | [i] | ||
| 4 | Linear OA(16109, 4161, F16, 31) (dual of [4161, 4052, 32]-code) | [i] | ||
| 5 | Linear OA(1681, 579, F16, 30) (dual of [579, 498, 31]-code) | [i] | ||
| 6 | Linear OA(1683, 585, F16, 30) (dual of [585, 502, 31]-code) | [i] | ||
| 7 | Linear OA(16106, 4161, F16, 30) (dual of [4161, 4055, 31]-code) | [i] | ||
| 8 | Linear OA(16109, 4164, F16, 31) (dual of [4164, 4055, 32]-code) | [i] | ||
| 9 | Linear OA(16110, 4168, F16, 31) (dual of [4168, 4058, 32]-code) | [i] | ||
| 10 | Linear OA(16111, 4172, F16, 31) (dual of [4172, 4061, 32]-code) | [i] | ||
| 11 | Linear OA(16112, 4176, F16, 31) (dual of [4176, 4064, 32]-code) | [i] | ||
| 12 | Linear OA(16106, 4164, F16, 30) (dual of [4164, 4058, 31]-code) | [i] | ||
| 13 | Linear OA(16107, 4168, F16, 30) (dual of [4168, 4061, 31]-code) | [i] | ||
| 14 | Linear OA(16108, 4172, F16, 30) (dual of [4172, 4064, 31]-code) | [i] | ||
| 15 | Linear OA(16109, 4176, F16, 30) (dual of [4176, 4067, 31]-code) | [i] | ||
| 16 | Linear OA(1627, 93, F16, 15) (dual of [93, 66, 16]-code) | [i] | Varšamov–Edel Lengthening | |
| 17 | Linear OA(16130, 4161, F16, 39) (dual of [4161, 4031, 40]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 18 | Linear OA(16127, 4161, F16, 38) (dual of [4161, 4034, 39]-code) | [i] | ||
| 19 | Linear OA(16124, 4161, F16, 37) (dual of [4161, 4037, 38]-code) | [i] | ||
| 20 | Linear OA(16121, 4161, F16, 36) (dual of [4161, 4040, 37]-code) | [i] | ||
| 21 | Linear OA(16118, 4161, F16, 35) (dual of [4161, 4043, 36]-code) | [i] | ||
| 22 | Linear OA(16115, 4161, F16, 34) (dual of [4161, 4046, 35]-code) | [i] | ||
| 23 | Linear OA(16112, 4161, F16, 33) (dual of [4161, 4049, 34]-code) | [i] | ||