Information on Result #622387
Linear OA(1613, 38, F16, 10) (dual of [38, 25, 11]-code), using extended algebraic-geometric code AGe(F,27P) based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
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(1655, 552, F16, 21) (dual of [552, 497, 22]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1671, 4134, F16, 21) (dual of [4134, 4063, 22]-code) | [i] | ||
| 3 | Linear OA(1695, 131112, F16, 21) (dual of [131112, 131017, 22]-code) | [i] | ||
| 4 | Linear OA(16109, 1048614, F16, 21) (dual of [1048614, 1048505, 22]-code) | [i] | ||
| 5 | Linear OA(1653, 552, F16, 20) (dual of [552, 499, 21]-code) | [i] | ||
| 6 | Linear OA(1668, 4134, F16, 20) (dual of [4134, 4066, 21]-code) | [i] | ||
| 7 | Linear OA(16104, 1048614, F16, 20) (dual of [1048614, 1048510, 21]-code) | [i] | ||
| 8 | Linear OA(1671, 4137, F16, 21) (dual of [4137, 4066, 22]-code) | [i] | ||
| 9 | Linear OA(1695, 131114, F16, 21) (dual of [131114, 131019, 22]-code) | [i] | ||
| 10 | Linear OA(1668, 4137, F16, 20) (dual of [4137, 4069, 21]-code) | [i] | ||
| 11 | Linear OA(1678, 103, F16, 45) (dual of [103, 25, 46]-code) | [i] | Juxtaposition | |
| 12 | Linear OA(1678, 102, F16, 46) (dual of [102, 24, 47]-code) | [i] | ||
| 13 | Linear OA(1678, 101, F16, 47) (dual of [101, 23, 48]-code) | [i] | ||
| 14 | Linear OA(1678, 100, F16, 48) (dual of [100, 22, 49]-code) | [i] | ||
| 15 | Linear OA(16128, 4135, F16, 40) (dual of [4135, 4007, 41]-code) | [i] | Construction X with Cyclic Codes | |
| 16 | Linear OA(16122, 4135, F16, 38) (dual of [4135, 4013, 39]-code) | [i] | ||
| 17 | Linear OA(16116, 4135, F16, 36) (dual of [4135, 4019, 37]-code) | [i] | ||
| 18 | Linear OA(16110, 4135, F16, 34) (dual of [4135, 4025, 35]-code) | [i] | ||
| 19 | Linear OA(16104, 4135, F16, 32) (dual of [4135, 4031, 33]-code) | [i] | ||
| 20 | Linear OA(16123, 291, F16, 63) (dual of [291, 168, 64]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 21 | Linear OOA(1613, 19, F16, 2, 10) (dual of [(19, 2), 25, 11]-NRT-code) | [i] | OOA Folding | |