Information on Result #656187
Linear OA(12822, 194, F128, 18) (dual of [194, 172, 19]-code), using construction X applied to AG(F,172P) ⊂ AG(F,174P) based on
- linear OA(12821, 191, F128, 18) (dual of [191, 170, 19]-code), using algebraic-geometric code AG(F,172P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- linear OA(12819, 191, F128, 16) (dual of [191, 172, 17]-code), using algebraic-geometric code AG(F,174P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192 (see above)
- linear OA(1281, 3, F128, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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 | OA(3231, 194, S32, 18) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(6426, 194, S64, 18) | [i] | ||
| 3 | Linear OA(12863, 388, F128, 37) (dual of [388, 325, 38]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(12864, 410, F128, 37) (dual of [410, 346, 38]-code) | [i] | ||
| 5 | Linear OA(12868, 482, F128, 37) (dual of [482, 414, 38]-code) | [i] | ||
| 6 | Linear OA(12867, 482, F128, 36) (dual of [482, 415, 37]-code) | [i] | ||