Information on Result #656203
Linear OA(12814, 194, F128, 10) (dual of [194, 180, 11]-code), using construction X applied to AG(F,180P) ⊂ AG(F,182P) based on
- linear OA(12813, 191, F128, 10) (dual of [191, 178, 11]-code), using algebraic-geometric code AG(F,180P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- linear OA(12811, 191, F128, 8) (dual of [191, 180, 9]-code), using algebraic-geometric code AG(F,182P) [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 | Linear OA(12855, 16579, F128, 21) (dual of [16579, 16524, 22]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(12875, 2097347, F128, 21) (dual of [2097347, 2097272, 22]-code) | [i] | ||
| 3 | Linear OA(12853, 16578, F128, 20) (dual of [16578, 16525, 21]-code) | [i] | ||
| 4 | Linear OA(12872, 2097346, F128, 20) (dual of [2097346, 2097274, 21]-code) | [i] | ||
| 5 | Linear OA(12855, 16580, F128, 21) (dual of [16580, 16525, 22]-code) | [i] | ||
| 6 | Linear OA(12875, 2097349, F128, 21) (dual of [2097349, 2097274, 22]-code) | [i] | ||
| 7 | Linear OA(12853, 16580, F128, 20) (dual of [16580, 16527, 21]-code) | [i] | ||
| 8 | Linear OA(12872, 2097349, F128, 20) (dual of [2097349, 2097277, 21]-code) | [i] | ||