Information on Result #656197
Linear OA(12817, 194, F128, 13) (dual of [194, 177, 14]-code), using construction X applied to AG(F,177P) ⊂ AG(F,179P) based on
- linear OA(12816, 191, F128, 13) (dual of [191, 175, 14]-code), using algebraic-geometric code AG(F,177P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- linear OA(12814, 191, F128, 11) (dual of [191, 177, 12]-code), using algebraic-geometric code AG(F,179P) [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(6420, 194, S64, 13) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OA(12848, 388, F128, 27) (dual of [388, 340, 28]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(12849, 410, F128, 27) (dual of [410, 361, 28]-code) | [i] | ||
| 4 | Linear OA(12870, 16579, F128, 27) (dual of [16579, 16509, 28]-code) | [i] | ||
| 5 | Linear OA(12868, 16578, F128, 26) (dual of [16578, 16510, 27]-code) | [i] | ||
| 6 | Linear OA(12870, 16580, F128, 27) (dual of [16580, 16510, 28]-code) | [i] | ||
| 7 | Linear OA(12868, 16580, F128, 26) (dual of [16580, 16512, 27]-code) | [i] | ||