Information on Result #656053
Linear OA(12817, 152, F128, 15) (dual of [152, 135, 16]-code), using construction X applied to AG(F,133P) ⊂ AG(F,135P) based on
- linear OA(12816, 149, F128, 15) (dual of [149, 133, 16]-code), using algebraic-geometric code AG(F,133P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OA(12814, 149, F128, 13) (dual of [149, 135, 14]-code), using algebraic-geometric code AG(F,135P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150 (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(3224, 152, S32, 15) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(6420, 152, S64, 15) | [i] | ||
| 3 | Linear OA(12857, 440, F128, 31) (dual of [440, 383, 32]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(12878, 16537, F128, 31) (dual of [16537, 16459, 32]-code) | [i] | ||
| 5 | Linear OA(12856, 440, F128, 30) (dual of [440, 384, 31]-code) | [i] | ||
| 6 | Linear OA(12876, 16536, F128, 30) (dual of [16536, 16460, 31]-code) | [i] | ||
| 7 | Linear OA(12878, 16538, F128, 31) (dual of [16538, 16460, 32]-code) | [i] | ||
| 8 | Linear OA(12876, 16538, F128, 30) (dual of [16538, 16462, 31]-code) | [i] | ||