Information on Result #656041
Linear OA(12823, 152, F128, 21) (dual of [152, 129, 22]-code), using construction X applied to AG(F,127P) ⊂ AG(F,129P) based on
- linear OA(12822, 149, F128, 21) (dual of [149, 127, 22]-code), using algebraic-geometric code AG(F,127P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OA(12820, 149, F128, 19) (dual of [149, 129, 20]-code), using algebraic-geometric code AG(F,129P) [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(6427, 152, S64, 21) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OA(12869, 344, F128, 43) (dual of [344, 275, 44]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(12875, 440, F128, 43) (dual of [440, 365, 44]-code) | [i] | ||
| 4 | Linear OA(12874, 440, F128, 42) (dual of [440, 366, 43]-code) | [i] | ||
| 5 | Linear OA(12834, 302, F128, 21) (dual of [302, 268, 22]-code) | [i] | ||