Information on Result #645672
Linear OA(16123, 239, F16, 76) (dual of [239, 116, 77]-code), using construction X applied to AG(F,147P) ⊂ AG(F,155P) based on
- linear OA(16116, 224, F16, 76) (dual of [224, 108, 77]-code), using algebraic-geometric code AG(F,147P) [i] based on function field F/F16 with g(F) = 40 and N(F) ≥ 225, using
- linear OA(16108, 224, F16, 68) (dual of [224, 116, 69]-code), using algebraic-geometric code AG(F,155P) [i] based on function field F/F16 with g(F) = 40 and N(F) ≥ 225 (see above)
- linear OA(167, 15, F16, 7) (dual of [15, 8, 8]-code or 15-arc in PG(6,16)), using
- discarding factors / shortening the dual code based on linear OA(167, 16, F16, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
- Reed–Solomon code RS(9,16) [i]
- discarding factors / shortening the dual code based on linear OA(167, 16, F16, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), 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(4246, 478, F4, 76) (dual of [478, 232, 77]-code) | [i] | Trace Code | |
| 2 | Linear OOA(16123, 119, F16, 2, 76) (dual of [(119, 2), 115, 77]-NRT-code) | [i] | OOA Folding | |