Information on Result #1290586
Linear OA(1693, 199, F16, 57) (dual of [199, 106, 58]-code), using construction X applied to AG(F,134P) ⊂ AG(F,138P) based on
- linear OA(1690, 192, F16, 57) (dual of [192, 102, 58]-code), using algebraic-geometric code AG(F,134P) [i] based on function field F/F16 with g(F) = 33 and N(F) ≥ 193, using
- linear OA(1686, 192, F16, 53) (dual of [192, 106, 54]-code), using algebraic-geometric code AG(F,138P) [i] based on function field F/F16 with g(F) = 33 and N(F) ≥ 193 (see above)
- linear OA(163, 7, F16, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,16) or 7-cap in PG(2,16)), using
- discarding factors / shortening the dual code based on linear OA(163, 16, F16, 3) (dual of [16, 13, 4]-code or 16-arc in PG(2,16) or 16-cap in PG(2,16)), using
- Reed–Solomon code RS(13,16) [i]
- discarding factors / shortening the dual code based on linear OA(163, 16, F16, 3) (dual of [16, 13, 4]-code or 16-arc in PG(2,16) or 16-cap in PG(2,16)), using
Mode: 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 OOA(1693, 99, F16, 2, 57) (dual of [(99, 2), 105, 58]-NRT-code) | [i] | OOA Folding | |