Information on Result #1290671
Linear OA(16128, 212, F16, 89) (dual of [212, 84, 90]-code), using construction X applied to AG(F,117P) ⊂ AG(F,120P) based on
- linear OA(16126, 207, F16, 89) (dual of [207, 81, 90]-code), using algebraic-geometric code AG(F,117P) [i] based on function field F/F16 with g(F) = 37 and N(F) ≥ 208, using
- linear OA(16123, 207, F16, 86) (dual of [207, 84, 87]-code), using algebraic-geometric code AG(F,120P) [i] based on function field F/F16 with g(F) = 37 and N(F) ≥ 208 (see above)
- linear OA(162, 5, F16, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,16)), using
- discarding factors / shortening the dual code based on linear OA(162, 16, F16, 2) (dual of [16, 14, 3]-code or 16-arc in PG(1,16)), using
- Reed–Solomon code RS(14,16) [i]
- discarding factors / shortening the dual code based on linear OA(162, 16, F16, 2) (dual of [16, 14, 3]-code or 16-arc in PG(1,16)), 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(16128, 106, F16, 2, 89) (dual of [(106, 2), 84, 90]-NRT-code) | [i] | OOA Folding | |