Information on Result #1290538
Linear OA(1691, 197, F16, 56) (dual of [197, 106, 57]-code), using construction X applied to AG(F,135P) ⊂ AG(F,138P) based on
- linear OA(1689, 192, F16, 56) (dual of [192, 103, 57]-code), using algebraic-geometric code AG(F,135P) [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(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(1691, 98, F16, 2, 56) (dual of [(98, 2), 105, 57]-NRT-code) | [i] | OOA Folding | |