Information on Result #1290504
Linear OA(16125, 197, F16, 90) (dual of [197, 72, 91]-code), using construction X applied to AG(F,101P) ⊂ AG(F,104P) based on
- linear OA(16123, 192, F16, 90) (dual of [192, 69, 91]-code), using algebraic-geometric code AG(F,101P) [i] based on function field F/F16 with g(F) = 33 and N(F) ≥ 193, using
- linear OA(16120, 192, F16, 87) (dual of [192, 72, 88]-code), using algebraic-geometric code AG(F,104P) [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(16125, 98, F16, 2, 90) (dual of [(98, 2), 71, 91]-NRT-code) | [i] | OOA Folding | |