Information on Result #645618
Linear OA(16104, 231, F16, 61) (dual of [231, 127, 62]-code), using construction X applied to AG(F,162P) ⊂ AG(F,166P) based on
- linear OA(16101, 224, F16, 61) (dual of [224, 123, 62]-code), using algebraic-geometric code AG(F,162P) [i] based on function field F/F16 with g(F) = 40 and N(F) ≥ 225, using
- linear OA(1697, 224, F16, 57) (dual of [224, 127, 58]-code), using algebraic-geometric code AG(F,166P) [i] based on function field F/F16 with g(F) = 40 and N(F) ≥ 225 (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: 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 OOA(16104, 115, F16, 2, 61) (dual of [(115, 2), 126, 62]-NRT-code) | [i] | OOA Folding | |