Information on Result #661675
Linear OA(16118, 140, F16, 80) (dual of [140, 22, 81]-code), using juxtaposition based on
- linear OA(1643, 65, F16, 37) (dual of [65, 22, 38]-code), using
- extended algebraic-geometric code AGe(F,27P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- extended algebraic-geometric code AGe(F,27P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- linear OA(1653, 75, F16, 42) (dual of [75, 22, 43]-code), using
- construction X applied to AG(F,21P) ⊂ AG(F,27P) [i] based on
- linear OA(1648, 64, F16, 42) (dual of [64, 16, 43]-code), using algebraic-geometric code AG(F,21P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(1642, 64, F16, 36) (dual of [64, 22, 37]-code), using algebraic-geometric code AG(F,27P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(165, 11, F16, 5) (dual of [11, 6, 6]-code or 11-arc in PG(4,16)), using
- discarding factors / shortening the dual code based on linear OA(165, 16, F16, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,16)), using
- Reed–Solomon code RS(11,16) [i]
- discarding factors / shortening the dual code based on linear OA(165, 16, F16, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,16)), using
- construction X applied to AG(F,21P) ⊂ AG(F,27P) [i] based on
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 OA(16118, 140, F16, 79) (dual of [140, 22, 80]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(16117, 139, F16, 79) (dual of [139, 22, 80]-code) | [i] | Truncation | |
| 3 | Linear OOA(16118, 70, F16, 2, 80) (dual of [(70, 2), 22, 81]-NRT-code) | [i] | OOA Folding | |