Information on Result #661667
Linear OA(16111, 136, F16, 72) (dual of [136, 25, 73]-code), using juxtaposition based on
- linear OA(1640, 65, F16, 34) (dual of [65, 25, 35]-code), using
- extended algebraic-geometric code AGe(F,30P) [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,30P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- linear OA(1646, 71, F16, 37) (dual of [71, 25, 38]-code), using
- construction X applied to AG(F,26P) ⊂ AG(F,30P) [i] based on
- linear OA(1643, 64, F16, 37) (dual of [64, 21, 38]-code), using algebraic-geometric code AG(F,26P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(1639, 64, F16, 33) (dual of [64, 25, 34]-code), using algebraic-geometric code AG(F,30P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (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
- construction X applied to AG(F,26P) ⊂ AG(F,30P) [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(16110, 135, F16, 71) (dual of [135, 25, 72]-code) | [i] | Truncation | |
| 2 | Linear OOA(16111, 68, F16, 2, 72) (dual of [(68, 2), 25, 73]-NRT-code) | [i] | OOA Folding | |