Information on Result #661672
Linear OA(16117, 140, F16, 78) (dual of [140, 23, 79]-code), using juxtaposition based on
- linear OA(1642, 65, F16, 36) (dual of [65, 23, 37]-code), using
- extended algebraic-geometric code AGe(F,28P) [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,28P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- linear OA(1652, 75, F16, 41) (dual of [75, 23, 42]-code), using
- construction X applied to AG(F,22P) ⊂ AG(F,28P) [i] based on
- linear OA(1647, 64, F16, 41) (dual of [64, 17, 42]-code), using algebraic-geometric code AG(F,22P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(1641, 64, F16, 35) (dual of [64, 23, 36]-code), using algebraic-geometric code AG(F,28P) [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,22P) ⊂ AG(F,28P) [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(16116, 139, F16, 77) (dual of [139, 23, 78]-code) | [i] | Truncation | |
| 2 | Linear OOA(16117, 70, F16, 2, 78) (dual of [(70, 2), 23, 79]-NRT-code) | [i] | OOA Folding | |