Information on Result #645392
Linear OA(1692, 113, F16, 62) (dual of [113, 21, 63]-code), using construction X applied to AG(F,0P) ⊂ AG(F,26P) based on
- linear OA(1663, 64, F16, 63) (dual of [64, 1, 64]-code or 64-arc in PG(62,16)), using algebraic-geometric code AG(F,0P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- 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(1629, 49, F16, 24) (dual of [49, 20, 25]-code), using
- extended algebraic-geometric code AGe(F,24P) [i] based on function field F/F16 with g(F) = 5 and N(F) ≥ 49, 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 OA(1691, 112, F16, 61) (dual of [112, 21, 62]-code) | [i] | Truncation | |
| 2 | Linear OA(1690, 111, F16, 60) (dual of [111, 21, 61]-code) | [i] | ||