Information on Result #645476
Linear OA(1699, 125, F16, 63) (dual of [125, 26, 64]-code), using construction X applied to AG(F,0P) ⊂ AG(F,31P) 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(1638, 64, F16, 32) (dual of [64, 26, 33]-code), using algebraic-geometric code AG(F,31P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(1636, 61, F16, 30) (dual of [61, 25, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(1636, 64, F16, 30) (dual of [64, 28, 31]-code), using
- algebraic-geometric code AG(F,33P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- discarding factors / shortening the dual code based on linear OA(1636, 64, F16, 30) (dual of [64, 28, 31]-code), 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(1698, 124, F16, 62) (dual of [124, 26, 63]-code) | [i] | Truncation | |