Information on Result #645463
Linear OA(1698, 123, F16, 63) (dual of [123, 25, 64]-code), using construction X applied to AG(F,0P) ⊂ AG(F,30P) 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(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(1635, 59, F16, 29) (dual of [59, 24, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(1635, 64, F16, 29) (dual of [64, 29, 30]-code), using
- algebraic-geometric code AG(F,34P) [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(1635, 64, F16, 29) (dual of [64, 29, 30]-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(1697, 122, F16, 62) (dual of [122, 25, 63]-code) | [i] | Truncation | |
| 2 | Linear OA(1696, 121, F16, 61) (dual of [121, 25, 62]-code) | [i] | ||
| 3 | Linear OA(1695, 120, F16, 60) (dual of [120, 25, 61]-code) | [i] | ||