Information on Result #645347
Linear OA(1690, 109, F16, 63) (dual of [109, 19, 64]-code), using construction X applied to AG(F,0P) ⊂ AG(F,24P) 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(1645, 64, F16, 39) (dual of [64, 19, 40]-code), using algebraic-geometric code AG(F,24P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(1627, 45, F16, 23) (dual of [45, 18, 24]-code), using
- extended algebraic-geometric code AGe(F,21P) [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, 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(1689, 108, F16, 62) (dual of [108, 19, 63]-code) | [i] | Truncation | |
| 2 | Linear OA(1688, 107, F16, 61) (dual of [107, 19, 62]-code) | [i] | ||
| 3 | Linear OA(1687, 106, F16, 60) (dual of [106, 19, 61]-code) | [i] | ||