Information on Result #645254
Linear OA(1686, 102, F16, 63) (dual of [102, 16, 64]-code), using construction X applied to AG(F,0P) ⊂ AG(F,21P) 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(1648, 64, F16, 42) (dual of [64, 16, 43]-code), using algebraic-geometric code AG(F,21P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(1623, 38, F16, 20) (dual of [38, 15, 21]-code), using
- extended algebraic-geometric code AGe(F,17P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, 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(1685, 101, F16, 62) (dual of [101, 16, 63]-code) | [i] | Truncation | |
| 2 | Linear OA(1684, 100, F16, 61) (dual of [100, 16, 62]-code) | [i] | ||
| 3 | Linear OA(1683, 99, F16, 60) (dual of [99, 16, 61]-code) | [i] | ||
| 4 | Linear OOA(1686, 51, F16, 2, 63) (dual of [(51, 2), 16, 64]-NRT-code) | [i] | OOA Folding | |