Information on Result #2254640
Linear OA(1682, 96, F16, 62) (dual of [96, 14, 63]-code), using 1 times truncation based on linear OA(1683, 97, F16, 63) (dual of [97, 14, 64]-code), using
- construction X applied to AG(F,0P) ⊂ AG(F,19P) [i] 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(1650, 64, F16, 44) (dual of [64, 14, 45]-code), using algebraic-geometric code AG(F,19P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(1620, 33, F16, 18) (dual of [33, 13, 19]-code), using
- extended algebraic-geometric code AGe(F,14P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- 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
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 OOA(1682, 48, F16, 2, 62) (dual of [(48, 2), 14, 63]-NRT-code) | [i] | OOA Folding | |