Information on Result #644979
Linear OA(1676, 84, F16, 63) (dual of [84, 8, 64]-code), using construction X applied to AG(F,0P) ⊂ AG(F,13P) 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(1656, 64, F16, 50) (dual of [64, 8, 51]-code), using algebraic-geometric code AG(F,13P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(1613, 20, F16, 12) (dual of [20, 7, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(1613, 24, F16, 12) (dual of [24, 11, 13]-code), using
- extended algebraic-geometric code AGe(F,11P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(1613, 24, F16, 12) (dual of [24, 11, 13]-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(1675, 83, F16, 62) (dual of [83, 8, 63]-code) | [i] | Truncation | |
| 2 | Linear OOA(1676, 42, F16, 2, 63) (dual of [(42, 2), 8, 64]-NRT-code) | [i] | OOA Folding | |