Information on Result #645262
Linear OA(1672, 95, F16, 50) (dual of [95, 23, 51]-code), using construction X applied to AG(F,13P) ⊂ AG(F,28P) based on
- 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, using
- the Hermitian function field over F16 [i]
- linear OA(1641, 64, F16, 35) (dual of [64, 23, 36]-code), using algebraic-geometric code AG(F,28P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(1616, 31, F16, 14) (dual of [31, 15, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(1616, 33, F16, 14) (dual of [33, 17, 15]-code), using
- extended algebraic-geometric code AGe(F,18P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OA(1616, 33, F16, 14) (dual of [33, 17, 15]-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 OOA(1672, 47, F16, 2, 50) (dual of [(47, 2), 22, 51]-NRT-code) | [i] | OOA Folding | |