Information on Result #658667
Linear OA(1673, 92, F16, 53) (dual of [92, 19, 54]-code), using construction X applied to AG(F,10P) ⊂ AG(F,24P) based on
- linear OA(1658, 64, F16, 53) (dual of [64, 6, 54]-code), using algebraic-geometric code AG(F,10P) with known gap numbers [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(1615, 28, F16, 13) (dual of [28, 13, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(1615, 33, F16, 13) (dual of [33, 18, 14]-code), using
- extended algebraic-geometric code AGe(F,19P) [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(1615, 33, F16, 13) (dual of [33, 18, 14]-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(1673, 46, F16, 2, 53) (dual of [(46, 2), 19, 54]-NRT-code) | [i] | OOA Folding | |