Information on Result #645102
Linear OA(1664, 84, F16, 48) (dual of [84, 20, 49]-code), using construction X applied to AG(F,15P) ⊂ AG(F,25P) based on
- linear OA(1654, 64, F16, 48) (dual of [64, 10, 49]-code), using algebraic-geometric code AG(F,15P) [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(1644, 64, F16, 38) (dual of [64, 20, 39]-code), using algebraic-geometric code AG(F,25P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(1610, 20, F16, 9) (dual of [20, 10, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(1610, 24, F16, 9) (dual of [24, 14, 10]-code), using
- extended algebraic-geometric code AGe(F,14P) [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(1610, 24, F16, 9) (dual of [24, 14, 10]-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(4128, 152, F4, 48) (dual of [152, 24, 49]-code) | [i] | Trace Code | |
| 2 | Linear OOA(1664, 42, F16, 2, 48) (dual of [(42, 2), 20, 49]-NRT-code) | [i] | OOA Folding | |