Information on Result #929409
Linear OOA(1665, 73, F16, 2, 50) (dual of [(73, 2), 81, 51]-NRT-code), using construction X applied to AG(2;F,77P) ⊂ AG(2;F,87P) based on
- linear OOA(1656, 64, F16, 2, 50) (dual of [(64, 2), 72, 51]-NRT-code), using algebraic-geometric NRT-code AG(2;F,77P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- linear OOA(1646, 64, F16, 2, 40) (dual of [(64, 2), 82, 41]-NRT-code), using algebraic-geometric NRT-code AG(2;F,87P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OOA(169, 9, F16, 2, 9) (dual of [(9, 2), 9, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(169, 16, F16, 2, 9) (dual of [(16, 2), 23, 10]-NRT-code), using
- Reed–Solomon NRT-code RS(2;23,16) [i]
- discarding factors / shortening the dual code based on linear OOA(169, 16, F16, 2, 9) (dual of [(16, 2), 23, 10]-NRT-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(4130, 146, F4, 2, 50) (dual of [(146, 2), 162, 51]-NRT-code) | [i] | Trace Code for OOAs | |