Information on Result #1832918
OOA(16105, 123, S16, 2, 69), using discarding parts of the base based on linear OOA(3284, 123, F32, 2, 69) (dual of [(123, 2), 162, 70]-NRT-code), using
- construction X applied to AG(2;F,168P) ⊂ AG(2;F,173P) [i] based on
- linear OOA(3280, 119, F32, 2, 69) (dual of [(119, 2), 158, 70]-NRT-code), using algebraic-geometric NRT-code AG(2;F,168P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OOA(3275, 119, F32, 2, 64) (dual of [(119, 2), 163, 65]-NRT-code), using algebraic-geometric NRT-code AG(2;F,173P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OOA(324, 4, F32, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(324, 32, F32, 2, 4) (dual of [(32, 2), 60, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;60,32) [i]
- discarding factors / shortening the dual code based on linear OOA(324, 32, F32, 2, 4) (dual of [(32, 2), 60, 5]-NRT-code), using
Mode: Constructive.
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 | OOA(16107, 124, S16, 2, 69) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | OOA(16106, 123, S16, 2, 69) | [i] | OOA Duplication | |
| 3 | OOA(4210, 246, S4, 2, 69) | [i] | Trace Code for OOAs | |