Information on Result #1833072
OOA(3296, 179, S32, 2, 70), using discarding parts of the base based on linear OOA(6480, 179, F64, 2, 70) (dual of [(179, 2), 278, 71]-NRT-code), using
- construction X applied to AG(2;F,281P) ⊂ AG(2;F,285P) [i] based on
- linear OOA(6477, 176, F64, 2, 70) (dual of [(176, 2), 275, 71]-NRT-code), using algebraic-geometric NRT-code AG(2;F,281P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6473, 176, F64, 2, 66) (dual of [(176, 2), 279, 67]-NRT-code), using algebraic-geometric NRT-code AG(2;F,285P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(643, 3, F64, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(643, 64, F64, 2, 3) (dual of [(64, 2), 125, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;125,64) [i]
- discarding factors / shortening the dual code based on linear OOA(643, 64, F64, 2, 3) (dual of [(64, 2), 125, 4]-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(3298, 180, S32, 2, 70) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | OOA(3297, 179, S32, 2, 70) | [i] | OOA Duplication | |