Information on Result #1833249
OOA(27100, 374, S27, 2, 54), using discarding parts of the base based on linear OOA(8175, 374, F81, 2, 54) (dual of [(374, 2), 673, 55]-NRT-code), using
- construction X applied to AG(2;F,683P) ⊂ AG(2;F,689P) [i] based on
- linear OOA(8170, 369, F81, 2, 54) (dual of [(369, 2), 668, 55]-NRT-code), using algebraic-geometric NRT-code AG(2;F,683P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8164, 369, F81, 2, 48) (dual of [(369, 2), 674, 49]-NRT-code), using algebraic-geometric NRT-code AG(2;F,689P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(815, 5, F81, 2, 5) (dual of [(5, 2), 5, 6]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(815, 81, F81, 2, 5) (dual of [(81, 2), 157, 6]-NRT-code), using
- Reed–Solomon NRT-code RS(2;157,81) [i]
- discarding factors / shortening the dual code based on linear OOA(815, 81, F81, 2, 5) (dual of [(81, 2), 157, 6]-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(27102, 375, S27, 2, 54) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | OOA(27101, 374, S27, 2, 54) | [i] | OOA Duplication | |