Information on Result #1833297
OOA(27108, 375, S27, 2, 59), using discarding parts of the base based on linear OOA(8181, 375, F81, 2, 59) (dual of [(375, 2), 669, 60]-NRT-code), using
- construction X applied to AG(2;F,678P) ⊂ AG(2;F,685P) [i] based on
- linear OOA(8175, 369, F81, 2, 59) (dual of [(369, 2), 663, 60]-NRT-code), using algebraic-geometric NRT-code AG(2;F,678P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8168, 369, F81, 2, 52) (dual of [(369, 2), 670, 53]-NRT-code), using algebraic-geometric NRT-code AG(2;F,685P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(816, 6, F81, 2, 6) (dual of [(6, 2), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(816, 81, F81, 2, 6) (dual of [(81, 2), 156, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;156,81) [i]
- discarding factors / shortening the dual code based on linear OOA(816, 81, F81, 2, 6) (dual of [(81, 2), 156, 7]-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(27110, 376, S27, 2, 59) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | OOA(27109, 375, S27, 2, 59) | [i] | OOA Duplication | |