Information on Result #1833247
OOA(27100, 376, S27, 2, 52), using discarding parts of the base based on linear OOA(8175, 376, F81, 2, 52) (dual of [(376, 2), 677, 53]-NRT-code), using
- construction X applied to AG(2;F,685P) ⊂ AG(2;F,693P) [i] based on
- 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, using
- linear OOA(8160, 369, F81, 2, 44) (dual of [(369, 2), 678, 45]-NRT-code), using algebraic-geometric NRT-code AG(2;F,693P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(817, 7, F81, 2, 7) (dual of [(7, 2), 7, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(817, 81, F81, 2, 7) (dual of [(81, 2), 155, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(2;155,81) [i]
- discarding factors / shortening the dual code based on linear OOA(817, 81, F81, 2, 7) (dual of [(81, 2), 155, 8]-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, 377, S27, 2, 52) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | OOA(27101, 376, S27, 2, 52) | [i] | OOA Duplication | |