Information on Result #1833269
OOA(27104, 377, S27, 2, 54), using discarding parts of the base based on linear OOA(8178, 377, F81, 2, 54) (dual of [(377, 2), 676, 55]-NRT-code), using
- construction X applied to AG(2;F,683P) ⊂ AG(2;F,692P) [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(8161, 369, F81, 2, 45) (dual of [(369, 2), 677, 46]-NRT-code), using algebraic-geometric NRT-code AG(2;F,692P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(818, 8, F81, 2, 8) (dual of [(8, 2), 8, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(818, 81, F81, 2, 8) (dual of [(81, 2), 154, 9]-NRT-code), using
- Reed–Solomon NRT-code RS(2;154,81) [i]
- discarding factors / shortening the dual code based on linear OOA(818, 81, F81, 2, 8) (dual of [(81, 2), 154, 9]-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(27106, 378, S27, 2, 54) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | OOA(27105, 377, S27, 2, 54) | [i] | OOA Duplication | |