Information on Result #1833252
OOA(27100, 175, S27, 2, 64), using discarding parts of the base based on linear OOA(8175, 175, F81, 2, 64) (dual of [(175, 2), 275, 65]-NRT-code), using
- construction X applied to AG(2;F,277P) ⊂ AG(2;F,282P) [i] based on
- linear OOA(8171, 171, F81, 2, 64) (dual of [(171, 2), 271, 65]-NRT-code), using algebraic-geometric NRT-code AG(2;F,277P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- linear OOA(8166, 171, F81, 2, 59) (dual of [(171, 2), 276, 60]-NRT-code), using algebraic-geometric NRT-code AG(2;F,282P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172 (see above)
- linear OOA(814, 4, F81, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(814, 81, F81, 2, 4) (dual of [(81, 2), 158, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;158,81) [i]
- discarding factors / shortening the dual code based on linear OOA(814, 81, F81, 2, 4) (dual of [(81, 2), 158, 5]-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, 176, S27, 2, 64) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | OOA(27101, 175, S27, 2, 64) | [i] | OOA Duplication | |