Information on Result #937177
Linear OOA(8174, 376, F81, 2, 51) (dual of [(376, 2), 678, 52]-NRT-code), using construction X applied to AG(2;F,686P) ⊂ AG(2;F,694P) based on
- linear OOA(8167, 369, F81, 2, 51) (dual of [(369, 2), 671, 52]-NRT-code), using algebraic-geometric NRT-code AG(2;F,686P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8159, 369, F81, 2, 43) (dual of [(369, 2), 679, 44]-NRT-code), using algebraic-geometric NRT-code AG(2;F,694P) [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 and linear.
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 | Linear OOA(9148, 752, F9, 2, 51) (dual of [(752, 2), 1356, 52]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | OOA(2799, 376, S27, 2, 51) | [i] | Discarding Parts of the Base for OOAs | |
| 3 | Linear OOA(8174, 188, F81, 3, 51) (dual of [(188, 3), 490, 52]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(8174, 188, F81, 4, 51) (dual of [(188, 4), 678, 52]-NRT-code) | [i] | ||