Information on Result #937107
Linear OOA(8172, 374, F81, 2, 51) (dual of [(374, 2), 676, 52]-NRT-code), using construction X applied to AG(2;F,686P) ⊂ AG(2;F,692P) 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(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(815, 5, F81, 2, 5) (dual of [(5, 2), 5, 6]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(815, 81, F81, 2, 5) (dual of [(81, 2), 157, 6]-NRT-code), using
- Reed–Solomon NRT-code RS(2;157,81) [i]
- discarding factors / shortening the dual code based on linear OOA(815, 81, F81, 2, 5) (dual of [(81, 2), 157, 6]-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(9144, 748, F9, 2, 51) (dual of [(748, 2), 1352, 52]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | OOA(2796, 374, S27, 2, 51) | [i] | Discarding Parts of the Base for OOAs | |
| 3 | Linear OOA(8172, 187, F81, 3, 51) (dual of [(187, 3), 489, 52]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(8172, 187, F81, 4, 51) (dual of [(187, 4), 676, 52]-NRT-code) | [i] | ||