Information on Result #936942
Linear OOA(8165, 176, F81, 2, 53) (dual of [(176, 2), 287, 54]-NRT-code), using construction X applied to AG(2;F,288P) ⊂ AG(2;F,294P) based on
- linear OOA(8160, 171, F81, 2, 53) (dual of [(171, 2), 282, 54]-NRT-code), using algebraic-geometric NRT-code AG(2;F,288P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- linear OOA(8154, 171, F81, 2, 47) (dual of [(171, 2), 288, 48]-NRT-code), using algebraic-geometric NRT-code AG(2;F,294P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172 (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(9130, 352, F9, 2, 53) (dual of [(352, 2), 574, 54]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | OOA(2787, 176, S27, 2, 53) | [i] | Discarding Parts of the Base for OOAs | |
| 3 | Linear OOA(8165, 88, F81, 3, 53) (dual of [(88, 3), 199, 54]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(8165, 88, F81, 4, 53) (dual of [(88, 4), 287, 54]-NRT-code) | [i] | ||