Information on Result #937234
Linear OOA(8181, 378, F81, 2, 56) (dual of [(378, 2), 675, 57]-NRT-code), using construction X applied to AG(2;F,681P) ⊂ AG(2;F,691P) based on
- linear OOA(8172, 369, F81, 2, 56) (dual of [(369, 2), 666, 57]-NRT-code), using algebraic-geometric NRT-code AG(2;F,681P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8162, 369, F81, 2, 46) (dual of [(369, 2), 676, 47]-NRT-code), using algebraic-geometric NRT-code AG(2;F,691P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(819, 9, F81, 2, 9) (dual of [(9, 2), 9, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(819, 81, F81, 2, 9) (dual of [(81, 2), 153, 10]-NRT-code), using
- Reed–Solomon NRT-code RS(2;153,81) [i]
- discarding factors / shortening the dual code based on linear OOA(819, 81, F81, 2, 9) (dual of [(81, 2), 153, 10]-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 | OOA(27108, 378, S27, 2, 56) | [i] | Discarding Parts of the Base for OOAs | |
| 2 | Linear OOA(8181, 189, F81, 3, 56) (dual of [(189, 3), 486, 57]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8181, 189, F81, 4, 56) (dual of [(189, 4), 675, 57]-NRT-code) | [i] | ||