Information on Result #938713
Linear OOA(3194, 162, F3, 2, 72) (dual of [(162, 2), 130, 73]-NRT-code), using trace code based on linear OOA(997, 81, F9, 2, 72) (dual of [(81, 2), 65, 73]-NRT-code), using
- construction X applied to AG(2;F,73P) ⊂ AG(2;F,82P) [i] based on
- linear OOA(989, 73, F9, 2, 72) (dual of [(73, 2), 57, 73]-NRT-code), using algebraic-geometric NRT-code AG(2;F,73P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- linear OOA(980, 73, F9, 2, 63) (dual of [(73, 2), 66, 64]-NRT-code), using algebraic-geometric NRT-code AG(2;F,82P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74 (see above)
- linear OOA(98, 8, F9, 2, 8) (dual of [(8, 2), 8, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(98, 9, F9, 2, 8) (dual of [(9, 2), 10, 9]-NRT-code), using
- Reed–Solomon NRT-code RS(2;10,9) [i]
- discarding factors / shortening the dual code based on linear OOA(98, 9, F9, 2, 8) (dual of [(9, 2), 10, 9]-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(3194, 81, F3, 4, 72) (dual of [(81, 4), 130, 73]-NRT-code) | [i] | OOA Folding | |