Information on Result #919782
Linear OOA(557, 54, F5, 2, 31) (dual of [(54, 2), 51, 32]-NRT-code), using construction X applied to AG(2;F,68P) ⊂ AG(2;F,73P) based on
- linear OOA(553, 50, F5, 2, 31) (dual of [(50, 2), 47, 32]-NRT-code), using algebraic-geometric NRT-code AG(2;F,68P) [i] based on function field F/F5 with g(F) = 22 and N(F) ≥ 51, using
- linear OOA(548, 50, F5, 2, 26) (dual of [(50, 2), 52, 27]-NRT-code), using algebraic-geometric NRT-code AG(2;F,73P) [i] based on function field F/F5 with g(F) = 22 and N(F) ≥ 51 (see above)
- linear OOA(54, 4, F5, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(54, 5, F5, 2, 4) (dual of [(5, 2), 6, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;6,5) [i]
- discarding factors / shortening the dual code based on linear OOA(54, 5, F5, 2, 4) (dual of [(5, 2), 6, 5]-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(557, 27, F5, 3, 31) (dual of [(27, 3), 24, 32]-NRT-code) | [i] | OOA Folding | |