Information on Result #1572840
Linear OOA(4147, 101, F4, 3, 82) (dual of [(101, 3), 156, 83]-NRT-code), using construction X applied to AG(3;F,211P) ⊂ AG(3;F,216P) based on
- linear OOA(4143, 98, F4, 3, 82) (dual of [(98, 3), 151, 83]-NRT-code), using algebraic-geometric NRT-code AG(3;F,211P) [i] based on function field F/F4 with g(F) = 61 and N(F) ≥ 99, using
- linear OOA(4138, 98, F4, 3, 77) (dual of [(98, 3), 156, 78]-NRT-code), using algebraic-geometric NRT-code AG(3;F,216P) [i] based on function field F/F4 with g(F) = 61 and N(F) ≥ 99 (see above)
- linear OOA(44, 3, F4, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(44, 4, F4, 3, 4) (dual of [(4, 3), 8, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;8,4) [i]
- discarding factors / shortening the dual code based on linear OOA(44, 4, F4, 3, 4) (dual of [(4, 3), 8, 5]-NRT-code), using
Mode: 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(4147, 101, F4, 3, 81) (dual of [(101, 3), 156, 82]-NRT-code) | [i] | Strength Reduction for OOAs | |