Information on Result #1575566
Linear OOA(7109, 107, F7, 3, 62) (dual of [(107, 3), 212, 63]-NRT-code), using construction X applied to AG(3;F,249P) ⊂ AG(3;F,254P) based on
- linear OOA(7105, 104, F7, 3, 62) (dual of [(104, 3), 207, 63]-NRT-code), using algebraic-geometric NRT-code AG(3;F,249P) [i] based on function field F/F7 with g(F) = 43 and N(F) ≥ 105, using
- linear OOA(7100, 104, F7, 3, 57) (dual of [(104, 3), 212, 58]-NRT-code), using algebraic-geometric NRT-code AG(3;F,254P) [i] based on function field F/F7 with g(F) = 43 and N(F) ≥ 105 (see above)
- linear OOA(74, 3, F7, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(74, 7, F7, 3, 4) (dual of [(7, 3), 17, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;17,7) [i]
- discarding factors / shortening the dual code based on linear OOA(74, 7, F7, 3, 4) (dual of [(7, 3), 17, 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(7109, 107, F7, 3, 61) (dual of [(107, 3), 212, 62]-NRT-code) | [i] | Strength Reduction for OOAs | |