Information on Result #1127400
Linear OOA(2186, 50, F2, 5, 112) (dual of [(50, 5), 64, 113]-NRT-code), using construction X applied to AG(5;F,63P) ⊂ AG(5;F,66P) based on
- linear OOA(2182, 48, F2, 5, 113) (dual of [(48, 5), 58, 114]-NRT-code), using algebraic-geometric NRT-code AG(5;F,63P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
- linear OOA(2176, 48, F2, 5, 107) (dual of [(48, 5), 64, 108]-NRT-code), using algebraic-geometric NRT-code AG(5;F,66P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(24, 2, F2, 5, 4) (dual of [(2, 5), 6, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(5;6,2) [i]
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(2186, 50, F2, 5, 111) (dual of [(50, 5), 64, 112]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2186, 50, F2, 5, 110) (dual of [(50, 5), 64, 111]-NRT-code) | [i] | ||