Information on Result #1576370
Linear OOA(8169, 146, F8, 3, 120) (dual of [(146, 3), 269, 121]-NRT-code), using construction X applied to AG(3;F,308P) ⊂ AG(3;F,313P) based on
- linear OOA(8165, 143, F8, 3, 120) (dual of [(143, 3), 264, 121]-NRT-code), using algebraic-geometric NRT-code AG(3;F,308P) [i] based on function field F/F8 with g(F) = 45 and N(F) ≥ 144, using
- linear OOA(8160, 143, F8, 3, 115) (dual of [(143, 3), 269, 116]-NRT-code), using algebraic-geometric NRT-code AG(3;F,313P) [i] based on function field F/F8 with g(F) = 45 and N(F) ≥ 144 (see above)
- linear OOA(84, 3, F8, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(84, 8, F8, 3, 4) (dual of [(8, 3), 20, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;20,8) [i]
- discarding factors / shortening the dual code based on linear OOA(84, 8, F8, 3, 4) (dual of [(8, 3), 20, 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(8169, 146, F8, 3, 119) (dual of [(146, 3), 269, 120]-NRT-code) | [i] | Strength Reduction for OOAs | |