Information on Result #1127697
Linear OOA(2228, 54, F2, 5, 142) (dual of [(54, 5), 42, 143]-NRT-code), using construction X applied to AG(5;F,48P) ⊂ AG(5;F,56P) based on
- linear OOA(2212, 48, F2, 5, 143) (dual of [(48, 5), 28, 144]-NRT-code), using algebraic-geometric NRT-code AG(5;F,48P) 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(2196, 48, F2, 5, 127) (dual of [(48, 5), 44, 128]-NRT-code), using algebraic-geometric NRT-code AG(5;F,56P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(216, 6, F2, 5, 14) (dual of [(6, 5), 14, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,15P) [i] based on function field F/F2 with g(F) = 2 and N(F) ≥ 6, 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(2228, 54, F2, 5, 141) (dual of [(54, 5), 42, 142]-NRT-code) | [i] | Strength Reduction for OOAs | |