Information on Result #1163540
Linear OOA(2245, 57, F2, 7, 142) (dual of [(57, 7), 154, 143]-NRT-code), using construction X applied to AG(7;F,96P) ⊂ AG(7;F,111P) based on
- linear OOA(2212, 48, F2, 7, 143) (dual of [(48, 7), 124, 144]-NRT-code), using algebraic-geometric NRT-code AG(7;F,96P) 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(2182, 48, F2, 7, 113) (dual of [(48, 7), 154, 114]-NRT-code), using algebraic-geometric NRT-code AG(7;F,111P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(233, 9, F2, 7, 28) (dual of [(9, 7), 30, 29]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,34P) [i] based on function field F/F2 with g(F) = 5 and N(F) ≥ 9, 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(2245, 57, F2, 7, 141) (dual of [(57, 7), 154, 142]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2245, 57, F2, 7, 140) (dual of [(57, 7), 154, 141]-NRT-code) | [i] | ||
| 3 | Linear OOA(2245, 57, F2, 7, 139) (dual of [(57, 7), 154, 140]-NRT-code) | [i] | ||