Information on Result #1162959
Linear OOA(2206, 45, F2, 7, 141) (dual of [(45, 7), 109, 142]-NRT-code), using construction X applied to AG(7;F,25P) ⊂ AG(7;F,27P) based on
- linear OOA(2197, 42, F2, 7, 143) (dual of [(42, 7), 97, 144]-NRT-code), using algebraic-geometric NRT-code AG(7;F,25P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
- linear OOA(2185, 42, F2, 7, 131) (dual of [(42, 7), 109, 132]-NRT-code), using algebraic-geometric NRT-code AG(7;F,27P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(29, 3, F2, 7, 9) (dual of [(3, 7), 12, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(7;12,2) [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(2206, 45, F2, 7, 140) (dual of [(45, 7), 109, 141]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2206, 45, F2, 7, 139) (dual of [(45, 7), 109, 140]-NRT-code) | [i] | ||