Information on Result #1162944
Linear OOA(2226, 45, F2, 7, 161) (dual of [(45, 7), 89, 162]-NRT-code), using construction X applied to AG(7;F,22P) ⊂ AG(7;F,24P) based on
- linear OOA(2215, 42, F2, 7, 161) (dual of [(42, 7), 79, 162]-NRT-code), using algebraic-geometric NRT-code AG(7;F,22P) 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(2203, 42, F2, 7, 149) (dual of [(42, 7), 91, 150]-NRT-code), using algebraic-geometric NRT-code AG(7;F,24P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(211, 3, F2, 7, 11) (dual of [(3, 7), 10, 12]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(7;10,2) [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(2226, 45, F2, 7, 160) (dual of [(45, 7), 89, 161]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2226, 45, F2, 7, 159) (dual of [(45, 7), 89, 160]-NRT-code) | [i] | ||
| 3 | Linear OOA(2227, 45, F2, 7, 161) (dual of [(45, 7), 88, 162]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2228, 45, F2, 7, 161) (dual of [(45, 7), 87, 162]-NRT-code) | [i] | ||