Information on Result #1162932
Linear OOA(2244, 45, F2, 7, 179) (dual of [(45, 7), 71, 180]-NRT-code), using construction X applied to AG(7;F,19P) ⊂ AG(7;F,21P) based on
- linear OOA(2233, 42, F2, 7, 179) (dual of [(42, 7), 61, 180]-NRT-code), using algebraic-geometric NRT-code AG(7;F,19P) 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(2221, 42, F2, 7, 167) (dual of [(42, 7), 73, 168]-NRT-code), using algebraic-geometric NRT-code AG(7;F,21P) 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(2244, 45, F2, 7, 178) (dual of [(45, 7), 71, 179]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2244, 45, F2, 7, 177) (dual of [(45, 7), 71, 178]-NRT-code) | [i] | ||
| 3 | Linear OOA(2245, 45, F2, 7, 179) (dual of [(45, 7), 70, 180]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2246, 45, F2, 7, 179) (dual of [(45, 7), 69, 180]-NRT-code) | [i] | ||