Information on Result #1122274
Linear OOA(2178, 44, F2, 5, 117) (dual of [(44, 5), 42, 118]-NRT-code), using construction X applied to AG(5;F,87P) ⊂ AG(5;F,95P) based on
- linear OOA(2171, 41, F2, 5, 117) (dual of [(41, 5), 34, 118]-NRT-code), using algebraic-geometric NRT-code AG(5;F,87P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
- linear OOA(2163, 41, F2, 5, 109) (dual of [(41, 5), 42, 110]-NRT-code), using algebraic-geometric NRT-code AG(5;F,95P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(27, 3, F2, 5, 7) (dual of [(3, 5), 8, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(5;8,2) [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(2178, 44, F2, 5, 116) (dual of [(44, 5), 42, 117]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2178, 44, F2, 5, 115) (dual of [(44, 5), 42, 116]-NRT-code) | [i] | ||