Information on Result #1127525
Linear OOA(2157, 51, F2, 5, 81) (dual of [(51, 5), 98, 82]-NRT-code), using construction X applied to AG(5;F,79P) ⊂ AG(5;F,83P) based on
- linear OOA(2150, 48, F2, 5, 81) (dual of [(48, 5), 90, 82]-NRT-code), using algebraic-geometric NRT-code AG(5;F,79P) 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(2142, 48, F2, 5, 73) (dual of [(48, 5), 98, 74]-NRT-code), using algebraic-geometric NRT-code AG(5;F,83P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (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(2157, 51, F2, 5, 80) (dual of [(51, 5), 98, 81]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2157, 51, F2, 5, 79) (dual of [(51, 5), 98, 80]-NRT-code) | [i] | ||
| 3 | Linear OOA(2158, 51, F2, 5, 81) (dual of [(51, 5), 97, 82]-NRT-code) | [i] | OOA Duplication | |