Information on Result #1129459
Linear OOA(2222, 77, F2, 5, 83) (dual of [(77, 5), 163, 84]-NRT-code), using (u, u+v)-construction based on
- linear OOA(280, 33, F2, 5, 41) (dual of [(33, 5), 85, 42]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,123P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
- linear OOA(2142, 44, F2, 5, 83) (dual of [(44, 5), 78, 84]-NRT-code), using
- construction X applied to AG(5;F,21P) ⊂ AG(5;F,22P) [i] based on
- linear OOA(2137, 42, F2, 5, 83) (dual of [(42, 5), 73, 84]-NRT-code), using algebraic-geometric NRT-code AG(5;F,21P) 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(2131, 42, F2, 5, 77) (dual of [(42, 5), 79, 78]-NRT-code), using algebraic-geometric NRT-code AG(5;F,22P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(25, 2, F2, 5, 5) (dual of [(2, 5), 5, 6]-NRT-code), using
- Reed–Solomon NRT-code RS(5;5,2) [i]
- construction X applied to AG(5;F,21P) ⊂ AG(5;F,22P) [i] based on
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(2222, 77, F2, 5, 82) (dual of [(77, 5), 163, 83]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2222, 77, F2, 5, 81) (dual of [(77, 5), 163, 82]-NRT-code) | [i] | ||
| 3 | Linear OOA(2223, 77, F2, 5, 83) (dual of [(77, 5), 162, 84]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2225, 77, F2, 5, 83) (dual of [(77, 5), 160, 84]-NRT-code) | [i] | ||