Information on Result #1092787
Linear OOA(2168, 52, F2, 4, 91) (dual of [(52, 4), 40, 92]-NRT-code), using construction X applied to AG(4;F,50P) ⊂ AG(4;F,54P) based on
- linear OOA(2160, 48, F2, 4, 91) (dual of [(48, 4), 32, 92]-NRT-code), using algebraic-geometric NRT-code AG(4;F,50P) 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(2152, 48, F2, 4, 83) (dual of [(48, 4), 40, 84]-NRT-code), using algebraic-geometric NRT-code AG(4;F,54P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(28, 4, F2, 4, 7) (dual of [(4, 4), 8, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(28, 5, F2, 3, 7) (dual of [(5, 3), 7, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,7P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- OOA stacking with additional row [i] based on linear OOA(28, 5, F2, 3, 7) (dual of [(5, 3), 7, 8]-NRT-code), using
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(2168, 52, F2, 4, 90) (dual of [(52, 4), 40, 91]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2169, 52, F2, 4, 91) (dual of [(52, 4), 39, 92]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2168, 26, F2, 7, 91) (dual of [(26, 7), 14, 92]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2168, 26, F2, 8, 91) (dual of [(26, 8), 40, 92]-NRT-code) | [i] | ||