Information on Result #1092796
Linear OOA(2158, 52, F2, 4, 81) (dual of [(52, 4), 50, 82]-NRT-code), using construction X applied to AG(4;F,55P) ⊂ AG(4;F,59P) based on
- linear OOA(2150, 48, F2, 4, 81) (dual of [(48, 4), 42, 82]-NRT-code), using algebraic-geometric NRT-code AG(4;F,55P) 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, 4, 73) (dual of [(48, 4), 50, 74]-NRT-code), using algebraic-geometric NRT-code AG(4;F,59P) 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(2158, 52, F2, 4, 80) (dual of [(52, 4), 50, 81]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2158, 26, F2, 7, 81) (dual of [(26, 7), 24, 82]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2158, 26, F2, 8, 81) (dual of [(26, 8), 50, 82]-NRT-code) | [i] | ||