Information on Result #1148971
Linear OOA(2162, 52, F2, 6, 81) (dual of [(52, 6), 150, 82]-NRT-code), using construction X applied to AG(6;F,103P) ⊂ AG(6;F,109P) based on
- linear OOA(2150, 48, F2, 6, 81) (dual of [(48, 6), 138, 82]-NRT-code), using algebraic-geometric NRT-code AG(6;F,103P) 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(2138, 48, F2, 6, 69) (dual of [(48, 6), 150, 70]-NRT-code), using algebraic-geometric NRT-code AG(6;F,109P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(212, 4, F2, 6, 11) (dual of [(4, 6), 12, 12]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(212, 5, F2, 5, 11) (dual of [(5, 5), 13, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,13P) [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(212, 5, F2, 5, 11) (dual of [(5, 5), 13, 12]-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(2162, 52, F2, 6, 80) (dual of [(52, 6), 150, 81]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2162, 52, F2, 6, 79) (dual of [(52, 6), 150, 80]-NRT-code) | [i] | ||
| 3 | Linear OOA(2163, 52, F2, 6, 81) (dual of [(52, 6), 149, 82]-NRT-code) | [i] | OOA Duplication | |