Information on Result #1127579
Linear OOA(2154, 52, F2, 5, 75) (dual of [(52, 5), 106, 76]-NRT-code), using construction X applied to AG(5;F,82P) ⊂ AG(5;F,87P) based on
- linear OOA(2144, 48, F2, 5, 75) (dual of [(48, 5), 96, 76]-NRT-code), using algebraic-geometric NRT-code AG(5;F,82P) 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(2134, 48, F2, 5, 65) (dual of [(48, 5), 106, 66]-NRT-code), using algebraic-geometric NRT-code AG(5;F,87P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(210, 4, F2, 5, 9) (dual of [(4, 5), 10, 10]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(210, 5, F2, 4, 9) (dual of [(5, 4), 10, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,10P) [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(210, 5, F2, 4, 9) (dual of [(5, 4), 10, 10]-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(2154, 52, F2, 5, 74) (dual of [(52, 5), 106, 75]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2154, 52, F2, 5, 73) (dual of [(52, 5), 106, 74]-NRT-code) | [i] | ||
| 3 | Linear OOA(2155, 52, F2, 5, 75) (dual of [(52, 5), 105, 76]-NRT-code) | [i] | OOA Duplication | |