Information on Result #1088879
Linear OOA(2144, 45, F2, 4, 82) (dual of [(45, 4), 36, 83]-NRT-code), using construction X applied to AG(4;F,81P) ⊂ AG(4;F,89P) based on
- linear OOA(2136, 41, F2, 4, 82) (dual of [(41, 4), 28, 83]-NRT-code), using algebraic-geometric NRT-code AG(4;F,81P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
- linear OOA(2128, 41, F2, 4, 74) (dual of [(41, 4), 36, 75]-NRT-code), using algebraic-geometric NRT-code AG(4;F,89P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (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(2144, 45, F2, 4, 81) (dual of [(45, 4), 36, 82]-NRT-code) | [i] | Strength Reduction for OOAs | |