Information on Result #1122024
Linear OOA(299, 36, F2, 5, 50) (dual of [(36, 5), 81, 51]-NRT-code), using construction X applied to AG(5;F,109P) ⊂ AG(5;F,119P) based on
- linear OOA(289, 32, F2, 5, 50) (dual of [(32, 5), 71, 51]-NRT-code), using algebraic-geometric NRT-code AG(5;F,109P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
- linear OOA(279, 32, F2, 5, 40) (dual of [(32, 5), 81, 41]-NRT-code), using algebraic-geometric NRT-code AG(5;F,119P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33 (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(299, 36, F2, 5, 49) (dual of [(36, 5), 81, 50]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2253, 78, F2, 5, 100) (dual of [(78, 5), 137, 101]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(2254, 78, F2, 5, 101) (dual of [(78, 5), 136, 102]-NRT-code) | [i] | ||