Information on Result #1121675
Linear OOA(292, 24, F2, 5, 61) (dual of [(24, 5), 28, 62]-NRT-code), using construction X applied to AG(5;F,38P) ⊂ AG(5;F,48P) based on
- linear OOA(282, 20, F2, 5, 61) (dual of [(20, 5), 18, 62]-NRT-code), using algebraic-geometric NRT-code AG(5;F,38P) [i] based on function field F/F2 with g(F) = 21 and N(F) ≥ 21, using
- linear OOA(272, 20, F2, 5, 51) (dual of [(20, 5), 28, 52]-NRT-code), using algebraic-geometric NRT-code AG(5;F,48P) [i] based on function field F/F2 with g(F) = 21 and N(F) ≥ 21 (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(2247, 54, F2, 5, 155) (dual of [(54, 5), 23, 156]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 2 | Linear OOA(2252, 55, F2, 5, 160) (dual of [(55, 5), 23, 161]-NRT-code) | [i] | ||
| 3 | Linear OOA(2257, 56, F2, 5, 165) (dual of [(56, 5), 23, 166]-NRT-code) | [i] | ||
| 4 | Linear OOA(2251, 56, F2, 5, 154) (dual of [(56, 5), 29, 155]-NRT-code) | [i] | Construction X with Algebraic-Geometric NRT-Codes | |