Information on Result #1121677
Linear OOA(290, 24, F2, 5, 59) (dual of [(24, 5), 30, 60]-NRT-code), using construction X applied to AG(5;F,40P) ⊂ AG(5;F,50P) based on
- linear OOA(280, 20, F2, 5, 59) (dual of [(20, 5), 20, 60]-NRT-code), using algebraic-geometric NRT-code AG(5;F,40P) [i] based on function field F/F2 with g(F) = 21 and N(F) ≥ 21, using
- linear OOA(270, 20, F2, 5, 49) (dual of [(20, 5), 30, 50]-NRT-code), using algebraic-geometric NRT-code AG(5;F,50P) [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(2249, 56, F2, 5, 150) (dual of [(56, 5), 31, 151]-NRT-code) | [i] | Construction X with Algebraic-Geometric NRT-Codes | |