Information on Result #1088651
Linear OOA(2121, 37, F2, 4, 72) (dual of [(37, 4), 27, 73]-NRT-code), using construction X applied to AG(4;F,55P) ⊂ AG(4;F,65P) based on
- linear OOA(2111, 32, F2, 4, 72) (dual of [(32, 4), 17, 73]-NRT-code), using algebraic-geometric NRT-code AG(4;F,55P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
- linear OOA(2101, 32, F2, 4, 62) (dual of [(32, 4), 27, 63]-NRT-code), using algebraic-geometric NRT-code AG(4;F,65P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33 (see above)
- 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
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(2121, 37, F2, 4, 71) (dual of [(37, 4), 27, 72]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2121, 37, F2, 4, 70) (dual of [(37, 4), 27, 71]-NRT-code) | [i] | ||