Information on Result #1122113
Linear OOA(2101, 37, F2, 5, 49) (dual of [(37, 5), 84, 50]-NRT-code), using construction X applied to AG(5;F,110P) ⊂ AG(5;F,123P) based on
- linear OOA(288, 32, F2, 5, 49) (dual of [(32, 5), 72, 50]-NRT-code), using algebraic-geometric NRT-code AG(5;F,110P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
- linear OOA(275, 32, F2, 5, 36) (dual of [(32, 5), 85, 37]-NRT-code), using algebraic-geometric NRT-code AG(5;F,123P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33 (see above)
- linear OOA(213, 5, F2, 5, 12) (dual of [(5, 5), 12, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,12P) [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(2101, 37, F2, 5, 48) (dual of [(37, 5), 84, 49]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2253, 79, F2, 5, 98) (dual of [(79, 5), 142, 99]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(2254, 79, F2, 5, 99) (dual of [(79, 5), 141, 100]-NRT-code) | [i] | ||