Information on Result #1149819
Linear OOA(2248, 67, F2, 6, 113) (dual of [(67, 6), 154, 114]-NRT-code), using construction X applied to AG(6;F,87P) ⊂ AG(6;F,111P) based on
- linear OOA(2182, 48, F2, 6, 113) (dual of [(48, 6), 106, 114]-NRT-code), using algebraic-geometric NRT-code AG(6;F,87P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
- linear OOA(2134, 48, F2, 6, 65) (dual of [(48, 6), 154, 66]-NRT-code), using algebraic-geometric NRT-code AG(6;F,111P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(266, 19, F2, 6, 47) (dual of [(19, 6), 48, 48]-NRT-code), using
- algebraic-geometric NRT-code AG(6;F,66P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20, 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(2248, 67, F2, 6, 112) (dual of [(67, 6), 154, 113]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2248, 67, F2, 6, 111) (dual of [(67, 6), 154, 112]-NRT-code) | [i] | ||
| 3 | Linear OOA(2249, 67, F2, 6, 113) (dual of [(67, 6), 153, 114]-NRT-code) | [i] | OOA Duplication | |