Information on Result #1149813
Linear OOA(2260, 67, F2, 6, 125) (dual of [(67, 6), 142, 126]-NRT-code), using construction X applied to AG(6;F,81P) ⊂ AG(6;F,105P) based on
- linear OOA(2194, 48, F2, 6, 125) (dual of [(48, 6), 94, 126]-NRT-code), using algebraic-geometric NRT-code AG(6;F,81P) 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(2146, 48, F2, 6, 77) (dual of [(48, 6), 142, 78]-NRT-code), using algebraic-geometric NRT-code AG(6;F,105P) 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(2260, 67, F2, 6, 124) (dual of [(67, 6), 142, 125]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2260, 67, F2, 6, 123) (dual of [(67, 6), 142, 124]-NRT-code) | [i] | ||