Information on Result #1148914
Linear OOA(2141, 51, F2, 6, 63) (dual of [(51, 6), 165, 64]-NRT-code), using construction X applied to AG(6;F,112P) ⊂ AG(6;F,117P) based on
- linear OOA(2132, 48, F2, 6, 63) (dual of [(48, 6), 156, 64]-NRT-code), using algebraic-geometric NRT-code AG(6;F,112P) 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(2122, 48, F2, 6, 53) (dual of [(48, 6), 166, 54]-NRT-code), using algebraic-geometric NRT-code AG(6;F,117P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(29, 3, F2, 6, 9) (dual of [(3, 6), 9, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(6;9,2) [i]
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(2141, 51, F2, 6, 62) (dual of [(51, 6), 165, 63]-NRT-code) | [i] | Strength Reduction for OOAs | |