Information on Result #1148991
Linear OOA(2250, 53, F2, 6, 165) (dual of [(53, 6), 68, 166]-NRT-code), using construction X applied to AG(6;F,61P) ⊂ AG(6;F,69P) based on
- linear OOA(2234, 48, F2, 6, 165) (dual of [(48, 6), 54, 166]-NRT-code), using algebraic-geometric NRT-code AG(6;F,61P) 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(2218, 48, F2, 6, 149) (dual of [(48, 6), 70, 150]-NRT-code), using algebraic-geometric NRT-code AG(6;F,69P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(216, 5, F2, 6, 15) (dual of [(5, 6), 14, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(6;F,14P) [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(2250, 53, F2, 6, 164) (dual of [(53, 6), 68, 165]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2250, 53, F2, 6, 163) (dual of [(53, 6), 68, 164]-NRT-code) | [i] | ||