Information on Result #1149679
Linear OOA(2229, 62, F2, 6, 112) (dual of [(62, 6), 143, 113]-NRT-code), using construction X applied to AG(6;F,87P) ⊂ AG(6;F,106P) 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(2144, 48, F2, 6, 75) (dual of [(48, 6), 144, 76]-NRT-code), using algebraic-geometric NRT-code AG(6;F,106P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(247, 14, F2, 6, 36) (dual of [(14, 6), 37, 37]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(6;F,47P) [i] based on function field F/F2 with g(F) = 11 and N(F) ≥ 14, 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(2229, 62, F2, 6, 111) (dual of [(62, 6), 143, 112]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2229, 62, F2, 6, 110) (dual of [(62, 6), 143, 111]-NRT-code) | [i] | ||