Information on Result #1149808
Linear OOA(2253, 66, F2, 6, 120) (dual of [(66, 6), 143, 121]-NRT-code), using construction X applied to AG(6;F,83P) ⊂ AG(6;F,106P) based on
- linear OOA(2190, 48, F2, 6, 121) (dual of [(48, 6), 98, 122]-NRT-code), using algebraic-geometric NRT-code AG(6;F,83P) 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(263, 18, F2, 6, 44) (dual of [(18, 6), 45, 45]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(263, 19, F2, 6, 44) (dual of [(19, 6), 51, 45]-NRT-code), using
- algebraic-geometric NRT-code AG(6;F,69P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20, using
- discarding factors / shortening the dual code based on linear OOA(263, 19, F2, 6, 44) (dual of [(19, 6), 51, 45]-NRT-code), 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(2253, 66, F2, 6, 119) (dual of [(66, 6), 143, 120]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2254, 66, F2, 6, 120) (dual of [(66, 6), 142, 121]-NRT-code) | [i] | OOA Duplication | |