Information on Result #1092930
Linear OOA(2162, 55, F2, 4, 77) (dual of [(55, 4), 58, 78]-NRT-code), using construction X applied to AG(4;F,57P) ⊂ AG(4;F,64P) based on
- linear OOA(2146, 48, F2, 4, 77) (dual of [(48, 4), 46, 78]-NRT-code), using algebraic-geometric NRT-code AG(4;F,57P) 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(2132, 48, F2, 4, 63) (dual of [(48, 4), 60, 64]-NRT-code), using algebraic-geometric NRT-code AG(4;F,64P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(216, 7, F2, 4, 13) (dual of [(7, 4), 12, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,14P) [i] based on function field F/F2 with g(F) = 3 and N(F) ≥ 7, 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(2162, 55, F2, 4, 76) (dual of [(55, 4), 58, 77]-NRT-code) | [i] | Strength Reduction for OOAs | |