Information on Result #1149418
Linear OOA(2180, 57, F2, 6, 81) (dual of [(57, 6), 162, 82]-NRT-code), using construction X applied to AG(6;F,103P) ⊂ AG(6;F,116P) based on
- linear OOA(2150, 48, F2, 6, 81) (dual of [(48, 6), 138, 82]-NRT-code), using algebraic-geometric NRT-code AG(6;F,103P) 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(2124, 48, F2, 6, 55) (dual of [(48, 6), 164, 56]-NRT-code), using algebraic-geometric NRT-code AG(6;F,116P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(230, 9, F2, 6, 25) (dual of [(9, 6), 24, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(6;F,28P) [i] based on function field F/F2 with g(F) = 5 and N(F) ≥ 9, 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(2180, 57, F2, 6, 80) (dual of [(57, 6), 162, 81]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2180, 57, F2, 6, 79) (dual of [(57, 6), 162, 80]-NRT-code) | [i] | ||