Information on Result #1149658
Linear OOA(2250, 62, F2, 6, 133) (dual of [(62, 6), 122, 134]-NRT-code), using construction X applied to AG(6;F,77P) ⊂ AG(6;F,96P) based on
- linear OOA(2202, 48, F2, 6, 133) (dual of [(48, 6), 86, 134]-NRT-code), using algebraic-geometric NRT-code AG(6;F,77P) 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(2164, 48, F2, 6, 95) (dual of [(48, 6), 124, 96]-NRT-code), using algebraic-geometric NRT-code AG(6;F,96P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(248, 14, F2, 6, 37) (dual of [(14, 6), 36, 38]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(6;F,46P) [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(2250, 62, F2, 6, 132) (dual of [(62, 6), 122, 133]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2250, 62, F2, 6, 131) (dual of [(62, 6), 122, 132]-NRT-code) | [i] | ||