Information on Result #1127759
Linear OOA(2166, 54, F2, 5, 80) (dual of [(54, 5), 104, 81]-NRT-code), using construction X applied to AG(5;F,79P) ⊂ AG(5;F,87P) based on
- linear OOA(2150, 48, F2, 5, 81) (dual of [(48, 5), 90, 82]-NRT-code), using algebraic-geometric NRT-code AG(5;F,79P) 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(2134, 48, F2, 5, 65) (dual of [(48, 5), 106, 66]-NRT-code), using algebraic-geometric NRT-code AG(5;F,87P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(216, 6, F2, 5, 14) (dual of [(6, 5), 14, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,15P) [i] based on function field F/F2 with g(F) = 2 and N(F) ≥ 6, 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(2166, 54, F2, 5, 79) (dual of [(54, 5), 104, 80]-NRT-code) | [i] | Strength Reduction for OOAs | |