Information on Result #1149345
Linear OOA(2253, 57, F2, 6, 154) (dual of [(57, 6), 89, 155]-NRT-code), using construction X applied to AG(6;F,66P) ⊂ AG(6;F,79P) based on
- linear OOA(2224, 48, F2, 6, 155) (dual of [(48, 6), 64, 156]-NRT-code), using algebraic-geometric NRT-code AG(6;F,66P) 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(2198, 48, F2, 6, 129) (dual of [(48, 6), 90, 130]-NRT-code), using algebraic-geometric NRT-code AG(6;F,79P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(229, 9, F2, 6, 24) (dual of [(9, 6), 25, 25]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(6;F,29P) [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(2253, 57, F2, 6, 153) (dual of [(57, 6), 89, 154]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2253, 57, F2, 6, 152) (dual of [(57, 6), 89, 153]-NRT-code) | [i] | ||