Information on Result #1149835
Linear OOA(2249, 68, F2, 6, 110) (dual of [(68, 6), 159, 111]-NRT-code), using construction X applied to AG(6;F,88P) ⊂ AG(6;F,114P) based on
- linear OOA(2180, 48, F2, 6, 111) (dual of [(48, 6), 108, 112]-NRT-code), using algebraic-geometric NRT-code AG(6;F,88P) 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(2128, 48, F2, 6, 59) (dual of [(48, 6), 160, 60]-NRT-code), using algebraic-geometric NRT-code AG(6;F,114P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(269, 20, F2, 6, 50) (dual of [(20, 6), 51, 51]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(6;F,69P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20, 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(2249, 68, F2, 6, 109) (dual of [(68, 6), 159, 110]-NRT-code) | [i] | Strength Reduction for OOAs | |