Information on Result #1149833
Linear OOA(2251, 68, F2, 6, 112) (dual of [(68, 6), 157, 113]-NRT-code), using construction X applied to AG(6;F,87P) ⊂ AG(6;F,113P) based on
- linear OOA(2182, 48, F2, 6, 113) (dual of [(48, 6), 106, 114]-NRT-code), using algebraic-geometric NRT-code AG(6;F,87P) 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(2130, 48, F2, 6, 61) (dual of [(48, 6), 158, 62]-NRT-code), using algebraic-geometric NRT-code AG(6;F,113P) 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(2251, 68, F2, 6, 111) (dual of [(68, 6), 157, 112]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2251, 68, F2, 6, 110) (dual of [(68, 6), 157, 111]-NRT-code) | [i] | ||
| 3 | Linear OOA(2251, 68, F2, 6, 109) (dual of [(68, 6), 157, 110]-NRT-code) | [i] | ||