Information on Result #1148686
Linear OOA(2142, 45, F2, 6, 77) (dual of [(45, 6), 128, 78]-NRT-code), using construction X applied to AG(6;F,29P) ⊂ AG(6;F,31P) based on
- linear OOA(2131, 42, F2, 6, 77) (dual of [(42, 6), 121, 78]-NRT-code), using algebraic-geometric NRT-code AG(6;F,29P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
- linear OOA(2119, 42, F2, 6, 65) (dual of [(42, 6), 133, 66]-NRT-code), using algebraic-geometric NRT-code AG(6;F,31P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(211, 3, F2, 6, 11) (dual of [(3, 6), 7, 12]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(6;7,2) [i]
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(2219, 78, F2, 6, 77) (dual of [(78, 6), 249, 78]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |