Information on Result #1163876
Linear OOA(2252, 78, F2, 7, 99) (dual of [(78, 7), 294, 100]-NRT-code), using (u, u+v)-construction based on
- linear OOA(288, 33, F2, 7, 49) (dual of [(33, 7), 143, 50]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,181P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
- linear OOA(2164, 45, F2, 7, 99) (dual of [(45, 7), 151, 100]-NRT-code), using
- construction X applied to AG(7;F,32P) ⊂ AG(7;F,34P) [i] based on
- linear OOA(2155, 42, F2, 7, 101) (dual of [(42, 7), 139, 102]-NRT-code), using algebraic-geometric NRT-code AG(7;F,32P) 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(2143, 42, F2, 7, 89) (dual of [(42, 7), 151, 90]-NRT-code), using algebraic-geometric NRT-code AG(7;F,34P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(29, 3, F2, 7, 9) (dual of [(3, 7), 12, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(7;12,2) [i]
- construction X applied to AG(7;F,32P) ⊂ AG(7;F,34P) [i] based on
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, 77, F2, 7, 98) (dual of [(77, 7), 288, 99]-NRT-code) | [i] | Truncation for OOAs | |