Information on Result #1163867
Linear OOA(2225, 78, F2, 7, 81) (dual of [(78, 7), 321, 82]-NRT-code), using (u, u+v)-construction based on
- linear OOA(279, 33, F2, 7, 40) (dual of [(33, 7), 152, 41]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,190P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
- linear OOA(2146, 45, F2, 7, 81) (dual of [(45, 7), 169, 82]-NRT-code), using
- construction X applied to AG(7;F,35P) ⊂ AG(7;F,37P) [i] based on
- linear OOA(2137, 42, F2, 7, 83) (dual of [(42, 7), 157, 84]-NRT-code), using algebraic-geometric NRT-code AG(7;F,35P) 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(2125, 42, F2, 7, 71) (dual of [(42, 7), 169, 72]-NRT-code), using algebraic-geometric NRT-code AG(7;F,37P) 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,35P) ⊂ AG(7;F,37P) [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(2224, 77, F2, 7, 80) (dual of [(77, 7), 315, 81]-NRT-code) | [i] | Truncation for OOAs | |