Information on Result #1149853
Linear OOA(2227, 78, F2, 6, 82) (dual of [(78, 6), 241, 83]-NRT-code), using (u, u+v)-construction based on
- linear OOA(280, 33, F2, 6, 41) (dual of [(33, 6), 118, 42]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(6;F,156P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
- linear OOA(2147, 45, F2, 6, 82) (dual of [(45, 6), 123, 83]-NRT-code), using
- construction X applied to AG(6;F,28P) ⊂ AG(6;F,30P) [i] based on
- linear OOA(2137, 42, F2, 6, 83) (dual of [(42, 6), 115, 84]-NRT-code), using algebraic-geometric NRT-code AG(6;F,28P) 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, 6, 71) (dual of [(42, 6), 127, 72]-NRT-code), using algebraic-geometric NRT-code AG(6;F,30P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(210, 3, F2, 6, 10) (dual of [(3, 6), 8, 11]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(6;8,2) [i]
- construction X applied to AG(6;F,28P) ⊂ AG(6;F,30P) [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(2227, 78, F2, 6, 81) (dual of [(78, 6), 241, 82]-NRT-code) | [i] | Strength Reduction for OOAs | |