Information on Result #1129431
Linear OOA(2211, 77, F2, 5, 75) (dual of [(77, 5), 174, 76]-NRT-code), using (u, u+v)-construction based on
- linear OOA(276, 33, F2, 5, 37) (dual of [(33, 5), 89, 38]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,127P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
- linear OOA(2135, 44, F2, 5, 75) (dual of [(44, 5), 85, 76]-NRT-code), using
- strength reduction [i] based on linear OOA(2135, 44, F2, 5, 76) (dual of [(44, 5), 85, 77]-NRT-code), using
- construction X applied to AG(5;F,22P) ⊂ AG(5;F,23P) [i] based on
- linear OOA(2131, 42, F2, 5, 77) (dual of [(42, 5), 79, 78]-NRT-code), using algebraic-geometric NRT-code AG(5;F,22P) 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, 5, 71) (dual of [(42, 5), 85, 72]-NRT-code), using algebraic-geometric NRT-code AG(5;F,23P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(24, 2, F2, 5, 4) (dual of [(2, 5), 6, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(5;6,2) [i]
- construction X applied to AG(5;F,22P) ⊂ AG(5;F,23P) [i] based on
- strength reduction [i] based on linear OOA(2135, 44, F2, 5, 76) (dual of [(44, 5), 85, 77]-NRT-code), 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(2210, 76, F2, 5, 74) (dual of [(76, 5), 170, 75]-NRT-code) | [i] | Truncation for OOAs | |