Information on Result #1129476
Linear OOA(2229, 77, F2, 5, 87) (dual of [(77, 5), 156, 88]-NRT-code), using (u, u+v)-construction based on
- linear OOA(282, 33, F2, 5, 43) (dual of [(33, 5), 83, 44]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,121P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
- linear OOA(2147, 44, F2, 5, 87) (dual of [(44, 5), 73, 88]-NRT-code), using
- strength reduction [i] based on linear OOA(2147, 44, F2, 5, 88) (dual of [(44, 5), 73, 89]-NRT-code), using
- construction X applied to AG(5;F,20P) ⊂ AG(5;F,21P) [i] based on
- linear OOA(2143, 42, F2, 5, 89) (dual of [(42, 5), 67, 90]-NRT-code), using algebraic-geometric NRT-code AG(5;F,20P) 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(2137, 42, F2, 5, 83) (dual of [(42, 5), 73, 84]-NRT-code), using algebraic-geometric NRT-code AG(5;F,21P) 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,20P) ⊂ AG(5;F,21P) [i] based on
- strength reduction [i] based on linear OOA(2147, 44, F2, 5, 88) (dual of [(44, 5), 73, 89]-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(2228, 76, F2, 5, 86) (dual of [(76, 5), 152, 87]-NRT-code) | [i] | Truncation for OOAs | |