Information on Result #2840901
Linear OOA(2147, 44, F2, 5, 87) (dual of [(44, 5), 73, 88]-NRT-code), using strength reduction 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]
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(2146, 43, F2, 5, 86) (dual of [(43, 5), 69, 87]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(2145, 43, F2, 5, 85) (dual of [(43, 5), 70, 86]-NRT-code) | [i] | ||
| 3 | Linear OOA(2144, 43, F2, 5, 84) (dual of [(43, 5), 71, 85]-NRT-code) | [i] | ||
| 4 | Linear OOA(2229, 77, F2, 5, 87) (dual of [(77, 5), 156, 88]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |