Information on Result #1127203
Linear OOA(2171, 44, F2, 5, 112) (dual of [(44, 5), 49, 113]-NRT-code), using construction X applied to AG(5;F,16P) ⊂ AG(5;F,17P) based on
- linear OOA(2167, 42, F2, 5, 113) (dual of [(42, 5), 43, 114]-NRT-code), using algebraic-geometric NRT-code AG(5;F,16P) 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(2161, 42, F2, 5, 107) (dual of [(42, 5), 49, 108]-NRT-code), using algebraic-geometric NRT-code AG(5;F,17P) 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(2171, 44, F2, 5, 111) (dual of [(44, 5), 49, 112]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2170, 43, F2, 5, 111) (dual of [(43, 5), 45, 112]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(2169, 43, F2, 5, 110) (dual of [(43, 5), 46, 111]-NRT-code) | [i] | ||
| 4 | Linear OOA(2168, 43, F2, 5, 109) (dual of [(43, 5), 47, 110]-NRT-code) | [i] | ||
| 5 | Linear OOA(2167, 43, F2, 5, 108) (dual of [(43, 5), 48, 109]-NRT-code) | [i] | ||