Information on Result #1127233
Linear OOA(2111, 44, F2, 5, 52) (dual of [(44, 5), 109, 53]-NRT-code), using construction X applied to AG(5;F,26P) ⊂ AG(5;F,27P) based on
- linear OOA(2107, 42, F2, 5, 53) (dual of [(42, 5), 103, 54]-NRT-code), using algebraic-geometric NRT-code AG(5;F,26P) 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(2101, 42, F2, 5, 47) (dual of [(42, 5), 109, 48]-NRT-code), using algebraic-geometric NRT-code AG(5;F,27P) 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(2111, 44, F2, 5, 51) (dual of [(44, 5), 109, 52]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2110, 43, F2, 5, 51) (dual of [(43, 5), 105, 52]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(2109, 43, F2, 5, 50) (dual of [(43, 5), 106, 51]-NRT-code) | [i] | ||
| 4 | Linear OOA(2108, 43, F2, 5, 49) (dual of [(43, 5), 107, 50]-NRT-code) | [i] | ||
| 5 | Linear OOA(2107, 43, F2, 5, 48) (dual of [(43, 5), 108, 49]-NRT-code) | [i] | ||
| 6 | Linear OOA(2108, 44, F2, 4, 49) (dual of [(44, 4), 68, 50]-NRT-code) | [i] | m-Reduction for OOAs | |
| 7 | Linear OOA(2107, 44, F2, 4, 48) (dual of [(44, 4), 69, 49]-NRT-code) | [i] | ||