Information on Result #1092613
Linear OOA(2109, 44, F2, 4, 50) (dual of [(44, 4), 67, 51]-NRT-code), using construction X applied to AG(4;F,19P) ⊂ AG(4;F,20P) based on
- linear OOA(2107, 42, F2, 4, 53) (dual of [(42, 4), 61, 54]-NRT-code), using algebraic-geometric NRT-code AG(4;F,19P) 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, 4, 47) (dual of [(42, 4), 67, 48]-NRT-code), using algebraic-geometric NRT-code AG(4;F,20P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(22, 2, F2, 4, 2) (dual of [(2, 4), 6, 3]-NRT-code), using
- Reed–Solomon NRT-code RS(4;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(2109, 22, F2, 7, 50) (dual of [(22, 7), 45, 51]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2109, 22, F2, 8, 50) (dual of [(22, 8), 67, 51]-NRT-code) | [i] | ||