Information on Result #1127204
Linear OOA(2166, 44, F2, 5, 107) (dual of [(44, 5), 54, 108]-NRT-code), using construction X applied to AG(5;F,17P) ⊂ AG(5;F,18P) based on
- 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, using an explicitly constructive algebraic function field [i]
- linear OOA(2155, 42, F2, 5, 101) (dual of [(42, 5), 55, 102]-NRT-code), using algebraic-geometric NRT-code AG(5;F,18P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(25, 2, F2, 5, 5) (dual of [(2, 5), 5, 6]-NRT-code), using
- Reed–Solomon NRT-code RS(5;5,2) [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(2166, 44, F2, 5, 106) (dual of [(44, 5), 54, 107]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2167, 44, F2, 5, 107) (dual of [(44, 5), 53, 108]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2258, 77, F2, 5, 107) (dual of [(77, 5), 127, 108]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |