Information on Result #1127236
Linear OOA(2105, 44, F2, 5, 46) (dual of [(44, 5), 115, 47]-NRT-code), using construction X applied to AG(5;F,27P) ⊂ AG(5;F,28P) based on
- 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, using an explicitly constructive algebraic function field [i]
- linear OOA(295, 42, F2, 5, 41) (dual of [(42, 5), 115, 42]-NRT-code), using algebraic-geometric NRT-code AG(5;F,28P) 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(2105, 44, F2, 5, 45) (dual of [(44, 5), 115, 46]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2104, 43, F2, 5, 45) (dual of [(43, 5), 111, 46]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(2103, 43, F2, 5, 44) (dual of [(43, 5), 112, 45]-NRT-code) | [i] | ||
| 4 | Linear OOA(2102, 43, F2, 5, 43) (dual of [(43, 5), 113, 44]-NRT-code) | [i] | ||
| 5 | Linear OOA(2101, 43, F2, 5, 42) (dual of [(43, 5), 114, 43]-NRT-code) | [i] | ||
| 6 | Linear OOA(2102, 44, F2, 4, 43) (dual of [(44, 4), 74, 44]-NRT-code) | [i] | m-Reduction for OOAs | |
| 7 | Linear OOA(2101, 44, F2, 4, 42) (dual of [(44, 4), 75, 43]-NRT-code) | [i] | ||