Information on Result #1128633
Linear OOA(2251, 71, F2, 5, 111) (dual of [(71, 5), 104, 112]-NRT-code), using construction X applied to AG(5;F,64P) ⊂ AG(5;F,86P) based on
- linear OOA(2180, 48, F2, 5, 111) (dual of [(48, 5), 60, 112]-NRT-code), using algebraic-geometric NRT-code AG(5;F,64P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
- linear OOA(2136, 48, F2, 5, 67) (dual of [(48, 5), 104, 68]-NRT-code), using algebraic-geometric NRT-code AG(5;F,86P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(271, 23, F2, 5, 43) (dual of [(23, 5), 44, 44]-NRT-code), using
- construction X applied to AG(5;F,56P) ⊂ AG(5;F,64P) [i] based on
- linear OOA(264, 20, F2, 5, 43) (dual of [(20, 5), 36, 44]-NRT-code), using algebraic-geometric NRT-code AG(5;F,56P) [i] based on function field F/F2 with g(F) = 21 and N(F) ≥ 21, using
- linear OOA(256, 20, F2, 5, 35) (dual of [(20, 5), 44, 36]-NRT-code), using algebraic-geometric NRT-code AG(5;F,64P) [i] based on function field F/F2 with g(F) = 21 and N(F) ≥ 21 (see above)
- linear OOA(27, 3, F2, 5, 7) (dual of [(3, 5), 8, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(5;8,2) [i]
- construction X applied to AG(5;F,56P) ⊂ AG(5;F,64P) [i] based on
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(2251, 71, F2, 5, 110) (dual of [(71, 5), 104, 111]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2251, 71, F2, 5, 109) (dual of [(71, 5), 104, 110]-NRT-code) | [i] | ||
| 3 | Linear OOA(2251, 71, F2, 5, 108) (dual of [(71, 5), 104, 109]-NRT-code) | [i] | ||
| 4 | Linear OOA(2256, 72, F2, 5, 111) (dual of [(72, 5), 104, 112]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(2252, 71, F2, 5, 111) (dual of [(71, 5), 103, 112]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2254, 71, F2, 5, 111) (dual of [(71, 5), 101, 112]-NRT-code) | [i] | ||