Information on Result #1128627
Linear OOA(2255, 71, F2, 5, 115) (dual of [(71, 5), 100, 116]-NRT-code), using construction X applied to AG(5;F,62P) ⊂ AG(5;F,84P) based on
- linear OOA(2184, 48, F2, 5, 115) (dual of [(48, 5), 56, 116]-NRT-code), using algebraic-geometric NRT-code AG(5;F,62P) 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(2140, 48, F2, 5, 71) (dual of [(48, 5), 100, 72]-NRT-code), using algebraic-geometric NRT-code AG(5;F,84P) 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(2255, 71, F2, 5, 114) (dual of [(71, 5), 100, 115]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2255, 71, F2, 5, 113) (dual of [(71, 5), 100, 114]-NRT-code) | [i] | ||
| 3 | Linear OOA(2255, 71, F2, 5, 112) (dual of [(71, 5), 100, 113]-NRT-code) | [i] | ||
| 4 | Linear OOA(2260, 72, F2, 5, 115) (dual of [(72, 5), 100, 116]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(2256, 71, F2, 5, 115) (dual of [(71, 5), 99, 116]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2258, 71, F2, 5, 115) (dual of [(71, 5), 97, 116]-NRT-code) | [i] | ||