Information on Result #1163858
Linear OOA(2248, 64, F2, 7, 115) (dual of [(64, 7), 200, 116]-NRT-code), using construction X applied to AG(7;F,110P) ⊂ AG(7;F,135P) based on
- linear OOA(2184, 48, F2, 7, 115) (dual of [(48, 7), 152, 116]-NRT-code), using algebraic-geometric NRT-code AG(7;F,110P) 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(2134, 48, F2, 7, 65) (dual of [(48, 7), 202, 66]-NRT-code), using algebraic-geometric NRT-code AG(7;F,135P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(264, 16, F2, 7, 49) (dual of [(16, 7), 48, 50]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(264, 17, F2, 7, 49) (dual of [(17, 7), 55, 50]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,69P) [i] based on function field F/F2 with g(F) = 15 and N(F) ≥ 17, using
- discarding factors / shortening the dual code based on linear OOA(264, 17, F2, 7, 49) (dual of [(17, 7), 55, 50]-NRT-code), using
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(2248, 64, F2, 7, 114) (dual of [(64, 7), 200, 115]-NRT-code) | [i] | Strength Reduction for OOAs | |