Information on Result #1128459
Linear OOA(2256, 65, F2, 5, 137) (dual of [(65, 5), 69, 138]-NRT-code), using construction X applied to AG(5;F,51P) ⊂ AG(5;F,69P) based on
- linear OOA(2206, 48, F2, 5, 137) (dual of [(48, 5), 34, 138]-NRT-code), using algebraic-geometric NRT-code AG(5;F,51P) 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(2170, 48, F2, 5, 101) (dual of [(48, 5), 70, 102]-NRT-code), using algebraic-geometric NRT-code AG(5;F,69P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(250, 17, F2, 5, 35) (dual of [(17, 5), 35, 36]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,49P) [i] based on function field F/F2 with g(F) = 15 and N(F) ≥ 17, 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(2256, 65, F2, 5, 136) (dual of [(65, 5), 69, 137]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2256, 65, F2, 5, 135) (dual of [(65, 5), 69, 136]-NRT-code) | [i] | ||
| 3 | Linear OOA(2256, 65, F2, 5, 134) (dual of [(65, 5), 69, 135]-NRT-code) | [i] | ||