Information on Result #1128306
Linear OOA(2246, 62, F2, 5, 137) (dual of [(62, 5), 64, 138]-NRT-code), using construction X applied to AG(5;F,51P) ⊂ AG(5;F,66P) 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(2176, 48, F2, 5, 107) (dual of [(48, 5), 64, 108]-NRT-code), using algebraic-geometric NRT-code AG(5;F,66P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(240, 14, F2, 5, 29) (dual of [(14, 5), 30, 30]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,40P) [i] based on function field F/F2 with g(F) = 11 and N(F) ≥ 14, 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(2246, 62, F2, 5, 136) (dual of [(62, 5), 64, 137]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2246, 62, F2, 5, 135) (dual of [(62, 5), 64, 136]-NRT-code) | [i] | ||
| 3 | Linear OOA(2246, 62, F2, 5, 134) (dual of [(62, 5), 64, 135]-NRT-code) | [i] | ||
| 4 | Linear OOA(2247, 62, F2, 5, 137) (dual of [(62, 5), 63, 138]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(2249, 62, F2, 5, 137) (dual of [(62, 5), 61, 138]-NRT-code) | [i] | ||