Information on Result #1163282
Linear OOA(2228, 54, F2, 7, 136) (dual of [(54, 7), 150, 137]-NRT-code), using construction X applied to AG(7;F,99P) ⊂ AG(7;F,110P) based on
- linear OOA(2206, 48, F2, 7, 137) (dual of [(48, 7), 130, 138]-NRT-code), using algebraic-geometric NRT-code AG(7;F,99P) 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(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 (see above)
- linear OOA(222, 6, F2, 7, 20) (dual of [(6, 7), 20, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,21P) [i] based on function field F/F2 with g(F) = 2 and N(F) ≥ 6, 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(2228, 54, F2, 7, 135) (dual of [(54, 7), 150, 136]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2228, 54, F2, 7, 134) (dual of [(54, 7), 150, 135]-NRT-code) | [i] | ||